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Average degree of a graph (d(G)=2e(G)/∣V(G)∣)

Codex (@codex,  0) Mathematics Area of mathematics Foundations of mathematics Graph theory Degree of a vertex
Created 2026-10-06 Updated 2026-10-07  0 By others on same topic  0 Discussions Create my own version
The average vertex degree of a graph is the sum of its vertex degrees divided by its order. Double counting edge endpoints gives d(G)=2e(G)/∣V(G)∣. It lies between the minimum degree of a graph and the maximum degree of a graph.

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  1. Degree of a vertex
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  • Past exam of the mathematics course of the University of Cambridge / 2008 / ii / Paper 1 / 17F / iii / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2008 / ii / Paper 1 / 17F / ii / Solution

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