On the structure of isoclinism classes of the non-commuting graphs
Sign Up to like & getrecommendations! Published in 2018 at "Afrika Matematika"
DOI: 10.1007/s13370-018-0544-x
Abstract: In this paper, we introduce the new concept isoclinism of two non-commuting graphs. We describe it with this hope to determine the properties of the graph with large number of vertices and edges more easier… read more here.
Keywords: commuting graphs; isoclinism two; class; isoclinism ... See more keywords
Commuting graphs of groups and related numerical parameters
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DOI: 10.1080/00927872.2016.1236117
Abstract: ABSTRACT Given a finite group G, we denote by Δ(G) the commuting graph of G which is defined as follows: the vertex set is G and two distinct vertices x and y are joined by… read more here.
Keywords: graphs groups; commuting graphs; groups related; group ... See more keywords
Certain Topological Indices of Non-Commuting Graphs for Finite Non-Abelian Groups
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DOI: 10.3390/molecules27186053
Abstract: A topological index is a number derived from a molecular structure (i.e., a graph) that represents the fundamental structural characteristics of a suggested molecule. Various topological indices, including the atom-bond connectivity index, the geometric–arithmetic index,… read more here.
Keywords: index; graphs finite; commuting graphs; topological indices ... See more keywords
Properties of Commuting Graphs over Semidihedral Groups
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DOI: 10.3390/sym13010103
Abstract: This paper considers commuting graphs over the semidihedral group SD8n. We compute their eigenvalues and obtain that these commuting graphs are not hyperenergetic for odd n≥15 or even n≥2. We further compute the Laplacian spectrum,… read more here.
Keywords: commuting graphs; properties commuting; semidihedral groups; graphs semidihedral ... See more keywords
On the Topological Indices of Commuting Graphs for Finite Non-Abelian Groups
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14061266
Abstract: A topological index is a number generated from a molecular structure (i.e., a graph) that indicates the essential structural properties of the proposed molecule. Indeed, it is an algebraic quantity connected with the chemical structure… read more here.
Keywords: index; graphs finite; commuting graphs; topological indices ... See more keywords