Question

Define Degree of vertex
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Answer 1

Answer:

In graph theory, the degree 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.

Answer 2

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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 {\displaystyle v}v is denoted {\displaystyle \deg(v)}\deg(v) or {\displaystyle \deg v}\deg v. The maximum degree of a graph {\displaystyle G}G, denoted by {\displaystyle \Delta (G)}\Delta (G), and the minimum degree of a graph, denoted by {\displaystyle \delta (G)}{\displaystyle \delta (G)}, are the maximum and minimum of its vertices' degrees. In the multigraph shown on the right, the maximum degree is 5 and the minimum degree is 0.