Results 11 to 20 of about 54,702 (261)

On Total H-Irregularity Strength of the Disjoint Union of Graphs

open access: yesDiscussiones Mathematicae Graph Theory, 2020
A simple graph G admits an H-covering if every edge in E(G) belongs to at least to one subgraph of G isomorphic to a given graph H. For the subgraph H ⊆ G under a total k-labeling we define the associated H-weight as the sum of labels of all vertices and
Ashraf Faraha   +5 more
doaj   +1 more source

Working with Lowell

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
I have known Lowell Beineke for almost fifty years. Our first joint paper, on edge-colorings of graphs, was initiated in 1971, and since then we have produced further articles and nine books on graph theory, with another two books currently in progress ...
Robin Wilson
doaj   +1 more source

Some Topological Concepts Via Graph Theory

open access: yesTikrit Journal of Pure Science, 2020
Due it is difficult to find applications in topological spaces, which are branches of pure mathematics, the importance of this paper is to find applications in graph theory.
Taha H. Jasim, Aiad I. Awad
doaj   +1 more source

Some Theoretical and Practical Results for Edge Dominating Set [PDF]

open access: yesEngineering and Technology Journal, 2014
One of the most brilliant branches of modern mathematics and computer applications is graph theory. Graph domination problem has become an extremely important research branch of graph theory in recent times.
Nuha A. Rajab
doaj   +1 more source

The STEM Methodology and Graph Theory: Some Practical Examples

open access: yesMathematics, 2021
In this paper, we highlight that Graph Theory is certainly well suited to an applications approach. One of the basic problems that this theory solves is finding the shortest path between two points.
Cristina Jordán   +2 more
doaj   +1 more source

On some applications of graph theory, I

open access: yesDiscrete Mathematics, 1972
In the first and second parts of this sequence we dealt with applications of graph theory to distance distribution in certain sets in euclidean spaces, to potential theory, to estimations of the transfinite diameter [1] and to value distribution of "triangle functional " (e.g. perimeter, area of triangles) [2].
Erdős, Pál   +3 more
openaire   +4 more sources

Quotient Energy of Zero Divisor Graphs And Identity Graphs

open access: yesمجلة بغداد للعلوم, 2023
Consider the (p,q) simple connected graph . The sum absolute values of the spectrum of quotient matrix of a graph  make up the graph's quotient energy.
M. Lalitha Kumari   +2 more
doaj   +1 more source

An Application of Graph Theory to Additive Number Theory

open access: yesEuropean Journal of Combinatorics, 1985
It is proved that, if \({\mathfrak A ...
Noga Alon, Paul Erdös
openaire   +2 more sources

Correction to “An application of graph theory to algebra” [PDF]

open access: yesProceedings of the American Mathematical Society, 1969
PROOF. Let r' be the result of deleting e, e', and X. The theorem holds for r' by induction. Any unicursal path on r' has the form 7172 ... 7r* where each 7ri is a path starting and ending at P but not meeting P between. Clearly n is the number of edges leaving P in r, and so is the same for all paths. Let X be the path ee' from P to P in r. We get all
openaire   +2 more sources

On the Beta-Number of Forests with Isomorphic Components

open access: yesDiscussiones Mathematicae Graph Theory, 2018
The beta-number, β (G), of a graph G is defined to be either the smallest positive integer n for which there exists an injective function f : V (G) → {0, 1, . . .
Ichishima Rikio   +3 more
doaj   +1 more source

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