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Lower bounds on the independence number in terms of the degrees

โœ Scribed by Jerrold R Griggs


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
872 KB
Volume
34
Category
Article
ISSN
0095-8956

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๐Ÿ“œ SIMILAR VOLUMES


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โœ Thiele, Torsten ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 104 KB ๐Ÿ‘ 3 views

We present a lower bound on the independence number of arbitrary hypergraphs in terms of the degree vectors. The degree vector of a vertex v is given by d is the number of edges of size m containing v. We define a function f with the property that any hypergraph H = (V, E) satisfies ฮฑ(H) โ‰ฅ vโˆˆV f (d

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## Abstract The number of independent vertex subsets is a graph parameter that is, apart from its purely mathematical importance, of interest in mathematical chemistry. In particular, the problem of maximizing or minimizing the number of independent vertex subsets within a given class of graphs has