Results 31 to 40 of about 590,064 (163)
Routing in triple loop circulants: A case of networks-on-chip
Heliyon, 2020 In this paper we propose and analyze various approaches to organizing routing in a triple loop circulant topologies as applied to networks-on-chip: static routing based on universal graph search algorithms, such as Dijkstra's algorithm and a possible ...
Aleksandr Yu. Romanov +1 more
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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
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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
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On circulant chromatic number and circulant chromatic function [PDF]
, 2001 A new concept of circulant chromatic function of a graph is introduced to generalize the concept of chromatic polynomial of a graph. This is similar to the generalization from the concept of chromatic number to the concept of circulant chromatic number ...
Zhixiong Wang +3 more
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The eigenvalues and energy of integral circulant graphs [PDF]
Transactions on Combinatorics, 2012 A graph is called textit{circulant} if it is a Cayley graph on acyclic group, i.e. its adjacency matrix is circulant. Let $D$ be aset of positive, proper divisors of the integer $n>1$.
Mohsen Mollahajiaghaei
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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
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Circulant covers of trivalent circulants [PDF]
, 2007 Given two graphs G1 and G2, one may ask whether or not G2 is a cover of G1. Feng and Kwak [Typical circulant double coverings of a circulant graph, Discrete Math.
Couperus, Peter
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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
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Some Invariants of Circulant Graphs [PDF]
Symmetry, 2016 Topological indices and polynomials are predicting properties like boiling points, fracture toughness, heat of formation, etc., of different materials, and thus save us from extra experimental burden. In this article we compute many topological indices for the family of circulant graphs.
Mobeen Munir +3 more
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The irregularity strength of circulant graphs
Discrete Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baril, Jean-Luc +2 more
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