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Characterization of self-complementary symmetric digraphs

✍ Scribed by Hong Zhang


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
266 KB
Volume
161
Category
Article
ISSN
0012-365X

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✦ Synopsis


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.


πŸ“œ SIMILAR VOLUMES


Self-complementary symmetric graphs
✍ Hong Zhang πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 236 KB

## Abstract The class of self‐complementary symmetric graphs is characterized using the classification of finite simple group.

A class of self-complementary vertex-tra
✍ Gek-Ling Chia; Chong-Keang Lim πŸ“‚ Article πŸ“… 1986 πŸ› John Wiley and Sons 🌐 English βš– 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

All Self-Complementary Symmetric Graphs
✍ Wojciech Peisert πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 153 KB

In 1992, H. Zhang (J. Graph Theory 16, 1-5), using the classification of finite simple groups, gave an algebraic characterisation of self-complementary symmetric graphs. Yet, from this characterisation it does not follow whether such graphs, other than the well-known Paley graphs, exist. In this pap

The Equivalence between Enumerating Cycl
✍ Mihai Ciucu πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 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