A set S of vertices is an independent set if there are no edges between any two vertices in S (e.g., vertices of a common color form an independent set). An edge cover is a set C of vertices such that every edge is incident to a vertex in C. Show that in a graph H with vertex set V, if S is an edge cover, then V-S is an independent set. can you explain with examples or drawing?

A set S of vertices is an independent set if there are no edges between any two vertices in S (e.g., vertices of a common color form an independent set). An edge cover is a set C of vertices such that every edge is incident to a vertex in C. Show that in a graph H with vertex set V, if S is an edge cover, then V-S is an independent set. can you explain with examples or drawing?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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