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Infinite Circulant Digraphs and Random Infinite Circulant Digraphs

โœ Scribed by Qiang Xiang Huang; Ji Xiang Meng; Fu Ji Zhang


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2002
Tongue
English
Weight
135 KB
Volume
18
Category
Article
ISSN
1439-7617

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๐Ÿ“œ SIMILAR VOLUMES


The Automorphism Groups of Minimal Infin
โœ Jixiang Meng; Huang Qiongxing ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 187 KB

An infinite circulant digraph is a Cayley digraph of the cyclic group of Z of integers . Here we prove that the full automorphism group of any strongly connected infinite circulant digraph over minimal generating set is just the group of translations of Z . We also present some related conjectures .

Connectivity of circulant digraphs
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An explicit expression is derived for the connectivity of circulant digraphs.

On arc-transitive circulant digraphs
โœ Huang Qiongxiang ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› SP Editorial Committee of Applied Mathematics - A ๐ŸŒ English โš– 413 KB
Characterization of c-circulant digraphs
โœ J.M. Brunat; M. Maureso; M. Mora ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 796 KB

A c-circulant digraph G,(c, A) has Z,V as its vertex set and adjacency rules given by .X + cs + a with a E A c Z,. The c-circulant digraphs of degree two which are isomorphic to some circulant digraph are characterized, and the corresponding isomorphism is given. Moreover. a sufficient condition is

On non-Hamiltonian circulant digraphs of
โœ Locke, Stephen C.; Witte, Dave ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 136 KB

We construct infinitely many connected, circulant digraphs of outdegree three that have no Hamiltonian circuit. All of our examples have an even number of vertices, and our examples are of two types: either every vertex in the digraph is adjacent to two diametrically opposite vertices, or every vert

Infinite digraphs with nonreconstructibl
โœ C. S. T. J. A. Nash-Williams ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 150 KB

## Abstract We show that the outvalency sequence of an infinite digraph is not, in general, reconstructible.