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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

Edge-Transitive Lexicographic and Cartesian Products

open access: yesDiscussiones Mathematicae Graph Theory, 2016
In this note connected, edge-transitive lexicographic and Cartesian products are characterized. For the lexicographic product G ◦ H of a connected graph G that is not complete by a graph H, we show that it is edge-transitive if and only if G is edge ...
Imrich Wilfried   +3 more
doaj   +4 more sources

The majority coloring of the join and Cartesian product of some digraph [PDF]

open access: yesMATEC Web of Conferences, 2022
A majority coloring of a digraph is a vertex coloring such that for every vertex, the number of vertices with the same color in the out-neighborhood does not exceed half of its out-degree.
Shi Mei   +3 more
doaj   +1 more source

Product of Two Fuzzy Normed Spaces and its Completion [PDF]

open access: yesEngineering and Technology Journal, 2012
The aim of this paper is to prove that the Cartesian product of two complete fuzzy normed space is again a complete fuzzy normed space. Also to prove that the Cartesian product of two complete fuzzy inner product spaces is a complete fuzzy inner product ...
Raghad Ibrahem.Sabre
doaj   +1 more source

The Diagnosability of the Generalized Cartesian Product of Networks

open access: yesMathematics, 2023
Motivated by two typical ways to construct multiprocessor systems, matching composition networks and cycle composition networks, we generalize the definition of the Cartesian product of networks and consider the classical diagnosability of the ...
Meirun Chen, Cheng-Kuan Lin
doaj   +1 more source

Fuzzy Bigroup from another Viewpoint

open access: yesFountain Journal of Natural and Applied Sciences (FUJNAS), 2016
In group theory, given two groups G and H, it is possible to construct a new group from the Cartesian product of G and H, G × H. With this as a motivation, we replicate this concept in fuzzy group algebra.
L. S. Akinola   +4 more
doaj   +3 more sources

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

On Some Results in Fuzzy Length Space

open access: yesAl-Mustansiriyah Journal of Science, 2020
In this paper, depending on the notion of fuzzy length space we define the Cartesian product of two fuzzy length spaces. we proved that the Cartesian product of two fuzzy length spaces is a fuzzy length space.
Raghad I. Sabri   +2 more
doaj   +1 more source

Completeness of the Cartesian Product of Two Complete Fuzzy Normed Spaces [PDF]

open access: yesEngineering and Technology Journal, 2013
In this paper it was proved that the Cartesian product of two fuzzy normed spaces is a fuzzy normed space then it was proved that the Cartesian product of two complete fuzzy normed spaces is again a complete fuzzy normed space.
Jehad R. Kider
doaj   +1 more source

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