Results 11 to 20 of about 1,945,494 (283)

Strongly walk-regular graphs [PDF]

open access: yesJournal of Combinatorial Theory, Series A, 2013
We study a generalization of strongly regular graphs. We call a graph strongly walk-regular if there is an $\ell >1$ such that the number of walks of length $\ell$ from a vertex to another vertex depends only on whether the two vertices are the same ...
Abreu   +15 more
core   +7 more sources

Strongly regular modules

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2023
Summary: The notion of strongly regular modules over a ring which is not necessarily commutative is introduced. The relation between \(F\)-regular, \(GF\)-regular and \(vn\)-regular modules that are defined over commutative rings and strongly regular module is obtained. We have shown that a remark that if \(R\) is a reduced ring, then the \(R\)-module \
Govindarajulu Narayanan Sudharshana   +1 more
doaj   +2 more sources

Hamiltonian Strongly Regular Graphs [PDF]

open access: yesSSRN Electronic Journal, 2008
We give a sufficient condition for a distance-regular graph to be Hamiltonian. In particular, the Petersen graph is the only connected non-Hamiltonian strongly regular graph on fewer than 99 vertices.Distance-regular graphs;Hamilton cycles JEL ...
Brouwer, A.E., Haemers, W.H.
core   +7 more sources

Finite torsors over strongly $F$-regular singularities [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2022
We investigate finite torsors over big opens of spectra of strongly $F$-regular germs that do not extend to torsors over the whole spectrum. Let $(R,\mathfrak{m},k)$ be a strongly $F$-regular $k$-germ where $k$ is an algebraically closed field of ...
Javier Carvajal-Rojas
doaj   +3 more sources

On Strongly 𝝅-regular Modules

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020
In this article, we introduce the notion of strongly π-regular module which is a generalization of von Neumann regular module in the sense [13]. Let A be a commutative ring with 1≠0 and X a multiplication A-module. X is called a strongly π-regular module
Suat Koç
doaj   +5 more sources

Strongly regular graphs from weakly regular plateaued functions [PDF]

open access: yes2019 Ninth International Workshop on Signal Design and its Applications in Communications (IWSDA), 2018
The paper provides the first constructions of strongly regular graphs and association schemes from weakly regular plateaued functions over finite fields of odd characteristic.
Mesnager, Sihem, Sınak, Ahmet
core   +5 more sources

Homomorphisms of Strongly Regular Graphs [PDF]

open access: yesAlgebraic Combinatorics, 2016
We prove that if $G$ and $H$ are primitive strongly regular graphs with the same parameters and $\varphi$ is a homomorphism from $G$ to $H$, then $\varphi$ is either an isomorphism or a coloring (homomorphism to a complete subgraph).
Roberson, David E.
core   +4 more sources

Strongly Regular Graphs Constructed from $p$-ary Bent Functions [PDF]

open access: yesJournal of Algebraic Combinatorics, 2010
In this paper, we generalize the construction of strongly regular graphs in [Y. Tan et al., Strongly regular graphs associated with ternary bent functions, J. Combin.Theory Ser.
Chee Yin, De Zhang, Tan Xian, Yeow Meng
core   +3 more sources

Strongly regular configurations [PDF]

open access: yesDesigns, Codes and Cryptography, 2022
23 pages, 1 figure.
Marién Abreu   +3 more
openaire   +6 more sources

Relational representations of algebraic lattices and their applications

open access: yesOpen Mathematics, 2022
In this paper, we define the concepts of strongly regular relation, finitely strongly regular relation, and generalized finitely strongly regular relation, and get the relational representations of strongly algebraic, hyperalgebraic, and quasi ...
Luo Shuzhen, Xu Xiaoquan
doaj   +1 more source

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