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   Articles with "power graphs" as a keyword



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Characterizing finite nilpotent groups associated with a graph theoretic equality

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recommendations! Published in 2021 at "Ricerche di Matematica"

DOI: 10.1007/s11587-021-00655-4

Abstract: There are various graphs associated with groups which have been studied in the literature, e.g., Cayley graph, commuting graph, generating graph, prime graph. An interesting problem in this respect is to investigate the relation between… read more here.

Keywords: power graphs; group; power; graph ... See more keywords
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Signature of power graphs

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recommendations! Published in 2018 at "Linear Algebra and its Applications"

DOI: 10.1016/j.laa.2018.01.038

Abstract: Abstract The signature s ( G ) of a graph G is defined as the difference between its positive inertia index and the negative inertia index. In 2013, H. Ma et al. (2013) [8] conjectured… read more here.

Keywords: power graphs; graph; signature power; signature ... See more keywords
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On connectedness of power graphs of finite groups

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recommendations! Published in 2017 at "Journal of Algebra and Its Applications"

DOI: 10.1142/s0219498818501840

Abstract: The power graph of a group G is the graph whose vertex set is G and two distinct vertices are adjacent if one is a power of the other. This paper investigates the minimal separating… read more here.

Keywords: finite groups; power graphs; power; graphs finite ... See more keywords
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Power graphs and exchange property for resolving sets

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recommendations! Published in 2019 at "Open Mathematics"

DOI: 10.1515/math-2019-0093

Abstract: Abstract Classical applications of resolving sets and metric dimension can be observed in robot navigation, networking and pharmacy. In the present article, a formula for computing the metric dimension of a simple graph wihtout singleton… read more here.

Keywords: power graphs; exchange property; exchange; resolving sets ... See more keywords
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Power Graphs of Finite Groups Determined by Hosoya Properties

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recommendations! Published in 2022 at "Entropy"

DOI: 10.3390/e24020213

Abstract: Suppose G is a finite group. The power graph represented by P(G) of G is a graph, whose node set is G, and two different elements are adjacent if and only if one is an… read more here.

Keywords: index; hosoya; determined hosoya; power ... See more keywords