Exact coverings of 2-paths by 4-cycles
β Scribed by Katherine Heinrich; Gillian M Nonay
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 583 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
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## Abstract A double Dudeney set in __K~n~__ is a multiset of Hamilton cycles in __K~n~__ having the property that each 2βpath in __K~n~__ lies in exactly two of the cycles. A double Dudeney set in __K~n~__ has been constructed when __n__ββ₯β4 is even. In this paper, we construct a double Dudeney se
We survey some results on covering the vertices of 2-colored complete graphs by t w o paths or by t w o cycles Qf different color. W e show the role of these results i n determining path Ramsey numbers and in algorithms for finding long monochromatic paths or cycles in 2-colored complete graphs. ##