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Hamilton surfaces for the complete symmetric tripartite graph

โœ Scribed by Nora Hartsfield; Gerhard Ringel

Book ID
112496647
Publisher
Springer
Year
1988
Tongue
English
Weight
192 KB
Volume
50
Category
Article
ISSN
0003-889X

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๐Ÿ“œ SIMILAR VOLUMES

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The authors discuss a hamilton surface of a graph, which is a two-dimensional analog of a hamilton cycle. Hamilton surface decompositions are given for &,+ In addition a few hamilton surface decompositions are given for &,.

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## Abstract We construct a new symmetric Hamilton cycle decomposition of the complete graph __K~n~__ for odd __n__โ€‰>โ€‰7. ยฉ 2003 Wiley Periodicals, Inc.

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Symmetric Hamilton cycle decompositions of complete graphs minus a 1-factor
โœ Richard A. Brualdi; Michael W. Schroeder ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 190 KB ๐Ÿ‘ 1 views

Let n โ‰ฅ 2 be an integer. The complete graph K n with a 1-factor F removed has a decomposition into Hamilton cycles if and only if n is even. We show that K n -F has a decomposition into Hamilton cycles which are symmetric with respect to the 1-factor F if and only if n โ‰ก 2,4 mod 8. We also show that