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The enumeration of transitive self-complementary digraphs

โœ Scribed by N. Hegde; R.C. Read; M.R. Sridharan


Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
320 KB
Volume
47
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


A class of self-complementary vertex-tra
โœ Gek-Ling Chia; Chong-Keang Lim ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 312 KB

We characterize the class of self-complementary vertex-transitive digraphs on a prime number p of vertices. Using this, we enumerate (i) self-complementary strongly vertex-transitive digraphs on p vertices, (ii) self-complementary vertex-transitive digraphs on p vertices, (iii) selfcomplementary ver

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โœ Hong Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 266 KB

The class of self-complementary symmetric digraphs is characterized and it is shown that the number of vertices of such a digraph is an odd prime power.

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โœ Mihai Ciucu ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 142 KB

We prove that the number of cyclically symmetric, self-complementary plane partitions contained in a cube of side 2n equals the square of the number of totally symmetric, self-complementary plane partitions contained in the same cube, without explicitly evaluating either of these numbers. This appea

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โœ E. M. Palmer; A. J. Schwenk ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 304 KB

## Abstract Necklaces with beads of two colors which are left unchanged both by a reflection as well as by the interchange of the two colors are characterized in terms of their axes of symmetry. This characterization is then used to enumerate them. For __n__ = 2^__r__^m with __r__ โ‰ฅ 1 and __m__ odd