Abstxact. The purpose of this paper is to find iI nccessar) and sufficient condition fltr the euis-trn~~ of ;L decoillposi!ion of a ~omplcte graph with given number of vc;tices into regular bichro-ma% ticfor ;uld v.1 artswcr thy' question what is the possible number of factors in such a de-c~?rnp~~i
Decompositions of complete graphs into regular bichromatic factors
β Scribed by Anton Kotzig
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 517 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
The proof of the following theorem is given: A complete graph with n vertkes can he decomposed into r regular bichromatic factors if and only if n is even and greater thl;iirl 4 and there exists $1 natural number k with the properties that k < r anu. ak-l < n 5 Zk.
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