What is the degree of a vertex in a graph?

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What is the degree of a vertex in a graph?

The degree of a vertex in a graph refers to the number of edges that are connected to that particular vertex. In other words, it represents the number of adjacent vertices to a given vertex. The degree of a vertex is a fundamental concept in graph theory and is often denoted by the symbol "deg(v)" or "d(v)", where "v" represents the vertex. The degree of a vertex can range from 0 (in the case of an isolated vertex with no edges) to n-1 (in the case of a complete graph with n vertices, where each vertex is connected to every other vertex).