Results 11 to 20 of about 975,970 (227)

On infinite circulant-balanced complete multipartite graphs decompositions based on generalized algorithmic approaches

open access: yesAlexandria Engineering Journal, 2022
Graph theory is a powerful and essential tool for applied scientists and engineers in analyzing and designing algorithms for several problems. Graph theory has a vital role in complex systems, especially in computer sciences. Applications of graph theory
A. El-Mesady   +2 more
doaj   +3 more sources

Resolvability in Subdivision Graph of Circulant Graphs

open access: yesSymmetry, 2023
Circulant networks are a very important and widely studied class of graphs due to their interesting and diverse applications in networking, facility location problems, and their symmetric properties.
Syed Ahtsham ul Haq Bokhary   +5 more
semanticscholar   +2 more sources

The Regularity of Some Families of Circulant Graphs

open access: yesMathematics, 2019
We compute the Castelnuovo−Mumford regularity of the edge ideals of two families of circulant graphs, which includes all cubic circulant graphs.
Miguel Eduardo Uribe-Paczka   +1 more
doaj   +3 more sources

Integral circulant graphs

open access: yesDiscrete Mathematics, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Cohen-Macaulay Circulant Graphs [PDF]

open access: yes, 2012
Let G be the circulant graph C_n(S) with S a subset of {1,2,...,\lfloor n/2 \rfloor}, and let I(G) denote its the edge ideal in the ring R = k[x_1,...,x_n].
Meulen, Kevin N. Vander   +2 more
core   +2 more sources

Maximal diameter of integral circulant graphs [PDF]

open access: yesInformation and Computation, 2023
Integral circulant graphs are proposed as models for quantum spin networks that permit a quantum phenomenon called perfect state transfer. Specifically, it is important to know how far information can potentially be transferred between nodes of the ...
Milan Basic   +2 more
semanticscholar   +1 more source

On Bipartite Circulant Graph Decompositions Based on Cartesian and Tensor Products with Novel Topologies and Deadlock-Free Routing

open access: yesAlgorithms, 2022
Recent developments in commutative algebra, linear algebra, and graph theory allow us to approach various issues in several fields. Circulant graphs now have a wider range of practical uses, including as the foundation for optical networks, discrete ...
Ahmed El-Mesady   +3 more
doaj   +1 more source

New Qubit Codes from Multidimensional Circulant Graphs [PDF]

open access: yesDiscrete Mathematics, 2023
Two new qubit stabilizer codes with parameters $[77, 0, 19]_2$ and $[90, 0, 22]_2$ are constructed for the first time by employing additive symplectic self-dual $\F_4$ codes from multidimensional circulant (MDC) graphs.
P. Seneviratne   +4 more
semanticscholar   +1 more source

Locating and Identifying Codes in Circulant Graphs

open access: yesDiscrete Dynamics in Nature and Society, 2021
Identifying and locating-dominating codes have been studied widely in circulant graphs. Recently, Ville Junnila et al. (Optimal bounds on codes for location in circulant graphs, Cryptography and Communications; 2019) studied identifying and locating ...
Shu Jiao Song, Weiqian Zhang, Can Xu
doaj   +1 more source

The Dataset for Optimal Circulant Topologies

open access: yesBig Data and Cognitive Computing, 2023
This article presents software for the synthesis of circulant graphs and the dataset obtained. An algorithm and new methods, which increase the speed of finding optimal circulant topologies, are proposed.
Aleksandr Romanov
doaj   +1 more source

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