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Maximal sets of triangle-factors on v = 6m vertices

โœ Scribed by Rolf S. Rees

Publisher
John Wiley and Sons
Year
1998
Tongue
English
Weight
179 KB
Volume
6
Category
Article
ISSN
1063-8539

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โœฆ Synopsis

We show that the necessary condition m โ‰ค k โ‰ค 3m -1 that there exists a maximal set of k triangle-factors on 6m โ‰ฅ 18 vertices is also sufficient, except possibly when k = m.

๐Ÿ“œ SIMILAR VOLUMES

Maximal sets of triangle-factors on v =
Maximal sets of triangle-factors on v = 6m + 3 vertices
โœ Rolf S. Rees ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 473 KB

We show that the necessary condition m + 1 โ‰ค k โ‰ค 3m + 1 that there exist a maximal set of k triangle-factors on 6m + 3 โ‰ฅ 15 vertices is also sufficient, except possibly when k = m + 1, or when 6m + 3 {45, 57, 69, 81, 93, 237, 261, 309, 333, 381}.