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## UGC NET Computer Science Paper-2 December 2015 2. Which of the following statement(s) is/are false?

**(a) A connected multigraph has an Euler Circuit if and only if each of its vertices has even degree.**

(b) A connected multigraph has an Euler Path but not an Euler Circuit if and only if it has exactly two vertices of odd degree.

(c) A complete graph (Kn) has a Hamilton Circuit whenever nā„3

(d) A cycle over six vertices (C6) is not a bipartite graph but a complete graph over 3 vertices is bipartite.

Codes:

(b) A connected multigraph has an Euler Path but not an Euler Circuit if and only if it has exactly two vertices of odd degree.

(c) A complete graph (Kn) has a Hamilton Circuit whenever nā„3

(d) A cycle over six vertices (C6) is not a bipartite graph but a complete graph over 3 vertices is bipartite.

Codes:

(A) (a) only

(B) (b) and (c)

(C) (c) only

(D) (d) only

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## Answers

D is the correct answerelectron

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