We study the generating functions for the number of stable sets of all cardinalities, in the case of graphs which are Cartesian products by paths, cycles, or trees. Explicit results are given for products by cliques. Algorithms based on matrix products are derived for grids, cylinders, toruses and h
✦ LIBER ✦
Colourings of the cartesian product of graphs and multiplicative Sidon sets
✍ Scribed by Attila Pór; David R. Wood
- Publisher
- Springer-Verlag
- Year
- 2009
- Tongue
- English
- Weight
- 551 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
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## Abstract This article proves the following result: Let __G__ and __G__′ be graphs of orders __n__ and __n__′, respectively. Let __G__^\*^ be obtained from __G__ by adding to each vertex a set of __n__′ degree 1 neighbors. If __G__^\*^ has game coloring number __m__ and __G__′ has acyclic chromat
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