Results 21 to 30 of about 33,385 (288)

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   +2 more sources

Prime Labelings of Snake Graphs

open access: yesThe PUMP Journal of Undergraduate Research, 2019
A prime labeling of a graph G with n vertices is a labeling of the vertices with distinct integers from the set {1, 2 ,..., n} such that the labels of any two adjacent vertices are relatively prime.
Turley, Jordan   +4 more
core   +3 more sources

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   +2 more sources

Prime Graphs with Almost True Twin Vertices

open access: yesMathematics
A graph G consists of a possibly infinite set V(G) of vertices with a collection E(G) of unordered pairs of distinct vertices, called the set of edges of G. Such a graph is denoted by (V(G),E(G)).
Aymen Ben Amira, Moncef Bouaziz
doaj   +2 more sources

Symmetric Bipartite Graphs of Prime Valency

open access: yesEuropean Journal of Combinatorics, 1990
The structure of a group which acts symmetrically on a bipartite graph of prime valency is described in terms of simple groups.
Lorimer, Peter
core   +2 more sources

On prime labeling of union of tadpole graphs [PDF]

open access: yes, 2022
summary:A graph $G$ of order $n$ is said to be a prime graph if its vertices can be labeled with the first $n$ positive integers in such a way that the labels of any two adjacent vertices in $G$ are relatively prime. If such a labeling on $G$ exists then
Patel, Sanjaykumar K., Vasava, Jayesh B.
core   +1 more source

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

Prime orientable graphs

open access: yesDiscrete Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

A study on the number of edges of some families of graphs and generalized Mersenne numbers

open access: yesRatio Mathematica, 2022
The relationship between the Nandu sequence of the SM family of graphs and the Generalized Mersenne numbers is demonstrated in this study. Nandu sequences are related to the two families of SM sum graphs and SM Balancing graphs.
K.G. Sreekumar   +3 more
doaj   +1 more source

Recognition by degree prime-power graph and order of some characteristically simple groups [PDF]

open access: yesAUT Journal of Mathematics and Computing, 2021
In this paper, by the order of a group and triviality of $O_p(G)$ for some prime $p$, we give a new characterization for some characteristically simple groups. In fact, we prove that if {$p \in \{5, 17, 23, 37, 47, 73\}$ and $n \leqslant p$, where $n$ is
Afsane Bahri   +2 more
doaj   +1 more source

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