Results 21 to 30 of about 235,976 (317)
On Some Results in Fuzzy Length Space
Al-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
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On products in the coarse shape categories [PDF]
, 2015 The paper is devoted to the study of coarse shape of Cartesian products of topological spaces. If the Cartesian product of two spaces $X$ and $Y$ admits an HPol-expansion, which is the Cartesian product of HPol-expansions of these spaces, then $X\times Y$
Mashayekhy, Behrooz +2 more
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Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 For the generality of fuzzy ideals in TM-algebra, a cubic ideal in this algebra has been studied, such as cubic ideals and cubic T-ideals. Some properties of these ideals are investigated.
Fatima M. Ghlaim, Fatema F. Kareem
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The Cartesian product of hypergraphs [PDF]
Journal of Graph Theory, 2011 AbstractWe show that every simple, (weakly) connected, possibly directed and infinite, hypergraph has a unique prime factor decomposition with respect to the (weak) Cartesian product, even if it has infinitely many factors. This generalizes previous results for graphs and undirected hypergraphs to directed and infinite hypergraphs. The proof adopts the
Marc Hellmuth +2 more
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On very strongly perfect Cartesian product graphs
AIMS Mathematics, 2022 Let $ G_1 \square G_2 $ be the Cartesian product of simple, connected and finite graphs $ G_1 $ and $ G_2 $. We give necessary and sufficient conditions for the Cartesian product of graphs to be very strongly perfect.
Ganesh Gandal +2 more
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On Power Graph of Some Finite Rings [PDF]
Mathematics Interdisciplinary Research, 2023 Consider a ring $R$ with order $p$ or $p^2$, and let $\mathcal{P}(R)$ represent its multiplicative power graph. For two distinct rings $R_1$ and $R_2$ that possess identity element 1, we define a new structure called the unit semi-cartesian ...
Masoumeh Soleimani, Mohamad Hasan Naderi
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Hamilton-connected properties in cartesian product [PDF]
Transactions on Combinatorics, 2012 In this paper, we investigate a problem of finding natural condition to assure the product of two graphs to be hamilton-connected. We present some sufficient and necessary conditions for $GBox H$ being hamilton-connected when $G$ is a hamilton-connected ...
Rushengul Hoshur, Elkin Vumar
doaj
Colouring the Square of the Cartesian Product of Trees [PDF]
, 2010 We prove upper and lower bounds on the chromatic number of the square of the cartesian product of trees.
Wood, David R.
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On the Gonality of Cartesian Products of Graphs [PDF]
The Electronic Journal of Combinatorics, 2020 In this paper we provide the first systematic treatment of Cartesian products of graphs and their divisorial gonality, which is a tropical version of the gonality of an algebraic curve defined in terms of chip-firing. We prove an upper bound on the gonality of the Cartesian product of any two graphs, and determine instances where this bound holds with
Ralph Morrison, Ivan Aidun
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Strong Products of Hypergraphs: Unique Prime Factorization Theorems and Algorithms [PDF]
, 2013 It is well-known that all finite connected graphs have a unique prime factor decomposition (PFD) with respect to the strong graph product which can be computed in polynomial time.
Hellmuth, Marc +2 more
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