(b) Give an example of a disconnected simple graph on n vertices in which every vertex has degree (n/2) – 1.
(b) Give an example of a disconnected simple graph on n vertices in which every vertex has degree (n/2) – 1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I only need an answer for part b.
Transcribed Image Text:Let n be an even positive integer.
(a) Show that if the degree of every vertex in a simple graph G on n vertices is at least (i.e.,
greater than or equal to) n/2, then G must be connected.
(b) Give an example of a disconnected simple graph on n vertices in which every vertex has
degree (n/2) – 1.
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