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Partitions of sets of two-fold triple systems, and their relation to some strongly regular graphs

Graphs and Combinatorics, 1995
A 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 Street
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Strongly transitive geometric spaces on hypergroups from strongly U-regular relations

Journal of Algebra and Its Applications, 2021
In this paper, we determine a family [Formula: see text] of subsets of a hypergroup [Formula: see text] such that the geometric space [Formula: see text] is strongly transitive. We show that if [Formula: see text] is a hypergroup and [Formula: see text] is strongly regular relation then [Formula: see text] is an equivalence relation.
M. Shirvani, S. Mirvakili, B. Davvaz
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Regular and strongly regular relations on soft hyperrings

Soft Computing, 2019
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S. Ostadhadi-Dehkordi, K. P. Shum
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Strongly regular relations of arithmetic functions

Journal of Number Theory, 2018
In 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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Rings derived from strongly $$\mathcal {U}$$ U -regular relations

Boletín de la Sociedad Matemática Mexicana, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mirvakili, S., Anvariyeh, S. M., Davvaz, B.   +2 more
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(Fuzzy) strongly regular equivalence relations on semihypergroups

Journal of Intelligent & Fuzzy Systems, 2017
In this paper, we study the least strongly regular equivalence relation containing a given binary relation on a semihypergroup. Also, we discuss the least fuzzy strongly regular equivalence relation greater than or equal to a given fuzzy relation on a semihypergroup.
Gu, Ze, Tang, Xilin
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Good strongly regular relations on weak \(\Gamma\)-(semi)hypergroups

2017
Summary: 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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Strongly Regular J-Inner Matrix Functions and Related Problems

2004
A 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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