Asymptotic values of clique partition numbers
β Scribed by W. D. Wallis
- Book ID
- 110564333
- Publisher
- Springer-Verlag
- Year
- 1982
- Tongue
- English
- Weight
- 109 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0209-9683
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π SIMILAR VOLUMES
Let G be a line graph. Orlin determined the clique covering and clique partition numbers cc(G) and cp(G). We obtain a constructive proof of Orlin's result and in doing so we are able to completely enumerate the number of distinct minimal clique covers and partitions of G, in terms of easily calculab
## Abstract We calculate the asymptotic value of the choice number of complete multiβpartite graphs, given certain limitations on the relation between the sizes of the different sides. In the bipartite case, we prove that if __n__~0~ β€ __n__~1~ and log__n__~0~ β« loglog__n__~1~, then $ch(K\_{n\_{0},
For each natural number n, denote by G(n) the set of all numbers c such that there exists a graph with exactly c cliques (i.e., complete subgraphs) and n vertices. We prove the asymptotic estimate Ia(n)l = 0(2"n -z/5) and show that all natural numbers between n + 1 and 2 "-6"5~6 belong to G(n). Thus