If a graph has a collection of subsets of the edge set E, with the edges of at most one cycle: Show that if |X| and |Y| are independent sets, show that |X| < |Y| implies that there exists {m} E Y\X such that XU (m} is independent.

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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If a graph has a collection of subsets of the edge
set E, with the edges of at most one cycle: Show
that if |X| and |Y| are independent sets, show
that |X| < |Y| implies that there exists {m} E Y\X
such that X U {m} is independent.
Transcribed Image Text:If a graph has a collection of subsets of the edge set E, with the edges of at most one cycle: Show that if |X| and |Y| are independent sets, show that |X| < |Y| implies that there exists {m} E Y\X such that X U {m} is independent.
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