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Degree (graph theory)

In graph theory, the degree (or valency) of a vertex of a graph is the number of edges that are incident to the vertex; in a multigraph, a loop contributes 2 to a vertex's degree, for the two ends of the edge. The degree of a vertex v {\displaystyle v} is denoted deg ⁡ ( v ) {\displaystyle \deg(v)} or deg ⁡ v {\displaystyle \deg v} . The maximum degree…

Degree sequence, Global properties & Special values

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Handshaking lemma

Degree sequence

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Global properties

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Degree (graph theory)

Nodes44
Edges43
Triples0
Avg. degree1.95
Density0.045455
Components1

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Important terminology

degree graph vertex sequence displaystyle number vertices called degrees denoted odd graphs maximum multigraph given problem every special edges sum

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