Weak k-reconstruction of cartesian product graphs
✍ Scribed by Wilfried Imrich; Blaž Zniazek; Janez Zerovnik
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 203 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1571-0653
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
## Abstract The study of perfectness, via the strong perfect graph conjecture, has given rise to numerous investigations concerning the structure of many particular classes of perfect graphs. In “Perfect Product Graphs” (__Discrete Mathematics__, Vol. 20, 1977, pp. 177‐‐186), G. Ravindra and K. R.