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Independence and average distance in graphs

✍ Scribed by Peter Firby; Julie Haviland


Book ID
104294735
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
628 KB
Volume
75
Category
Article
ISSN
0166-218X

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The average distance and the independenc
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We prove that in every connected graph the independence number is at least as large as the average distance between vertices. Theorem. For every connected graph G , we have a ( G ) 2 D ( G ) , with equality if and only if G is a complete graph.