Results 31 to 40 of about 2,976 (243)

Odd Prime Labeling For Some Arrow Related Graphs

open access: yesRatio Mathematica, 2023
In a graph G a mapping g is known as odd prime labeling , if g is a bijection from V to f1; 3; 5; ::::; 2jVj - 1g satisfying the condition that for each line xy in G the gcd of the labels of end points (g(x); g(y)) is one.
Gajalakshmi G, Meena S
doaj   +1 more source

Some New Odd prime Graphs

open access: yesRatio Mathematica, 2023
For a graph G, a bijection f is called an odd prime labeling , if f from V to f1; 3; 5; ::::; 2jV j - 1g for each edge uv in G the greatest common divisor of the labels of end vertices (f(u); f(v)) is one.
Meena S, Gajalakshmiy G
doaj   +1 more source

Characterization of some alternating groups by order and largest element order [PDF]

open access: yesAUT Journal of Mathematics and Computing, 2022
The prime graph (or Gruenberg-Kegel graph) of a finite group is a well-known graph. In this paper, first, we investigate the structure of the finite groups with a non-complete prime graph.
Ali Mahmoudifar, Ayoub Gharibkhajeh
doaj   +1 more source

Relatively Prime Detour Domination Number of Some Switching Graphs

open access: yesRatio Mathematica, 2023
In this paper, we introduce the concept of relatively prime detour domination number for switching graph. If a set S ⊆ V is a detour set, a dominating set with at least two elements, and has (deg(u), deg(v)) = 1 for each pair of vertices u and v, then it
C Jayasekaran, L. G. Binoja
doaj   +1 more source

Prime power and prime product distance graphs [PDF]

open access: yesDiscrete Applied Mathematics, 2019
A graph $G$ is a $k$-prime product distance graph if its vertices can be labeled with distinct integers such that for any two adjacent vertices, the difference of their labels is the product of at most $k$ primes. A graph has prime product number $ppn(G)=k$ if it is a $k$-prime product graph but not a $(k-1)$-prime product graph.
Yumi Kaneda   +3 more
openaire   +3 more sources

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 Minimal Prime Graphs and Posets [PDF]

open access: yesOrder, 2009
We show that there are four infinite prime graphs such that every infinite prime graph with no infinite clique embeds one of these graphs. We derive a similar result for infinite prime posets with no infinite chain or no infinite antichain.
Pouzet, Maurice, Zaguia, Imed
openaire   +2 more sources

Minimal unavoidable sets of cycles in plane graphs [PDF]

open access: yesOpuscula Mathematica, 2018
A set \(S\) of cycles is minimal unavoidable in a graph family \(\cal{G}\) if each graph \(G \in \cal{G}\) contains a cycle from \(S\) and, for each proper subset \(S^{\prime}\subset S\), there exists an infinite subfamily \(\cal{G}^{\prime}\subseteq\cal{
Tomáš Madaras, Martina Tamášová
doaj   +1 more source

Graph coloring using commuting order product prime graph [PDF]

open access: yes, 2020
The concept of graph coloring has become a very active field of research that enhances many practical applications and theoretical challenges. Various methods have been applied in carrying out this study. Let G be a finite group.
Bello, Muhammed   +2 more
core   +1 more source

Prime orientable graphs

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

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