Results 31 to 40 of about 1,046 (212)
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
IEEE Access, 2020 For a family of optimal two-dimensional circulant networks with an analytical description, two new improved versions of the shortest path search algorithm with a constant complexity estimate are obtained.
Emilia A. Monakhova +2 more
doaj +1 more source
Eternal domination and clique covering
Electronic Journal of Graph Theory and Applications, 2022 We study the relationship between the eternal domination number of a graph and its clique cove-ring number using both large-scale computation and analytic methods. In doing so, we answer two open questions of Klostermeyer and Mynhardt.
Gary MacGillivray +2 more
doaj +1 more source
Incidence and Laplacian matrices of wheel graphs and their inverses
The American Journal of Combinatorics, 2023 It has been an open problem to find the Moore-Penrose inverses of the incidence, Laplacian, and signless Laplacian matrices of families of graphs except trees and unicyclic graphs.
Jerad Ipsen, Sudipta Mallik
doaj +1 more source
Layout of random circulant graphs [PDF]
Linear Algebra and its Applications, 2018 A circulant graph H is defined on the set of vertices V=\left\{ 1,\ldots,n\right\} and edges E=\left\{ \left(i,j\right):\left|i-j\right|\equiv s\left(\textrm{mod}n\right),s\in S\right\} , where S\subseteq\left\{ 1,\ldots,\lceil\frac{n-1}{2}\rceil\right\} . A random circulant graph results from deleting edges of H with probability 1-p.
Sebastian Richter, Israel Rocha
openaire +3 more sources
On 4-valent Frobenius circulant graphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 Graph ...
Sanming Zhou
doaj +1 more source
Constructing Independent Spanning Trees on Generalized Recursive Circulant Graphs
IEEE Access, 2021 The generalized recursive circulant networking can be widely used in the design and implementation of interconnection networks. It consists of a series of processors, each is connected through bidirectional, point-to-point communication channels to ...
Dun-Wei Cheng +2 more
doaj +1 more source
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 the Metric Index of Circulant Networks–An Algorithmic Approach
IEEE Access, 2019 A vertex v of a graph G uniquely determines (resolves) a pair (v1, v2) of vertices of G if the distance between v and v1 is different from the distance between v and v2.
Imran Khalid +2 more
doaj +1 more source