The Extended Graph plugin can visualize various statistical metrics by adjusting node sizes and colors based on vault analytics. This feature helps identify patterns and important elements in your vault's structure.

• Values are normalized relative to your vault's content
• Larger nodes/links indicate higher values for the chosen metric

You can choose the size of a file node with a property. Number values found for the specified property will be used as the base size instead of the default size (100).

Nodes can be sized or colored based on the following metrics:

Basic Metrics

• Constant
• Number of backlinks (unique or counting duplicates)
• Number of forward links (unique or counting duplicates)
• Number of links (unique or counting duplicates)
• File name length
• Number of tags
• Time since file creation
• Time since last modification

Graph Analytics

• Eccentricity in the connected graph: The maximum distance from this node to any other node
• Betweenness centrality: Measures how often a node acts as a bridge between other nodes
• Closeness centrality: Indicates how close a node is to all other nodes
• Degree: Total number of connections
• Eigenvector centrality: Measures node importance based on the importance of its neighbors
• Hub centrality (from HITS): Indicates how well a node points to authority nodes
• Authority centrality (from HITS): Indicates how well a node is pointed to by hub nodes
• Topological propagation: Measures how many nodes are connected with forward links (directly and indirectly)
• Sentiment (also requires NLP plugin)

The size of the nodes are scaled by a factor in a range mapped to the values of all the nodes, by a linear interpolation. You can choose the minimum and maximum of the scaling factor, which will define how much nodes are scaled down/up based on the associated metric.

The Obsidian graph is oriented, meaning that links have a direction (from source to target). This impacts multiple statistics depending on graph analysis and edge orientations. If you want to reverse this and use a direction from target to source, enable this feature.

• Number of occurences: Count the number of time a link exists in a node
• Adamic-Adar: Measures connection strength based on shared neighbors
• Bag of Words: Analyzes similarity based on note content (also requires NLP plugin)
• Clustering Coefficient: Measures how connected a node's neighbors are to each other
• Jaccard: Compares the overlap of connections between nodes
• Otsuka-Ochiai Coefficient (also requires NLP plugin)
• Overlap Coefficient: Measures the overlap between node neighborhoods
• Co-Citations: Measures how often two nodes are cited together

Some metrics depend on the graph structure. You can enable this feature to force this metrics to be recomputed everytime the graph data changes. Note that if you have a lot of notes in your graph, it might slow down the process of filtering in and out nodes and links.