Results 21 to 30 of about 8,162 (190)
Maximum nullity and zero forcing of circulant graphs
Special Matrices, 2020 The zero forcing number of a graph has been applied to communication complexity, electrical power grid monitoring, and some inverse eigenvalue problems.
Duong Linh +4 more
doaj +1 more source
The Dataset for Optimal Circulant Topologies
Big 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
Parameters of Integral Circulant Graphs and Periodic Quantum Dynamics [PDF]
, 2007 The intention of the paper is to move a step towards a classification of network topologies that exhibit periodic quantum dynamics. We show that the evolution of a quantum system, whose hamiltonian is identical to the adjacency matrix of a circulant ...
Centrum Voor Wiskunde En Informatica +3 more
core +3 more sources
Automorphism Groups of Rational Circulant Graphs [PDF]
The Electronic Journal of Combinatorics, 2012 The paper concerns the automorphism groups of Cayley graphs over cyclic groups which have a rational spectrum (rational circulant graphs for short). With the aid of the techniques of Schur rings it is shown that the problem is equivalent to consider the automorphism groups of orthogonal group block structures of cyclic groups.
Klin, Mikhail, Kovács, István
openaire +3 more sources
Removing Symmetry in Circulant Graphs and Point-Block Incidence Graphs
Mathematics, 2021 An automorphism of a graph is a mapping of the vertices onto themselves such that connections between respective edges are preserved. A vertex v in a graph G is fixed if it is mapped to itself under every automorphism of G. The fixing number of a graph G
Josephine Brooks +5 more
doaj +1 more source
On Hamilton decompositions of infinite circulant graphs [PDF]
, 2017 The natural infinite analogue of a (finite) Hamilton cycle is a two-way-infinite Hamilton path (connected spanning 2-valent subgraph). Although it is known that every connected 2k-valent infinite circulant graph has a two-way-infinite Hamilton path ...
Bryant, Darryn +3 more
core +2 more sources
Resolvability in Subdivision of Circulant Networks Cn1,k
Discrete Dynamics in Nature and Society, 2020 Circulant networks form a very important and widely explored class of graphs due to their interesting and wide-range applications in networking, facility location problems, and their symmetric properties.
Jianxin Wei +3 more
doaj +1 more source
Graphs having no quantum symmetry [PDF]
, 2006 We consider circulant graphs having $p$ vertices, with $p$ prime. To any such graph we associate a certain number $k$, that we call type of the graph. We prove that for $p>>k$ the graph has no quantum symmetry, in the sense that the quantum automorphism ...
Banica, Teodor +2 more
core +4 more sources
On Dispersability of Some Circulant Graphs [PDF]
Journal of Graph Algorithms and Applications, 2022 20 pages, 14 figures, accepted for publication in the Journal of Graph Algorithms and ...
Kainen, Paul C. +2 more
openaire +3 more sources
The hyperbolicity constant of infinite circulant graphs
Open Mathematics, 2017 If X is a geodesic metric space and x1, x2, x3 ∈ X, a geodesic triangle T = {x1, x2, x3} is the union of the three geodesics [x1x2], [x2x3] and [x3x1] in X.
Rodríguez José M., Sigarreta José M.
doaj +1 more source