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The relation between the Jordan structure of a matrix and its graph

โœ Scribed by Daniel Hershkowitz


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
900 KB
Volume
184
Category
Article
ISSN
0024-3795

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A linear vizing-like relation between th
โœ Rautenbach, Dieter ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 174 KB ๐Ÿ‘ 2 views

We prove m โ‰ค โˆ†n -(โˆ† + 1)ฮณ for every graph without isolated vertices of order n, size m, domination number ฮณ and maximum degree โˆ† โ‰ฅ 3. This generalizes a result of Fisher et al., CU-Denver Tech Rep, 1996] who obtained the given bound for the case โˆ† = 3.