Results 181 to 190 of about 975,970 (227)

Location in circulant graphs

open access: yes, 2017
Ville Junnila   +2 more
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Generalized Recursive Circulant Graphs

IEEE Transactions on Parallel and Distributed Systems, 2012
In this paper, we propose a new class of graphs called generalized recursive circulant graphs which is an extension of recursive circulant graphs. While retaining attractive properties of recursive circulant graphs, the new class of graphs achieve more flexibility in varying the number of vertices. Some network properties of recursive circulant graphs,
null Shyue-Ming Tang   +2 more
openaire   +3 more sources

Integral mixed circulant graphs

open access: yesDiscrete Mathematics, 2023
A mixed graph is said to be \textit{integral} if all the eigenvalues of its Hermitian adjacency matrix are integer. The \textit{mixed circulant graph} $Circ(\mathbb{Z}_n,\mathcal{C})$ is a mixed graph on the vertex set $\mathbb{Z}_n$ and edge set $\{ (a,b): b-a\in \mathcal{C} \}$, where $0\not\in \mathcal{C}$.
Monu Kadyan, B. Bhattacharjya
semanticscholar   +4 more sources

Symmetry Parameters of Two-Generator Circulant Graphs

Annals of Combinatorics, 2023
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 ...
S. Cockburn, Sarah Loeb
semanticscholar   +1 more source

Some properties of the circulant graphs

Conference on Mathematical and Statistical Physics, Computational Science, Education, and Communication, 2023
In this article, we compute the diameter and Wiener index of circulant graphs. We derive a formula for the Wiener index of these graphs, which is given by two forms, depending on the integer l.
Manal Al-Labadi   +2 more
semanticscholar   +1 more source

Spectral statistics of interpolating random circulant matrix and its applications to random circulant graphs.

Physical Review E, 2023
We consider a versatile matrix model of the form A+iB, where A and B are real random circulant matrices with independent but, in general, nonidentically distributed Gaussian entries.
Sunidhi Sen   +2 more
semanticscholar   +1 more source

Star Extremal Circulant Graphs

SIAM Journal on Discrete Mathematics, 1999
A graph is said to be star extremal if its fractional chromatic number is equal to its circular chromatic number. In this paper, it is proven that some families of circulant graphs are star extremal. The results generalize some earlier results obtained by \textit{A. F. Sidorenko} [Discrete Math.
Lih, Ko-Wei   +2 more
openaire   +1 more source

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