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On Cayley Graphs of Inverse Semigroups

journal contribution
posted on 2023-05-16, 17:55 authored by Kelarev, AV
We describe all finite inverse semigroups and all commutative inverse semigroups with bipartite Cayley graphs. Examples are given which show that this description does not generalize to arbitrary inverse semigroups. Next, we describe all inverse epigroups with Cayley graphs which are disjoint unions of complete graphs. The example of Baer-Levi semigroups shows that it is impossible to drop the condition that G be inverse from this theorem. © 2006 Springer.

Funding

Australian Research Council

History

Publication title

Semigroup Forum

Volume

72

Pagination

411-418

ISSN

0037-1912

Department/School

School of Information and Communication Technology

Publisher

Springer New York LLC

Place of publication

United States

Repository Status

  • Restricted

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