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The VAN DER POL Numbers and a Related Sequence of Rational Numbers

✍ Scribed by F. T. Howard

Publisher
John Wiley and Sons
Year
1969
Tongue
English
Weight
384 KB
Volume
42
Category
Article
ISSN
0025-584X

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πŸ“œ SIMILAR VOLUMES

A linear Vizing-like relation relating t
A linear Vizing-like relation relating the size and total domination number of a graph
✍ Michael A. Henning πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 77 KB

## Abstract We prove that __m__ ≀ Δ (__n__β€‰βˆ’β€‰Ξ³~t~) for every graph each component of which has order at least 3 of order __n__, size __m__, total domination number Ξ³~t~, and maximum degree Δ β‰₯ 3. Β© 2005 Wiley Periodicals, Inc. J Graph Theory 49: 285–290, 2005

Erratum to: β€œA linear vizing-like relati
Erratum to: β€œA linear vizing-like relation relating the size and total domination number of a graph”
✍ Erfang Shan; Liying Kang; Michael A. Henning πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 83 KB

## Abstract The proof of the main theorem in the paper [1] is incorrect as it is missing an important case. Here we complete the proof by giving the missing case. Β© 2007 Wiley Periodicals, Inc. J Graph Theory 54: 350–353, 2007

A linear vizing-like relation between th
A linear vizing-like relation between the size and the domination number of a graph
✍ Rautenbach, Dieter πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 174 KB πŸ‘ 2 views

We prove m ≀ βˆ†n -(βˆ† + 1)Ξ³ for every graph without isolated vertices of order n, size m, domination number Ξ³ and maximum degree βˆ† β‰₯ 3. This generalizes a result of Fisher et al., CU-Denver Tech Rep, 1996] who obtained the given bound for the case βˆ† = 3.