Graph Theory Q.31

0. If v is an isolated vertex in a graph (multigraph) G, then what is its degree?

  • Option : A
  • Explanation : The vertex v is isolated if it does not belong to any edge. Thus v is isolated if and only if deg(v) = O.
    Consider the multigraph G where:
    V(G) = [A,B,C,D] and
    E(G) = [{A,C},{A,D},{B,B},{B,C},{C,A},{C,B},{D,B},{D,D}]
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