Abstract
The power graph \(\mathcal{G}(G)\) of a finite group G is the graph with vertex set G, having an edge joining x and y whenever one is a power of the other. In this paper we study some properties of \(\mathcal{G}(S_{n})\) and \(\mathcal{G}(D_{n})\), (n ≥ 3), where S n and D n are the symmetric group on n letters and dihedral group of degree n respectively. Finally we discuss the details about the power graphs of finite non-abelian groups of order up to 14.
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Chattopadhyay, S., Panigrahi, P. (2012). Power Graphs of Finite Groups of Even Order. In: Balasubramaniam, P., Uthayakumar, R. (eds) Mathematical Modelling and Scientific Computation. ICMMSC 2012. Communications in Computer and Information Science, vol 283. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28926-2_7
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DOI: https://doi.org/10.1007/978-3-642-28926-2_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-28925-5
Online ISBN: 978-3-642-28926-2
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