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Prime ideal graphs of commutative rings
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
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Tiling of Prime and Composite Kirchhoff Graphs
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
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Prime Labeling of H- Super Subdivision of Y-tree Related Graphs
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
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Neutrosophic Quadratic Residues and Non-Residues [PDF]
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
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The Metric Dimension and Local Metric Dimension of Relative Prime Graph
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
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A distance measure for large graphs based on prime graphs [PDF]
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Lagraa, Sofiane +4 more
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Extending Undirected Graph Techniques to Directed Graphs via Category Theory
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
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Recognition of prime graphs from a prime subgraph
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Pierre Ille, Roger Villemaire
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Triangle-free graphs which are minimal for some nonstable 4-vertex subset
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
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Orbit polynomial graphs of prime order [PDF]
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
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