Graph products and monochromatic multiplicities
β Scribed by Andrew Thomason
- Publisher
- Springer-Verlag
- Year
- 1997
- Tongue
- English
- Weight
- 558 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract It is well known that every planar graph __G__ is 2βcolorable in such a way that no 3βcycle of __G__ is monochromatic. In this paper, we prove that __G__ has a 2βcoloring such that no cycle of length 3 or 4 is monochromatic. The complete graph __K__~5~ does not admit such a coloring. On
## Abstract In this article, we study a new product of graphs called __tight product__. A graph __H__ is said to be a tight product of two (undirected multi) graphs __G__~1~ and __G__~2~, if __V__(__H__) = __V__(__G__~1~) Γ __V__(__G__~2~) and both projection maps __V__(__H__)β__V__(__G__~1~) and _
There is a product of two linear orders of size 2nn with the property that every subset or complement thereof contains a maximal chain. Furthermore, for regular l&, there is a product of two linear orders of size t&+2 that when colored with fewer than & colors always has a monochromatic maximal chai