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A note on independence

โœ Scribed by Tibor R. Machan


Publisher
Springer Netherlands
Year
1976
Tongue
English
Weight
112 KB
Volume
30
Category
Article
ISSN
0031-8116

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๐Ÿ“œ SIMILAR VOLUMES


A note on cliques and independent sets
โœ Entringer, Roger C.; Goddard, Wayne; Henning, Michael A. ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 58 KB ๐Ÿ‘ 2 views

For integers m, n โ‰ฅ 2, let f (m, n) be the minimum order of a graph where every vertex belongs to both a clique of cardinality m and an independent set of cardinality n. We show that f (m, n) = ( โˆš m -1 + โˆš n -1) 2 .

A note concerning paths and independence
โœ Geลˆa Hahn; Bill Jackson ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 169 KB

We show that there exist digraphs D such that for all paths P, and P2 we have cu(D \(P, U PJ) = a(D) and point to a generalization.