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Cartesian product of hypergraphs: properties and algorithms [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2009
Cartesian products of graphs have been studied extensively since the 1960s. They make it possible to decrease the algorithmic complexity of problems by using the factorization of the product.
Alain Bretto   +2 more
doaj   +6 more sources

The generalized 3-connectivity of Cartesian product graphs [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2012
Graph ...
Hengzhe Li, Xueliang Li, Yuefang Sun
doaj   +6 more sources

Operations on Neutrosophic Vague Soft Graphs [PDF]

open access: yesNeutrosophic Sets and Systems, 2022
This article concerns with the neutrosophic vague soft graphs for treating neutrosophic vague soft information by employing the theory of neutrosophic vague soft sets with graphs.
S. Satham Hussain   +3 more
doaj   +1 more source

On the power domination number of the Cartesian product of graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2019
We give a brief survey about the existing results on the power domination of the Cartesian product of graphs, and improve two of the results by determining the exact power domination numbers of two families of graphs, namely, the cylinder Pn□Cmand the ...
K.M. Koh, K.W. Soh
doaj   +2 more sources

Operations on Neutrosophic Vague Graphs [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
Neutrosophic graph is a mathematical tool to hold with imprecise and unspecified data. In this manuscript, the operations on neutrosophic vague graphs are introduced. Moreover, Cartesian product, lexicographic product, cross product, strong product and
S. Satham Hussain   +3 more
doaj   +1 more source

An improvement in the two-packing bound related to Vizing's conjecture

open access: yesTheory and Applications of Graphs, 2020
Vizing's conjecture states that the domination number of the Cartesian product of graphs is at least the product of the domination numbers of the two factor graphs.
Kimber Wolff
doaj   +1 more source

On the first and second Zagreb indices of some products of signed graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2023
Some of the most comprehensively studied degree-based topological indices are the Zagreb indices. In this article, the pair of Zagreb indices have been determined for five product graphs namely tensor product, Cartesian product, lexicographic product ...
Shivani Rai, Biswajit Deb
doaj   +1 more source

Various Product on Multi Fuzzy Graphs

open access: yesRatio Mathematica, 2022
In this paper, the definition of complement of multi fuzzy graph, direct sum of two multi fuzzy graphs are given and derived some theorems related to them.
R Muthuraj, K Krithika, S Revathi
doaj   +1 more source

Geodesic bipancyclicity of the Cartesian product of graphs

open access: yesTheory and Applications of Graphs, 2022
A cycle containing a shortest path between two vertices $u$ and $v$ in a graph $G$ is called a $(u,v)$-geodesic cycle. A connected graph $G$ is geodesic 2-bipancyclic, if every pair of vertices $u,v$ of it is contained in a $(u,v)$-geodesic cycle of ...
Amruta Shinde, Y.M. Borse
doaj   +1 more source

Formulas for the Number of Weak Homomorphisms from Paths to Ladder Graphs and Stacked Prism Graphs

open access: yesJournal of Mathematics, 2023
Let G and H be graphs. A mapping f from VG to VH is called a weak homomorphism from G to H if fx=fy or fx,fy∈EH whenever x,y∈EG. A ladder graph is the Cartesian product of two paths, where one of the paths has only one edge.
Hatairat Yingtaweesittikul   +2 more
doaj   +1 more source

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