Node degree

As explained in Fabulous Adventures in Data Structures and Algorithms

Graph degree is the number of edges incident to a given graph node.

How Fabulous Adventures in Data Structures and Algorithms covers it

How deep it goes

Defines degree and works through low- and high-degree cases, then applies it in recursive coloring code.

Examples

Uses Falkland Islands, Colombia, and the South America graph as degree examples.

What it assumes

Assumes familiarity with graph nodes, edges, and colors; defines degree directly through incident edges.

What you can do after

Apply it via a recursive coloring algorithm that removes low-degree nodes before restoring them.

How it connects

Connects node degree to graphs, graph coloring, recursion, and backtracking search.

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Also explained in

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  Knowledge Graphs and LLMs in ActionNode degree is the number of edges incident to a node, optionally separated by incoming and outgoing direction.
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  Graph Neural Networks in ActionThe degree of a node is the number of graph edges incident to it, subject to conventions such as self-loop counting.
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  liveBookmanning.com
  Graph Algorithms for Data ScienceNode degree is the number of graph relationships incident to a node, with directed graphs potentially distinguishing incoming and outgoing relationships.

Compare how 4 books explain node degree →

Related concepts

• Adamic-Adar indexused by · The Adamic-Adar index is a link-prediction metric that scores node pairs by weighting common neighbors more highly when they have lower degree.
• common neighbor countmeasured by · Common neighbor count is the number of nodes directly connected to both members of a node pair, often used as a link-prediction score.
• degree-weighted path countused by · A degree-weighted path count is a path-based graph metric that weights paths according to the degrees of the entities they traverse.
• PageRankcontrasts with · PageRank is a link-analysis algorithm that estimates the relative importance of nodes in a directed graph from the structure and importance of incoming links.
• undirected graphcontrasts with · An undirected graph is a graph whose edges have no orientation, so each edge connects its endpoints symmetrically.

This explainer was generated by Manning's knowledge graph from the text of Fabulous Adventures in Data Structures and Algorithms. The section links point to the parts of the book it draws on.