Results 261 to 270 of about 105,061,129 (288)
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Strongly regular relations of arithmetic functions
Journal of Number Theory, 2018In this paper, the authors present a link between the theories of algebraic structures, hyperstructures and arithmetic functions and study the concepts of complete parts and strongly regular relations. Also, they present hyperstructures of arithmetic functions and determine their fundamental groups and fundamental rings. More precisely, they prove that
Al Tahan, M., Davvaz, B.
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Good strongly regular relations on weak \(\Gamma\)-(semi)hypergroups
2017Summary: In this paper first we introduce the notion of weak \(\Gamma\)-(semi)hypergroups, next some classes of equivalence relations which are called good regular and strongly good regular relations are defined. Then we investigate some properties of this kind of relations on weak \(\Gamma\)-(semi)hypergroups.
Jafarpour, M., Aghabozorgi, H., Zare, T.
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Partitions of sets of two-fold triple systems, and their relation to some strongly regular graphs
Graphs and Combinatorics, 1995A two-fold triple system (TTS) is a 2-\((v,k,2)\) design (and hence \(v \equiv 1\) or \(3 \pmod 6\)). An overlarge set of TTS, denoted by \(\text{OS(TTS} (v))\) is a set of \(v + 1\) mutually disjoint \(\text{TTS} (v)\) (i.e. they have no triple in common), each of them based on a different \(v\)-subset of a set \(X\) of cardinality \(v + 1\).
Rudolf Mathon, Anne Penfold Street
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A Class of Strongly Regular Graphs Related to Orthogonal Groups
1983Publisher Summary This chapter describes a class of regular graphs related to PO 2n+l (q). If q is odd, the vertices of the graphs may be seen as a set of points off a quadric in PG(2n,q). It has been noticed that regular graphs of the same kind occur in symplectic spaces over GF(2 r ). The chapter presents a unified description of those graphs for a
Hubaut, Xavier, Metz, Rudolf
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Strongly Regular J-Inner Matrix Functions and Related Problems
2004A number of characterizations of the class of strongly regularDinner matrix-valued functions and descriptions of the corresponding reproducing kernel Hilbert spaces and formulas for the reproducing kernels of these spaces are reviewed. Applications to bitangential interpolation problems, bi-tangential inverse problems for canonical integral and ...
Damir Z. Arov, Dym Harry
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On a strongly regular relation in hypergroupoids
1993Let \(H\) be a hypergroupoid and \(n \in \mathbb{N}^*\). Let \(\gamma\) be a grouping of the indices \(\{1,\dots,n\}\) respecting their order. If \(z_ 1,z_ 2,\dots,z_ n\) are elements of \(H\) we denote by \(\displaystyle\prod^ n_{i=1}{^{(\gamma)} z_ i}\) the product of these elements according to \(\gamma\). Define on \(H\) a relation \(\Delta\) by: \(
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New properties of strongly regular left almost semi-group
Journal of Discrete Mathematical Sciences and Cryptography, 2022Akram S Mohammed
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Strongly Regular Relations Derived From Fundamental Relation AHA 2023
2023Ameri, Reza, Afshar, Behnam
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Block designs and strongly regular graphs related to the group U(3, 4)
2005We show a construction of a two block designs, 2-(65, 15, 21) design and 2-(65, 26, 250) design, Steiner system S(2, 5, 65) and its block graph, two strongly regular graphs (208, 75, 30, 25) and (416, 100, 36, 20) and binary code of length 65 from the unitary group U(3, 4). Those incidence structures are defined on the elements of the conjugacy classes
Rukavina, Sanja +2 more
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On quasi-strongly regular graphs with parameters (n,k,a;k−1,c2)
Discrete Mathematics, 2021Gengsheng Zhang
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