Web30 de out. de 2024 · The directed power graph \vec { {\mathcal {G}}} (S) of a semigroup S is a directed graph with the set S of vertices and with all edges ( u , v) such that u\ne v … Web1 de abr. de 2024 · In [26, 27], the authors exhibited that the Sombor index can be an integer in several graph structures. In monogenic semigroup graphs, it is seen that it is not possible for the Sombor index to ...
Some properties on the lexicographic product of graphs obtained …
WebKeywords: finite groups; direct product; power graphs; product of graphs; isomorphism. AMS Subject Classifications: 05C25 1 Introduction The directed power graph of a semigroup was defined by Kelarev and Quinn [6]. Then Chakraborty et. al [3] defined the undirected power graph P(S) of a semigroup S as the graph with vertex set S Web11 de fev. de 2013 · Theorem 1 For any monogenic semigroup S M as given in (1), the diameter of the graph Γ (S M) is 2. Proof It is clear that the vertex x of Γ ( S M ) is … eli thomas obit
Sombor Index over the Tensor and Cartesian Products of Monogenic …
Web1 de dez. de 2013 · In previous studies, The Cartesian product, the lexicographic product, the strong product, the disjunctive product and the corona product of monogenic … Web24 de nov. de 2024 · The cyclic graph of a semigroup S is the simple graph whose vertex set is S and two distinct elements x and y are adjacent if \langle x, y \rangle is a monogenic subsemigroup of S. Afkhami et al. [ 2] studied graph-theoretic properties of the cyclic graph on a finite semigroup including its domination number, independence number, and genus. Web25 de jul. de 2024 · Sandeep Dalal, Jitender Kumar, Siddharth Singh. The enhanced power graph of a semigroup is a simple graph whose vertex set is and two vertices are … eli thomas hutchinson