(23) There exist some disconnected self-complementary graphs." (24) "For any even integer n ≥ 4, there exists a connected graph of order n such that all the vertices have odd degrees and that there is no bridge." (25) "For any even integer k ≥ 6, if C is an induced subgraph of a graph G and if the diameter of G is less than k/2, then G contains at least three cycles."

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter13: Overloading And Templates
Section: Chapter Questions
Problem 39SA
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[F] Is each of the following statements true or false?
Transcribed Image Text:[F] Is each of the following statements true or false?
(23) "There exist some disconnected self-complementary graphs."
(24) "For any even integer n ≥ 4, there exists a connected graph of order n
such that all the vertices have odd degrees and that there is no bridge."
(25) "For any even integer k ≥ 6, if Cê is an induced subgraph of a graph G
and if the diameter of G is less than k/2, then G contains at least three cycles."
Transcribed Image Text:(23) "There exist some disconnected self-complementary graphs." (24) "For any even integer n ≥ 4, there exists a connected graph of order n such that all the vertices have odd degrees and that there is no bridge." (25) "For any even integer k ≥ 6, if Cê is an induced subgraph of a graph G and if the diameter of G is less than k/2, then G contains at least three cycles."
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