Results 41 to 50 of about 30,352 (163)

ON THE PRIME GRAPH OF SIMPLE GROUPS [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2014
AbstractLet $G$ be a finite group, let ${\it\pi}(G)$ be the set of prime divisors of $|G|$ and let ${\rm\Gamma}(G)$ be the prime graph of $G$. This graph has vertex set ${\it\pi}(G)$, and two vertices $r$ and $s$ are adjacent if and only if $G$ contains an element of order $rs$.
Burness, Tim C, Covato, Elisa
openaire   +3 more sources

On 7-valent symmetric graphs of order 2pq and 11-valent symmetric graphs of order 4pq

open access: yesOpen Mathematics, 2022
A graph is said to be symmetric if its automorphism group is transitive on its arcs. This article is one of a series of articles devoted to characterizing prime-valent arc-transitive graphs of square-free order or twice square-free order. In this article,
Ling Bo, Lan Ting, Ding Suyun
doaj   +1 more source

On the Graph Isomorphism Completeness of Directed and Multidirected Graphs

open access: yesMathematics
The category of directed graphs is isomorphic to a particular category whose objects are labeled undirected bipartite graphs and whose morphisms are undirected graph morphisms that respect the labeling. Based on this isomorphism, we begin by showing that
Sebastian Pardo-Guerra   +2 more
doaj   +1 more source

A Numerical Study on the Regularity of d-Primes via Informational Entropy and Visibility Algorithms

open access: yesComplexity, 2020
Let a d-prime be a positive integer number with d divisors. From this definition, the usual prime numbers correspond to the particular case d=2. Here, the seemingly random sequence of gaps between consecutive d-primes is numerically investigated.
B. L. Mayer, L. H. A. Monteiro
doaj   +1 more source

A construction of small regular bipartite graphs of girth 8 [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2009
Let q be a prime a power and k an integer such that 3 ≤ k ≤ q. In this paper we present a method using Latin squares to construct adjacency matrices of k-regular bipartite graphs of girth 8 on 2(kq2 -- q) vertices.
Camino Balbuena
doaj   +1 more source

Prime Cordial Graphs

open access: yes, 2017
Let be a graph. A prime cordial labeling of with vertex set is a bijection from to such that if each edge is assigned the label when gcd and otherwise, then the difference between the number of edges labeled with and the number of edges labeled with is at most . A graph which admits prime cordial labeling is called a prime cordial graph. In
M. Bhuvaneshwari   +2 more
openaire   +1 more source

PRIME LABELING OF AMALGAMATION OF FLOWER GRAPHS

open access: yesBarekeng
Graph labeling is the assigning of labels represented by integers or symbols to graph elements, edges and/or vertices (or both) of a graph. Consider a simple graph  with a vertex-set  and an edge-set .
Desi Rahmadani   +4 more
doaj   +1 more source

Pelabelan Prima pada Kelas Graf Hasil Operasi Perkalian Tensor

open access: yesJambura Journal of Mathematics
A graph  with a vertex set   is said to be a prime graph if there exists a bijective mapping , where  denotes the number of vertices in , such that for any two adjacent vertices  and  in  have . Tensor Product graph is a way to combine (compose)
Suci Triwahyuniti, Desi Rahmadani
doaj   +1 more source

Prime Factorization And Domination In The Hierarchical Product Of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2017
In 2009, Barrière, Dalfó, Fiol, and Mitjana introduced the generalized hierarchical product of graphs. This operation is a generalization of the Cartesian product of graphs.
Anderson S.E.   +3 more
doaj   +1 more source

Effective Conversion of Non-Prime Graphs to Prime Graphs

open access: yesInternational Journal of Analysis and Applications
A graph G is considered to have a prime labeling when each of its n vertices is assigned a unique label from the set {1, 2, 3, 4, ..., n}, ensuring that the labels of any two connected vertices are coprime. In the literature, many graph classes identified as prime graphs and non-prime graphs.
Karnam Gurunadhan Tharunraj   +1 more
openaire   +1 more source

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