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In an undirected graph, if we add the degrees of all vertices, it is:
  • a)
    odd
  • b)
    even
  • c)
    cannot be determined
  • d)
    always n + 1, where n is number of nodes
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In an undirected graph, if we add the degrees of all vertices, it is:a...
Data:
For an undirected graph
sum of degree in a graph = dsum
number of edges in a graph  = e
Formula:
By handshaking lemma:
dsum = 2 × e
Conclustion:
if e is even
dsum = 2 × even = even
if e is odd
dsum = 2 × odd = even
In an undirected graph, if we add the degrees of all vertices, it is even
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In an undirected graph, if we add the degrees of all vertices, it is:a)oddb)evenc)cannot be determinedd)always n + 1, where n is number of nodesCorrect answer is option 'B'. Can you explain this answer?
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