Results 21 to 30 of about 2,362 (196)
REALIZABILITY PROBLEM FOR COMMUTING GRAPHS [PDF]
Journal of the Australian Mathematical Society, 2016 We investigate properties which ensure that a given finite graph is the commuting graph of a group or semigroup. We show that all graphs on at least two vertices such that no vertex is adjacent to all other vertices is the commuting graph of some semigroup.
Giudici, Michael, Kuzma, Bojan
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Non-commuting graph of the dihedral group determined by Hosoya parameters
Alexandria Engineering Journal, 2022 Hosoya introduced the concept of graph terminologies in chemistry and provide a modeling for molecules. This modeling leads to predict the chemical properties of molecules, easy classification of chemical compounds, computer simulations and computer ...
Muhammad Salman +4 more
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Between the enhanced power graph and the commuting graph
Journal of Graph Theory, 2022 AbstractThe purpose of this note is to define a graph whose vertex set is a finite group , whose edge set is contained in that of the commuting graph of and contains the enhanced power graph of . We call this graph the deep commuting graph of . Two elements of are joined in the deep commuting graph if and only if their inverse images in every central ...
Peter J. Cameron, Bojan Kuzma
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Commuting Conjugacy Class Graph of The Finite $2-$Groups $G_n(m)$ and $G[n]$ [PDF]
Journal of Mahani Mathematical ResearchSuppose $G$ is a finite non-abelian group and $\Gamma(G)$ is a graph with non-central conjugacy classes of $G$ as its vertex set. Two vertices $L$ and $K$ in $\Gamma(G)$ are adjacent if there are $a \in L$ and $b \in K$ such that $ab = ba$.
Mohammad Ali Salahshour +1 more
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The Total Graph of a Commutative Semiring [PDF]
Analele Universitatii "Ovidius" Constanta - Seria Matematica, 2013 Abstract We introduce and investigate the total graph of a commutative semiring with non-zero identity. The main purpose of this paper is to extend the definition and some results given in [2] to a more general semiring case.
Atani Shahabaddin Ebrahimi +1 more
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Urban, Planning and Transport Research, 2022 As contemporary colleges and universities continue to undergo unprecedented growth, more and more students commuting to campus face parking and physical infrastructural connectivity problems.
Emily Schnarre +3 more
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Graphs defined on groups [PDF]
International Journal of Group Theory, 2022 This paper concerns aspects of various graphs whose vertex set is a group $G$ and whose edges reflect group structure in some way (so that, in particular, they are invariant under the action of the automorphism group of $G$).
Peter J. Cameron
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Quantum State Assignment Flows
Entropy, 2023 This paper introduces assignment flows for density matrices as state spaces for representation and analysis of data associated with vertices of an underlying weighted graph.
Jonathan Schwarz +5 more
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The M-principal graph of a commutative ring [PDF]
Periodica Mathematica Hungarica, 2014 This paper has been withdrawn by the author because there are some typos in ...
Mohammad Javad Nikmehr, Farideh Heydari
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Some results on characterization of finite group by non commuting graph [PDF]
Transactions on Combinatorics, 2012 The non commuting graph of a non-abelian finite group $G$ is defined as follows: its vertex set is $G-Z(G)$ and two distinct vertices $x$ and $y$ are joined by an edge if and only if the commutator of $x$ and $y$ is not the identity.
Mohammad Reza Darafsheh +1 more
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