COMPUTER SCIENCE AND ENGINEERING
DATA STRUCTURES
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]

The maximum degree of any vertex in a single graph with N vertices is

N


N1


N+1


2N+1

Explanation:
Detailed explanation1: 11.1. 20In a graph with n vertices, the highest degree possible is n − 1 since there are only n − 1 edges for any particular vertex to be adjacent to. Therefore, in a graph with 5 vertices, no vertex could have degree 5.
Detailed explanation2: So the degree of a vertex will be up to the number of vertices in the graph minus 1. This 1 is for the selfvertex as it cannot form a loop by itself. If there is a loop at any of the vertices, then it is not a Simple Graph.
Detailed explanation3: The maximum degree of a vertex in G is: n/2C2.
Detailed explanation4: A vertex with degree 1 is called a leaf vertex or end vertex or a pendant vertex, and the edge incident with that vertex is called a pendant edge.
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