Question 2Asked in UGC NET Computer Science, June 2014 (Paper II & III, Selected Questions)

Consider a complete bipartite graph kₘ,ₙ. For which values of m and n does this, complete graph have a Hamilton circuit

  1. Am = 3, n = 2
  2. Bm = 2, n = 3
  3. Cm = n ≥ 2
  4. Dm = n ≥ 3
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Correct answer: (C) m = n ≥ 2

Explanation

Kₘ,ₙ is Hamilton circuit if and only if m = n ≥ 2, (Circuit is a path similar to a cycle that starts and ends at the same vertex) and Kₘ,ₙ is a Hamilton circuit if m = n ≥ 2, so the correct answer is (c).

From UGC NET Computer Science PYQ, June 2014 (Paper II & III, Selected Questions)

This is question 2 of UGC NET Computer Science PYQ, June 2014 (Paper II & III, Selected Questions). See all questions of this paper with answers, or attempt the paper as a timed online test to get your score and all-India rank.