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A Note on Independent Sets in Trees

โœ Scribed by Sagan, Bruce E.


Book ID
118197502
Publisher
Society for Industrial and Applied Mathematics
Year
1988
Tongue
English
Weight
429 KB
Volume
1
Category
Article
ISSN
0895-4801

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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 .