Let G be a simple graph of order n and minimum degree $. The independent domination number i(G) is defined to be the minimum cardinality among all maximal independent sets of vertices of G. In this paper, we show that i(G) n+2$&2 -n$. Thus a conjecture of Favaron is settled in the affirmative.
An Upper Bound for the Turán Number t3(n, 4)
✍ Scribed by Fan Chung; Linyuan Lu
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 117 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
✦ Synopsis
Let t r (n, r+1) denote the smallest integer m such that every r-uniform hypergraph on n vertices with m+1 edges must contain a complete graph on r+1 vertices. In this paper, we prove that lim
3+-17 12 =0.593592... .
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