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Algebra and Discrete Mathematics, 2014, Volume 18, Issue 1, Pages 42–49 (Mi adm480)  
This article is cited in 16 scientific papers (total in 16 papers)

RESEARCH ARTICLE

Connectivity and planarity of power graphs of finite cyclic, dihedral and dicyclic groups

Sriparna Chattopadhyay, Pratima Panigrahi

Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India
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Abstract: The power graph of a finite group is the graph whose vertices are the elements of the group and two distinct vertices are adjacent if and only if one is an integral power of the other. In this paper we discuss the planarity and vertex connectivity of the power graphs of finite cyclic, dihedral and dicyclic groups. Also we apply connectivity concept to prove that the power graphs of both dihedral and dicyclic groups are not Hamiltonian.
Keywords: power graph, connectivity, planarity, cyclic group, dihedral group, dicyclic group.
Received: 14.07.2012
Revised: 04.04.2013
Bibliographic databases:
Document Type: Article
MSC: 05C25, 05C10, 05C40
Language: English
Citation: Sriparna Chattopadhyay, Pratima Panigrahi, “Connectivity and planarity of power graphs of finite cyclic, dihedral and dicyclic groups”, Algebra Discrete Math., 18:1 (2014), 42–49
Citation in format AMSBIB
\Bibitem{ChaPan14}
\by Sriparna~Chattopadhyay, Pratima~Panigrahi
\paper Connectivity and planarity of power graphs of finite cyclic, dihedral and dicyclic groups
\jour Algebra Discrete Math.
\yr 2014
\vol 18
\issue 1
\pages 42--49
\mathnet{http://mi.mathnet.ru/adm480}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3280255}
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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