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.
β¦ LIBER β¦
Average distance and independence number
β Scribed by P. Dankelmann
- Book ID
- 104183140
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 493 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
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