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Finite digraphs with given regular automorphism groups

✍ Scribed by L. Babai

Publisher
Springer Netherlands
Year
1980
Tongue
English
Weight
783 KB
Volume
11
Category
Article
ISSN
0031-5303

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πŸ“œ SIMILAR VOLUMES

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## Abstract It was shown by Babai and Imrich [2] that every finite group of odd order except $Z^2\_3$ and $Z^3\_3$ admits a regular representation as the automorphism group of a tournament. Here, we show that for __k__ β‰₯ 3, every finite group whose order is relatively prime to and strictly larger t

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A directed Cayley graph X is called a digraphical regular representation (DRR) of a group G if the automorphism group of X acts regularly on X . Let S be a finite generating set of the infinite cyclic group Z. We show that a directed Cayley graph X (Z, S) is a DRR of Z if and only if As a general r