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Algebra and Discrete Mathematics, 2011, Volume 12, Issue 1, Pages 53–68
(Mi adm57)
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This article is cited in 4 scientific papers (total in 4 papers)
RESEARCH ARTICLE
Characterization of finite simple semigroup digraphs
J. Meksawanga, S. Panmaab, U. Knauerc a Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai, Thailand
b Centre of Excellence in Mathematics, CHE, Si Ayutthaya Rd.,
Bangkok 10400, Thailand
c Carl von Ossietzky Universitaet, Institut fuer Mathematik, D-26111, Oldenburg, Germany
Abstract:
This paper characterizes directed graphs which are Cayley graphs of finite simple semigroups, i.e. of a subspecies of completely regular semigroups. Moreover we investigate the structure of Cayley graphs of finite simple semigroups with a one-element connection set. We introduce the conditions for which they are isomorphic and connected.
Keywords:
Cayley graph, digraph, completely regular, completely simple semigroups, Rees matrix semigroup.
Citation:
J. Meksawang, S. Panma, U. Knauer, “Characterization of finite simple semigroup digraphs”, Algebra Discrete Math., 12:1 (2011), 53–68
Linking options:
https://www.mathnet.ru/eng/adm57 https://www.mathnet.ru/eng/adm/v12/i1/p53
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Abstract page: | 306 | Full-text PDF : | 98 | References: | 52 | First page: | 1 |
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