Results 11 to 20 of about 2,669,595 (286)

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   +2 more sources

On the hamiltonicity of the cartesian product

open access: yesInformation Processing Letters, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vassilios V Dimakopoulos   +1 more
exaly   +5 more sources

The development of cartesian product operation of product fuzzy graphs and its properties

open access: yesDesimal
The product fuzzy graph is an extension of the fuzzy graph definition by replacing the minimum operation with the product operation. This research is qualitative research with research stages consisting of determining open problems, constructing new ...
Fery Firmansah   +2 more
doaj   +2 more sources

Cartesian product of synchronization transitions and hysteresis [PDF]

open access: yesNew Journal of Physics, 2017
We present theoretical results when applying the Cartesian product of two Kuramoto models on different network topologies. By a detailed mathematical analysis, we prove that the dynamics on the Cartesian product graph can be described by the canonical ...
Changsu Wang   +3 more
doaj   +2 more sources

Cartesian product of intuitionistic fuzzy subgroups [PDF]

open access: yesNotes on IFS
Fuzzy sets have become fundamental tools for addressing uncertainty and ambiguity across a wide range of scientific disciplines. A significant development within fuzzy set theory is the emergence of fuzzy subgroups, which adapt fuzzy set principles to ...
Saman Abdurrahman
doaj   +3 more sources

On primality of Cartesian product of graphs [PDF]

open access: yesArab Journal of Mathematical Sciences
PurposeThe present work focuses on the primality and the Cartesian product of graphs.Design/methodology/approachGiven a graph G, a subset M of V (G) is a module of G if, for a, b ∈ M and x ∈ V (G) \ M, xa ∈ E(G) if and only if xb ∈ E(G).
Nadia El Amri   +2 more
doaj   +3 more sources

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   +3 more sources

MDR codes and self-dual codes on Cartesian product codes

open access: yesTongxin xuebao, 2010
A Cartesian product code of the linear codes C1 , , C s in 1 , ,Z r Z rs was defined. According to the theorem of submodulo isomorphism, the relationship between the rank of the Cartesian product code C1 × C 2 × × Cs over Z r1 × Z r2 × × Zrsand C1 , C 2,
LIU Xiu-sheng
doaj   +3 more sources

Hermite-Hadamard's Inequality and the p-HH-Norm on the Cartesian Product of Two Copies of a Normed Space [PDF]

open access: yes, 2008
The Cartesian product of two copies of a normed space is naturally equipped with the well-known p-norm. In this paper, another notion of norm is introduced, and will be called the p-HH-norm. This norm is an extension of the generalised logarithmic mean
Dragomir, Sever S, Kikianty, Eder
core   +6 more sources

On New Notions of Orthogonality in Normed Spaces via the 2-HH-Norms [PDF]

open access: yes, 2009
Kikianty and Dragomir in 2008 introduced the p-HH-norms on the Cartesian product of two copies of a normed space, which are equivalent to the well-known p-norms. In this paper, notions of orthogonality in terms of 2-HH-norms are introduced.
Dragomir, Sever S, Kikianty, Eder
core   +6 more sources

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