Attendees of a faculty party shake hands to greet each other, and each professor remembers how many
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Attendees of a faculty party shake hands to greet each other, and each professor remembers how many times he or she shook hands. At the end of the party, the department head adds up the number of times that each professor shook hands. Show that the result is even by proving the handshaking lemma: if G = (V, E) is an undirected graph, then
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E degree(v) = 2|E| . veV
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The Handshaking Lemma states that the sum of all the degrees of the vertices in a graph is equa...View the full answer
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Related Book For
Introduction to Algorithms
ISBN: 978-0262033848
3rd edition
Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest
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