Results 51 to 60 of about 782,126 (230)

Prime ideal graphs of commutative rings

open access: yesIndonesian Journal of Combinatorics, 2022
Let R be a finite commutative ring with identity and P be a prime ideal of R. The vertex set is R - {0} and two distinct vertices are adjacent if their product in P. This graph is called the prime ideal graph of R and denoted by ΓP.
Haval Mohammed Salih, Asaad A. Jund
doaj   +1 more source

Tiling of Prime and Composite Kirchhoff Graphs

open access: yes, 2022
A Kirchhoff graph is a vector graph with orthogonal cycles and vertex cuts. We present an algorithm that constructs all the Kirchhoff graphs up to a fixed edge multiplicity. We explore the tiling of prime Kirchhoff graphs.
Wang, Jessica
core   +3 more sources

Prime Labeling of H- Super Subdivision of Y-tree Related Graphs

open access: yesRatio Mathematica, 2023
A graph G with p points is called a prime labeling , if it possible to label the points x 2 V with distinct labels f(x) from f1;2; :::; pg in such a way that for each line e = uv gcd (f(u); f(v)) = 1 .
Meena S, Gajalakshmiy G
doaj   +1 more source

Neutrosophic Quadratic Residues and Non-Residues [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
In this paper, we present the Neutrosophic quadratic residues and nonresidues with their basic interpretation as graphs in an algebraic manner and analog to the algebraic graphs.
Chalapathi Tekuri   +2 more
doaj   +1 more source

The Metric Dimension and Local Metric Dimension of Relative Prime Graph

open access: yesCauchy: Jurnal Matematika Murni dan Aplikasi, 2020
This study aims to determine the value of metric dimensions and local metric dimensions of relative prime graphs formed from modulo  integer rings, namely . As a vertex set is  and  if  and  are relatively prime.
Inna Kuswandari   +2 more
doaj   +1 more source

A distance measure for large graphs based on prime graphs [PDF]

open access: yesPattern Recognition, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lagraa, Sofiane   +4 more
openaire   +5 more sources

Extending Undirected Graph Techniques to Directed Graphs via Category Theory

open access: yesMathematics
We use Category Theory to construct a ‘bridge’ relating directed graphs with undirected graphs, such that the notion of direction is preserved. Specifically, we provide an isomorphism between the category of simple directed graphs and a category we call ‘
Sebastian Pardo-Guerra   +4 more
doaj   +1 more source

Recognition of prime graphs from a prime subgraph

open access: yesDiscrete Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pierre Ille, Roger Villemaire
openaire   +4 more sources

Triangle-free graphs which are minimal for some nonstable 4-vertex subset

open access: yesArab Journal of Mathematical Sciences, 2015
In a graph G, a module is a vertex subset M such that every vertex outside M is adjacent to all or none of M. A graph G is prime if ϕ, the single-vertex sets, and V(G) are the only modules in G.
Mohammad Alzohairi
doaj   +1 more source

Orbit polynomial graphs of prime order [PDF]

open access: yes, 1987
We begin with a discussion of orbit polynomial graphs and their relationship with distance-transitive, distance-regular and distance polynomial graphs. After finding a simple classification of the orbit polynomial graphs with a prime number of vertices ...
Beezer, Robert A
core   +1 more source

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