Results 121 to 130 of about 1,046 (212)

Recognizing Recursive Circulant Graphs G(cd m ,d)

open access: yes, 2007
Recursive circulant graphs G(N, d) have been introduced in 1994 by Park and Chwa [PC94] as a new topology for interconnection networks. Recursive circulant graphs G(N, d) are circulant graphs with N nodes and with jumps of powers of d.
Guillaume Fertin, André Raspaud
core  

Routing in circulant graphs based on a virtual coordinate system

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки
This article explores routing methods in two-dimensional circulant graphs where each vertex is linked to four neighboring ones. The unique symmetries of the circulant graph make it a viable topology for high-performance computing devices, such as ...
A. M. Sukhov   +2 more
doaj   +1 more source

Distance spectra and distance energy of integral circulant graphs

open access: yes, 2010
The distance energy of a graph G is a recently developed energy-type invariant, defined as the sum of absolute values of the eigenvalues of the distance matrix of G.
Ilić, Aleksandar
core   +1 more source

New Qubit Codes from Multidimensional Circulant Graphs

open access: yes, 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.
Seekamp, Kerry   +4 more
core  

Symmetry Parameters of Two-Generator Circulant Graphs

open access: yes
The derived graph of a voltage graph consisting of a single vertex and two loops of different voltages is a circulant graph with two generators. We characterize the automorphism groups of connected, two-generator circulant graphs, and give their ...
Cockburn, Sally, Loeb, Sarah
core  

Computation of the Lovasz Theta Function for Circulant Graphs [PDF]

open access: yes, 2003
The Lovasz theta function (G) of a graph G has attracted a lot of attention for its connection with diverse issues, such as communicating without errors and computing large cliques in graphs.
Codenotti, Bruno
core  

Defensive alliances in regular graphs and circulant graphs

open access: yes
In this paper we study defensive alliances in some regular graphs. We determine which subgraphs could a critical defensive alliance of a graph $G$ induce, if $G$ is $6$-regular and the cardinality of the alliance is at most $8$.
Barrière Figueroa, Eulalia   +1 more
core  

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