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The line graph L(G) of a simple graph G is the graph whose vertices are in one-one correspondence with the edges of G, two vertices of L(G) being adjacent if and only if the corresponding edges of G are adjacent. (i) Show that K, and K, 3 have the same line graph. (ii) Show that the line graph of the tetrahedron graph is the octahedron graph. 1,3

The line graph L(G) of a simple graph G is the graph whose vertices are in one-one correspondence with the edges of G, two vertices of L(G) being adjacent if and only if the corresponding edges of G are adjacent. (i) Show that K, and K, 3 have the same line graph. (ii) Show that the line graph of the tetrahedron graph is the octahedron graph. 1,3

Computer Networking: A Top-Down Approach (7th Edition)
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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The line graph L(G) of a simple graph G is the graph whose vertices are in one-one correspondence with the edges of G, two vertices of L(G) being adjacent if and only if the corresponding edges of G are adjacent. Show that K3 and K, , have the same line graph. (i) (ii) Show that the line graph of the tetrahedron graph is the octahedron graph.
Transcribed Image Text:The line graph L(G) of a simple graph G is the graph whose vertices are in one-one correspondence with the edges of G, two vertices of L(G) being adjacent if and only if the corresponding edges of G are adjacent. Show that K3 and K, , have the same line graph. (i) (ii) Show that the line graph of the tetrahedron graph is the octahedron graph.
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