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Algebra and Discrete Mathematics, 2017, Volume 24, Issue 2, Pages 221–234
(Mi adm629)
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This article is cited in 5 scientific papers (total in 5 papers)
RESEARCH ARTICLE
Embeddings of (proper) power graphs of finite groups
A. Doostabadia, M. Farrokhi D.G.b a University of Zabol, Faculty of Science, Zabol, Iran
b Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O.Box 1159-91775, Mashhad, Iran
Abstract:
The (proper) power graph of a group is a graph whose vertex set is the set of all (nontrivial) elements of the group and two distinct vertices are adjacent if one is a power of the other. Various kinds of planarity of (proper) power graphs of groups are discussed.
Keywords:
power graph, planar graph, outerplanar graph, ring graph, $1$-planar graph, almost planar graph, maximal planar graph, toroidal graph, projective graph.
Received: 13.01.2016
Citation:
A. Doostabadi, M. Farrokhi D.G., “Embeddings of (proper) power graphs of finite groups”, Algebra Discrete Math., 24:2 (2017), 221–234
Linking options:
https://www.mathnet.ru/eng/adm629 https://www.mathnet.ru/eng/adm/v24/i2/p221
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Abstract page: | 166 | Full-text PDF : | 75 | References: | 24 |
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