The Total Graphs of Finite Commutative Semirings
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DOI: 10.1007/s00025-016-0595-y
Abstract: Anderson and Badawi (J Algebra 320(7):2706–2719, 2008) characterized all commutative rings having total graphs without any 3-cycles. In this paper we expand those results to the semiring setting and obtain the characterization of finite commutative… read more here.
Keywords: commutative semirings; total graphs; finite commutative; graphs finite ... See more keywords
On connectedness of power graphs of finite groups
Sign Up to like & getrecommendations! 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
1-Connected character-graphs of finite groups with non-bipartite complement
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498821500584
Abstract: For a finite group G, let Δ(G) be the character-graph which is built on the set of irreducible complex character degrees of G. In this paper, we wish to determine the structure of finite groups… read more here.
Keywords: character graphs; finite groups; connected character; groups non ... See more keywords
Some Metrical Properties of Lattice Graphs of Finite Groups
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DOI: 10.3390/math7050398
Abstract: This paper is concerned with the combinatorial facts of the lattice graphs of Z p 1 × p 2 × ⋯ × p m , Z p 1 m 1 × p 2 m 2… read more here.
Keywords: lattice graphs; properties lattice; finite groups; graphs finite ... 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
On the Topological Indices of Commuting Graphs for Finite Non-Abelian Groups
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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