Type: Package
Title: Visualise Clusterings at Different Resolutions
Version: 0.5.1
Date: 2023-11-05
Maintainer: Luke Zappia <luke@lazappi.id.au>
Description: Deciding what resolution to use can be a difficult question when approaching a clustering analysis. One way to approach this problem is to look at how samples move as the number of clusters increases. This package allows you to produce clustering trees, a visualisation for interrogating clusterings as resolution increases.
License: GPL-3
Encoding: UTF-8
LazyData: true
URL: https://github.com/lazappi/clustree, https://lazappi.github.io/clustree/
BugReports: https://github.com/lazappi/clustree/issues
VignetteBuilder: knitr
Depends: R (≥ 3.5), ggraph
Imports: checkmate, igraph, dplyr, grid, ggplot2 (≥ 3.4.0), viridis, methods, rlang, tidygraph, ggrepel
Suggests: testthat (≥ 2.1.0), knitr, rmarkdown, SingleCellExperiment, Seurat (≥ 2.3.0), covr, SummarizedExperiment, pkgdown, spelling
RoxygenNote: 7.2.3
Language: en-GB
NeedsCompilation: no
Packaged: 2023-11-05 18:40:36 UTC; luke.zappia
Author: Luke Zappia ORCID iD [aut, cre], Alicia Oshlack ORCID iD [aut], Andrea Rau [ctb], Paul Hoffman ORCID iD [ctb]
Repository: CRAN
Date/Publication: 2023-11-05 19:10:02 UTC

Clustree

Description

Deciding what resolution to use can be a difficult question when approaching a clustering analysis. One way to approach this problem is to look at how samples move as the number of clusters increases. This package allows you to produce clustering trees, a visualisation for interrogating clusterings as resolution increases.


Add node labels

Description

Add node labels to a clustering tree plot with the specified aesthetics.

Usage

add_node_labels(
  node_label,
  node_colour,
  node_label_size,
  node_label_colour,
  node_label_nudge,
  allowed
)

Arguments

node_label

the name of a metadata column for node labels

node_colour

either a value indicating a colour to use for all nodes or the name of a metadata column to colour nodes by

node_label_size

size of node label text

node_label_colour

colour of node_label text

node_label_nudge

numeric value giving nudge in y direction for node labels

allowed

vector of allowed node attributes to use as aesthetics


Add node points

Description

Add node points to a clustering tree plot with the specified aesthetics.

Usage

add_node_points(node_colour, node_size, node_alpha, allowed)

Arguments

node_colour

either a value indicating a colour to use for all nodes or the name of a metadata column to colour nodes by

node_size

either a numeric value giving the size of all nodes or the name of a metadata column to use for node sizes

node_alpha

either a numeric value giving the alpha of all nodes or the name of a metadata column to use for node transparency

allowed

vector of allowed node attributes to use as aesthetics


Aggregate metadata

Description

Aggregate a metadata column to get a summarized value for a cluster node

Usage

aggr_metadata(node_data, col_name, col_aggr, metadata, is_cluster)

Arguments

node_data

data.frame containing information about a set of cluster nodes

col_name

the name of the metadata column to aggregate

col_aggr

string naming a function used to aggregate the column

metadata

data.frame providing metadata on samples

is_cluster

logical vector indicating which rows of metadata are in the node to be summarized

Value

data.frame with aggregated data


Assert colour node aesthetics

Description

Raise error if an incorrect set of colour node parameters has been supplied.

Usage

assert_colour_node_aes(
  node_aes_name,
  prefix,
  metadata,
  node_aes,
  node_aes_aggr,
  min,
  max
)

Arguments

node_aes_name

name of the node aesthetic to check

prefix

string indicating columns containing clustering information

metadata

data.frame containing metadata on each sample that can be used as node aesthetics

node_aes

value of the node aesthetic to check

node_aes_aggr

aggregation function associated with the node aesthetic

min

minimum numeric value allowed

max

maximum numeric value allowed


Assert node aesthetics

Description

Raise error if an incorrect set of node parameters has been supplied.

Usage

assert_node_aes(node_aes_name, prefix, metadata, node_aes, node_aes_aggr)

Arguments

node_aes_name

name of the node aesthetic to check

prefix

string indicating columns containing clustering information

metadata

data.frame containing metadata on each sample that can be used as node aesthetics

node_aes

value of the node aesthetic to check

node_aes_aggr

aggregation function associated with the node aesthetic


Assert numeric node aesthetics

Description

Raise error if an incorrect set of numeric node parameters has been supplied.

Usage

assert_numeric_node_aes(
  node_aes_name,
  prefix,
  metadata,
  node_aes,
  node_aes_aggr,
  min,
  max
)

Arguments

node_aes_name

name of the node aesthetic to check

prefix

string indicating columns containing clustering information

metadata

data.frame containing metadata on each sample that can be used as node aesthetics

node_aes

value of the node aesthetic to check

node_aes_aggr

aggregation function associated with the node aesthetic

min

minimum numeric value allowed

max

maximum numeric value allowed


Build tree graph

Description

Build a tree graph from a set of clusterings, metadata and associated aesthetics

Usage

build_tree_graph(
  clusterings,
  prefix,
  count_filter,
  prop_filter,
  metadata,
  node_aes_list
)

Arguments

clusterings

numeric matrix containing clustering information, each column contains clustering at a separate resolution

prefix

string indicating columns containing clustering information

count_filter

count threshold for filtering edges in the clustering graph

prop_filter

in proportion threshold for filtering edges in the clustering graph

metadata

data.frame containing metadata on each sample that can be used as node aesthetics

node_aes_list

nested list containing node aesthetics

Value

tidygraph::tbl_graph object containing the tree graph


Calculate SC3 stability

Description

Calculate the SC3 stability index for every cluster at every resolution in a set of clusterings. The index varies from 0 to 1, where 1 suggests that a cluster is more stable across resolutions. See calc_sc3_stability_cluster() for more details.

Usage

calc_sc3_stability(clusterings)

Arguments

clusterings

numeric matrix containing clustering information, each column contains clustering at a separate resolution

Value

matrix with stability score for each cluster


Calculate single SC3 stability

Description

Calculate the SC3 stability index for a single cluster in a set of clusterings. The index varies from 0 to 1, where 1 suggests that a cluster is more stable across resolutions.

Usage

calc_sc3_stability_cluster(clusterings, res, cluster)

Arguments

clusterings

numeric matrix containing clustering information, each column contains clustering at a separate resolution

res

resolution of the cluster to calculate stability for

cluster

index of the cluster to calculate stability for

Details

This index was originally introduced in the SC3 package for clustering single-cell RNA-seq data. Clusters are awarded increased stability if they share the same samples as a cluster at another resolution and penalised at higher resolutions. We use a slightly different notation to describe the score but the results are the same:

s(c_{k, i}) = \frac{1}{size(L) + 1} \sum_{l \in L} \sum_{j \in N_l} \frac{size(c_{k, i} \cap c_{l, j})}{size(c_{l, j}) * size(N_l) ^ 2}

Where:

Value

SC3 stability index

See Also

The documentation for the calculate_stability function in the SC3 package


Check node aes list

Description

Warn if node aesthetic names are incorrect

Usage

check_node_aes_list(node_aes_list)

Arguments

node_aes_list

List of node aesthetics

Value

Corrected node aesthetics list


Plot a clustering tree

Description

Creates a plot of a clustering tree showing the relationship between clusterings at different resolutions.

Usage

clustree(x, ...)

## S3 method for class 'matrix'
clustree(
  x,
  prefix,
  suffix = NULL,
  metadata = NULL,
  count_filter = 0,
  prop_filter = 0.1,
  layout = c("tree", "sugiyama"),
  use_core_edges = TRUE,
  highlight_core = FALSE,
  node_colour = prefix,
  node_colour_aggr = NULL,
  node_size = "size",
  node_size_aggr = NULL,
  node_size_range = c(4, 15),
  node_alpha = 1,
  node_alpha_aggr = NULL,
  node_text_size = 3,
  scale_node_text = FALSE,
  node_text_colour = "black",
  node_text_angle = 0,
  node_label = NULL,
  node_label_aggr = NULL,
  node_label_size = 3,
  node_label_nudge = -0.2,
  edge_width = 1.5,
  edge_arrow = TRUE,
  edge_arrow_ends = c("last", "first", "both"),
  show_axis = FALSE,
  return = c("plot", "graph", "layout"),
  ...
)

## S3 method for class 'data.frame'
clustree(x, prefix, ...)

## S3 method for class 'SingleCellExperiment'
clustree(x, prefix, exprs = "counts", ...)

## S3 method for class 'seurat'
clustree(x, prefix = "res.", exprs = c("data", "raw.data", "scale.data"), ...)

## S3 method for class 'Seurat'
clustree(
  x,
  prefix = paste0(assay, "_snn_res."),
  exprs = c("data", "counts", "scale.data"),
  assay = NULL,
  ...
)

Arguments

x

object containing clustering data

...

extra parameters passed to other methods

prefix

string indicating columns containing clustering information

suffix

string at the end of column names containing clustering information

metadata

data.frame containing metadata on each sample that can be used as node aesthetics

count_filter

count threshold for filtering edges in the clustering graph

prop_filter

in proportion threshold for filtering edges in the clustering graph

layout

string specifying the "tree" or "sugiyama" layout, see igraph::layout_as_tree() and igraph::layout_with_sugiyama() for details

use_core_edges

logical, whether to only use core tree (edges with maximum in proportion for a node) when creating the graph layout, all (unfiltered) edges will still be displayed

highlight_core

logical, whether to increase the edge width of the core network to make it easier to see

node_colour

either a value indicating a colour to use for all nodes or the name of a metadata column to colour nodes by

node_colour_aggr

if node_colour is a column name than a string giving the name of a function to aggregate that column for samples in each cluster

node_size

either a numeric value giving the size of all nodes or the name of a metadata column to use for node sizes

node_size_aggr

if node_size is a column name than a string giving the name of a function to aggregate that column for samples in each cluster

node_size_range

numeric vector of length two giving the maximum and minimum point size for plotting nodes

node_alpha

either a numeric value giving the alpha of all nodes or the name of a metadata column to use for node transparency

node_alpha_aggr

if node_aggr is a column name than a string giving the name of a function to aggregate that column for samples in each cluster

node_text_size

numeric value giving the size of node text if scale_node_text is FALSE

scale_node_text

logical indicating whether to scale node text along with the node size

node_text_colour

colour value for node text (and label)

node_text_angle

the rotation of the node text

node_label

additional label to add to nodes

node_label_aggr

if node_label is a column name than a string giving the name of a function to aggregate that column for samples in each cluster

node_label_size

numeric value giving the size of node label text

node_label_nudge

numeric value giving nudge in y direction for node labels

edge_width

numeric value giving the width of plotted edges

edge_arrow

logical indicating whether to add an arrow to edges

edge_arrow_ends

string indicating which ends of the line to draw arrow heads if edge_arrow is TRUE, one of "last", "first", or "both"

show_axis

whether to show resolution axis

return

string specifying what to return, either "plot" (a ggplot object), "graph" (a tbl_graph object) or "layout" (a ggraph layout object)

exprs

source of gene expression information to use as node aesthetics, for SingleCellExperiment objects it must be a name in assayNames(x), for a seurat object it must be one of data, raw.data or scale.data and for a Seurat object it must be one of data, counts or scale.data

assay

name of assay to pull expression and clustering data from for Seurat objects

Details

Data sources

Plotting a clustering tree requires information about which cluster each sample has been assigned to at different resolutions. This information can be supplied in various forms, as a matrix, data.frame or more specialised object. In all cases the object provided must contain numeric columns with the naming structure PXS where P is a prefix indicating that the column contains clustering information, X is a numeric value indicating the clustering resolution and S is any additional suffix to be removed. For SingleCellExperiment objects this information must be in the colData slot and for Seurat objects it must be in the meta.data slot. For all objects except matrices any additional columns can be used as aesthetics, for matrices an additional metadata data.frame can be supplied if required.

Filtering

Edges in the graph can be filtered by adjusting the count_filter and prop_filter parameters. The count_filter removes any edges that represent less than that number of samples, while the prop_filter removes edges that represent less than that proportion of cells in the node it points towards.

Node aesthetics

The aesthetics of the plotted nodes can be controlled in various ways. By default the colour indicates the clustering resolution, the size indicates the number of samples in that cluster and the transparency is set to 100%. Each of these can be set to a specific value or linked to a supplied metadata column. For a SingleCellExperiment or Seurat object the names of genes can also be used. If a metadata column is used than an aggregation function must also be supplied to combine the samples in each cluster. This function must take a vector of values and return a single value.

Layout

The clustering tree can be displayed using either the Reingold-Tilford tree layout algorithm or the Sugiyama layout algorithm for layered directed acyclic graphs. These layouts were selected as the are the algorithms available in the igraph package designed for trees. The Reingold-Tilford algorithm places children below their parents while the Sugiyama places nodes in layers while trying to minimise the number of crossing edges. See igraph::layout_as_tree() and igraph::layout_with_sugiyama() for more details. When use_core_edges is TRUE (default) only the core tree of the maximum in proportion edges for each node are used for constructing the layout. This can often lead to more attractive layouts where the core tree is more visible.

Value

a ggplot object (default), a tbl_graph object or a ggraph layout object depending on the value of return

Examples

data(nba_clusts)
clustree(nba_clusts, prefix = "K")


Overlay a clustering tree

Description

Creates a plot of a clustering tree overlaid on a scatter plot of individual samples.

Usage

clustree_overlay(x, ...)

## S3 method for class 'matrix'
clustree_overlay(
  x,
  prefix,
  metadata,
  x_value,
  y_value,
  suffix = NULL,
  count_filter = 0,
  prop_filter = 0.1,
  node_colour = prefix,
  node_colour_aggr = NULL,
  node_size = "size",
  node_size_aggr = NULL,
  node_size_range = c(4, 15),
  node_alpha = 1,
  node_alpha_aggr = NULL,
  edge_width = 1,
  use_colour = c("edges", "points"),
  alt_colour = "black",
  point_size = 3,
  point_alpha = 0.2,
  point_shape = 18,
  label_nodes = FALSE,
  label_size = 3,
  plot_sides = FALSE,
  side_point_jitter = 0.45,
  side_point_offset = 1,
  ...
)

## S3 method for class 'data.frame'
clustree_overlay(x, prefix, ...)

## S3 method for class 'SingleCellExperiment'
clustree_overlay(
  x,
  prefix,
  x_value,
  y_value,
  exprs = "counts",
  red_dim = NULL,
  ...
)

## S3 method for class 'seurat'
clustree_overlay(
  x,
  x_value,
  y_value,
  prefix = "res.",
  exprs = c("data", "raw.data", "scale.data"),
  red_dim = NULL,
  ...
)

## S3 method for class 'Seurat'
clustree_overlay(
  x,
  x_value,
  y_value,
  prefix = paste0(assay, "_snn_res."),
  exprs = c("data", "counts", "scale.data"),
  red_dim = NULL,
  assay = NULL,
  ...
)

Arguments

x

object containing clustering data

...

extra parameters passed to other methods

prefix

string indicating columns containing clustering information

metadata

data.frame containing metadata on each sample that can be used as node aesthetics

x_value

numeric metadata column to use as the x axis

y_value

numeric metadata column to use as the y axis

suffix

string at the end of column names containing clustering information

count_filter

count threshold for filtering edges in the clustering graph

prop_filter

in proportion threshold for filtering edges in the clustering graph

node_colour

either a value indicating a colour to use for all nodes or the name of a metadata column to colour nodes by

node_colour_aggr

if node_colour is a column name than a string giving the name of a function to aggregate that column for samples in each cluster

node_size

either a numeric value giving the size of all nodes or the name of a metadata column to use for node sizes

node_size_aggr

if node_size is a column name than a string giving the name of a function to aggregate that column for samples in each cluster

node_size_range

numeric vector of length two giving the maximum and minimum point size for plotting nodes

node_alpha

either a numeric value giving the alpha of all nodes or the name of a metadata column to use for node transparency

node_alpha_aggr

if node_aggr is a column name than a string giving the name of a function to aggregate that column for samples in each cluster

edge_width

numeric value giving the width of plotted edges

use_colour

one of "edges" or "points" specifying which element to apply the colour aesthetic to

alt_colour

colour value to be used for edges or points (whichever is NOT given by use_colour)

point_size

numeric value giving the size of sample points

point_alpha

numeric value giving the alpha of sample points

point_shape

numeric value giving the shape of sample points

label_nodes

logical value indicating whether to add labels to clustering graph nodes

label_size

numeric value giving the size of node labels is label_nodes is TRUE

plot_sides

logical value indicating whether to produce side on plots

side_point_jitter

numeric value giving the y-direction spread of points in side plots

side_point_offset

numeric value giving the y-direction offset for points in side plots

exprs

source of gene expression information to use as node aesthetics, for SingleCellExperiment objects it must be a name in assayNames(x), for a seurat object it must be one of data, raw.data or scale.data and for a Seurat object it must be one of data, counts or scale.data

red_dim

dimensionality reduction to use as a source for x_value and y_value

assay

name of assay to pull expression and clustering data from for Seurat objects

Details

Data sources

Plotting a clustering tree requires information about which cluster each sample has been assigned to at different resolutions. This information can be supplied in various forms, as a matrix, data.frame or more specialised object. In all cases the object provided must contain numeric columns with the naming structure PXS where P is a prefix indicating that the column contains clustering information, X is a numeric value indicating the clustering resolution and S is any additional suffix to be removed. For SingleCellExperiment objects this information must be in the colData slot and for Seurat objects it must be in the meta.data slot. For all objects except matrices any additional columns can be used as aesthetics.

Filtering

Edges in the graph can be filtered by adjusting the count_filter and prop_filter parameters. The count_filter removes any edges that represent less than that number of samples, while the prop_filter removes edges that represent less than that proportion of cells in the node it points towards.

Node aesthetics

The aesthetics of the plotted nodes can be controlled in various ways. By default the colour indicates the clustering resolution, the size indicates the number of samples in that cluster and the transparency is set to 100%. Each of these can be set to a specific value or linked to a supplied metadata column. For a SingleCellExperiment or Seurat object the names of genes can also be used. If a metadata column is used than an aggregation function must also be supplied to combine the samples in each cluster. This function must take a vector of values and return a single value.

Colour aesthetic

The colour aesthetic can be applied to either edges or sample points by setting use_colour. If "edges" is selected edges will be coloured according to the clustering resolution they originate at. If "points" is selected they will be coloured according to the cluster they are assigned to at the highest resolution.

Dimensionality reductions

For SingleCellExperiment and Seurat objects precomputed dimensionality reductions can be used for x or y aesthetics. To do so red_dim must be set to the name of a dimensionality reduction in reducedDimNames(x) (for a SingleCellExperiment) or x@dr (for a Seurat object). x_value and y_value can then be set to red_dimX when red_dim matches the red_dim argument and X is the column of the dimensionality reduction to use.

Value

a ggplot object if plot_sides is FALSE or a list of ggplot objects if plot_sides is TRUE

Examples

data(nba_clusts)
clustree_overlay(nba_clusts, prefix = "K", x_value = "PC1", y_value = "PC2")


Get tree edges

Description

Extract the edges from a set of clusterings

Usage

get_tree_edges(clusterings, prefix)

Arguments

clusterings

numeric matrix containing clustering information, each column contains clustering at a separate resolution

prefix

string indicating columns containing clustering information

Value

data.frame containing edge information


Get tree nodes

Description

Extract the nodes from a set of clusterings and add relevant attributes

Usage

get_tree_nodes(clusterings, prefix, metadata, node_aes_list)

Arguments

clusterings

numeric matrix containing clustering information, each column contains clustering at a separate resolution

prefix

string indicating columns containing clustering information

metadata

data.frame containing metadata on each sample that can be used as node aesthetics

node_aes_list

nested list containing node aesthetics

Value

data.frame containing node information


Clustered NBA positions dataset

Description

NBA positions dataset clustered using k-means with a range of values of k

Usage

nba_clusts

Format

nba_clusts is a data.frame containing the NBA positions dataset with additional columns holding k-means clusterings at different values of k and the first two principal components

Source

NBA positions downloaded from https://github.com/lazappi/nba_positions.

The source dataset is available from Kaggle at https://www.kaggle.com/drgilermo/nba-players-stats/data?select=Seasons_Stats.csv and was originally scraped from Basketball Reference.

See https://github.com/lazappi/clustree/blob/master/data-raw/nba_clusts.R for details of how clustering was performed.


Overlay node points

Description

Overlay clustering tree nodes on a scatter plot with the specified aesthetics.

Usage

overlay_node_points(
  nodes,
  x_value,
  y_value,
  node_colour,
  node_size,
  node_alpha
)

Arguments

nodes

data.frame describing nodes

x_value

column of nodes to use for the x position

y_value

column of nodes to use for the y position

node_colour

either a value indicating a colour to use for all nodes or the name of a metadata column to colour nodes by

node_size

either a numeric value giving the size of all nodes or the name of a metadata column to use for node sizes

node_alpha

either a numeric value giving the alpha of all nodes or the name of a metadata column to use for node transparency


Plot overlay side

Description

Plot the side view of a clustree overlay plot. If the ordinary plot shows the tree from above this plot shows it from the side, highlighting either the x or y dimension and the clustering resolution.

Usage

plot_overlay_side(
  nodes,
  edges,
  points,
  prefix,
  side_value,
  graph_attr,
  node_size_range,
  edge_width,
  use_colour,
  alt_colour,
  point_size,
  point_alpha,
  point_shape,
  label_nodes,
  label_size,
  y_jitter,
  y_offset
)

Arguments

nodes

data.frame describing nodes

edges

data.frame describing edges

points

data.frame describing points

prefix

string indicating columns containing clustering information

side_value

string giving the metadata column to use for the x axis

graph_attr

list describing graph attributes

node_size_range

numeric vector of length two giving the maximum and minimum point size for plotting nodes

edge_width

numeric value giving the width of plotted edges

use_colour

one of "edges" or "points" specifying which element to apply the colour aesthetic to

alt_colour

colour value to be used for edges or points (whichever is NOT given by use_colour)

point_size

numeric value giving the size of sample points

point_alpha

numeric value giving the alpha of sample points

point_shape

numeric value giving the shape of sample points

label_nodes

logical value indicating whether to add labels to clustering graph nodes

label_size

numeric value giving the size of node labels is label_nodes is TRUE

y_jitter

numeric value giving the y-direction spread of points in side plots

y_offset

numeric value giving the y-direction offset for points in side plots

Value

ggplot object


Simulated scRNA-seq dataset

Description

A simulated scRNA-seq dataset generated using the splatter package and clustered using the SC3 and Seurat packages.

Usage

sc_example

Format

sc_example is a list holding a simulated scRNA-seq dataset. Items in the list included the simulated counts, normalised log counts, tSNE dimensionality reduction and cell assignments from SC3 and Seurat clustering.

Source

# Simulation
library("splatter") # Version 1.2.1

sim <- splatSimulate(batchCells = 200, nGenes = 10000,
                     group.prob = c(0.4, 0.2, 0.2, 0.15, 0.05),
                     de.prob = c(0.1, 0.2, 0.05, 0.1, 0.05),
                     method = "groups", seed = 1)
sim_counts <- counts(sim)[1:1000, ]

# SC3 Clustering
library("SC3") # Version 1.7.6
library("scater") # Version 1.6.2

sim_sc3 <- SingleCellExperiment(assays = list(counts = sim_counts))
rowData(sim_sc3)$feature_symbol <- rownames(sim_counts)
sim_sc3 <- normalise(sim_sc3)
sim_sc3 <- sc3(sim_sc3, ks = 1:8, biology = FALSE, n_cores = 1)
sim_sc3 <- runTSNE(sim_sc3)

# Seurat Clustering
library("Seurat") # Version 2.2.0

sim_seurat <- CreateSeuratObject(sim_counts)
sim_seurat <- NormalizeData(sim_seurat, display.progress = FALSE)
sim_seurat <- FindVariableGenes(sim_seurat, do.plot = FALSE,
                                display.progress = FALSE)
sim_seurat <- ScaleData(sim_seurat, display.progress = FALSE)
sim_seurat <- RunPCA(sim_seurat, do.print = FALSE)
sim_seurat <- FindClusters(sim_seurat, dims.use = 1:6,
                           resolution = seq(0, 1, 0.1),
                           print.output = FALSE)

sc_example <- list(counts = counts(sim_sc3),
                   logcounts = logcounts(sim_sc3),
                   tsne = reducedDim(sim_sc3),
                   sc3_clusters = as.data.frame(colData(sim_sc3)),
                   seurat_clusters = sim_seurat@meta.data)

Store node aesthetics

Description

Store the names of node attributes to use as aesthetics as graph attributes

Usage

store_node_aes(graph, node_aes_list, metadata)

Arguments

graph

graph to store attributes in

node_aes_list

nested list containing node aesthetics

metadata

data.frame containing metadata that can be used as aesthetics

Value

graph with additional attributes