If the lines of the complete graph K,, are calmed so that no point is on more than +(n -1) lines of the same color or so that each point lies on more than $(5n + 8) lines of different colors, then K,, contains a cycle of length n with adjacent lines having different colors. Let the lines of a graph
On a property of the class of n-colorable graphs
β Scribed by D Seinsche
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 129 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0095-8956
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## Abstract Let __m__ and __n__ be nonnegative integers. Denote by __P__(__m,n__) the set of all triangleβfree graphs __G__ such that for any independent __m__βsubset __M__ and any __n__βsubset __N__ of __V__(__G__) with __M__ β© __N__ = Γ, there exists a unique vertex of __G__ that is adjacent to e
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