find : comparison between them the maximum size of independent set the maximum size of matching the minimum size of vertex cover the minimum size of edge cover

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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We now turn from matchings to independent sets. The independence
number of a graph is the maximum size of an independent set of vertices.
3.1.4. Definition. A maximal matching in a graph is a matching that cannot
be enlarged by adding an edge. A maximum matching is a matching of
maximum size among all matchings in the graph.
3.1.14. Definition. A vertex cover of a graph G is a set e s v(G) that
contains at least one endpoint of every edge. The vertices in Q cover E(G).
3.1.19. Definition. An edge cover of G is a set L of edges such that every
vertex of G is incident to some edge of L.
find : comparison between them
the maximum size of independent set
the maximum size of matching
the minimum size of vertex cover
the minimum size of edge cover
Transcribed Image Text:We now turn from matchings to independent sets. The independence number of a graph is the maximum size of an independent set of vertices. 3.1.4. Definition. A maximal matching in a graph is a matching that cannot be enlarged by adding an edge. A maximum matching is a matching of maximum size among all matchings in the graph. 3.1.14. Definition. A vertex cover of a graph G is a set e s v(G) that contains at least one endpoint of every edge. The vertices in Q cover E(G). 3.1.19. Definition. An edge cover of G is a set L of edges such that every vertex of G is incident to some edge of L. find : comparison between them the maximum size of independent set the maximum size of matching the minimum size of vertex cover the minimum size of edge cover
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