On intriguing sets in five classes of strongly regular graphs
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DOI: 10.1002/jcd.21832
Abstract: In this paper, we construct intriguing sets in five classes of strongly regular graphs defined on nonisotropic points of finite classical polar spaces, and determine their intersection numbers. read more here.
Keywords: strongly regular; five classes; classes strongly; sets five ... See more keywords
A Note on Directed Strongly Regular Graphs
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DOI: 10.1007/s00373-016-1750-7
Abstract: Duval, in (J Comb Theory Ser 47:71–100, 1988), introduced the concept of directed strongly regular graphs. In this paper we construct rich families of directed strongly regular graphs with new parameters. Our constructions yielding new… read more here.
Keywords: directed strongly; regular graphs; strongly regular; note directed ... See more keywords
On the Integrability of Strongly Regular Graphs
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DOI: 10.1007/s00373-019-02032-3
Abstract: Koolen et al. showed that if a connected graph with smallest eigenvalue at least $$-3$$-3 has large minimal valency, then it is 2-integrable. In this paper, we will prove that a lower bound for the… read more here.
Keywords: regular graphs; strongly regular; graphs; integrability strongly ... See more keywords
Equisizable partial sum families
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DOI: 10.1007/s10801-019-00875-w
Abstract: We introduce a special kind of partial sum families, which we call equisizable partial sum families, that can be used to obtain directed strongly regular graphs admitting a semiregular group of automorphisms. We give a… read more here.
Keywords: directed strongly; strongly regular; sum families; equisizable partial ... See more keywords
Strongly regular graphs from reducible cyclic codes
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DOI: 10.1007/s10801-020-01006-6
Abstract: Let p be a prime number. Reducible cyclic codes of rank 2 over $$\mathbb {Z}_{p^m}$$ Z p m are shown to have exactly two Hamming weights in some cases. Their weight distribution is computed explicitly.… read more here.
Keywords: reducible cyclic; cyclic codes; strongly regular; graphs ... See more keywords
Continuous-time quantum walks on strongly regular graphs with loops and its application to spatial search for multiple marked vertices
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DOI: 10.1007/s11128-019-2250-5
Abstract: The continuous-time quantum walk (CTQW) on the strongly regular graph is studied in this paper, and the exact transition probability distribution between any two vertices of the graph is provided by using the method of… read more here.
Keywords: search; spatial search; ctqw; strongly regular ... See more keywords
On stable range one property and strongly $$\pi $$ π -regular rings
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DOI: 10.1007/s13370-020-00779-0
Abstract: In this paper, we study a rings with stable range one property, strongly $$\pi $$ π -regular rings and rings satisfying $$\pi $$ π -regular one stable range property. We study those properties in commutative… read more here.
Keywords: one property; strongly regular; property strongly; stable range ... See more keywords
Strongly regular relations of arithmetic functions
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DOI: 10.1016/j.jnt.2017.11.006
Abstract: Abstract A simple, but very useful concept in number theory is that of an arithmetic function. On the other hand, hyperstructure theory, first introduced by Marty, is a generalization of group theory and it is… read more here.
Keywords: arithmetic functions; theory; strongly regular; regular relations ... See more keywords
Bases of Leavitt path algebras with only strongly regular elements
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DOI: 10.1080/00927872.2018.1552283
Abstract: Abstract Recent articles consider invertible and locally invertible algebras (respectively, those having a basis consisting solely of invertible or solely of strongly regular elements). Previous contributions to the subject include the study of when Leavitt… read more here.
Keywords: path algebras; leavitt path; strongly regular; bases leavitt ... See more keywords
Mod-retractable strongly π-regular rings and group algebras
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DOI: 10.1080/00927872.2020.1737871
Abstract: Abstract In this work, we show that a two-sided mod-retractable and strongly π-regular ring is two-sided semiartinian. On the other hand, a strongly π-regular von Neumann regular ring is left mod-retractable if and only if… read more here.
Keywords: retractable strongly; group algebras; strongly regular; algebras mod ... See more keywords
ON A THEOREM OF ANDERSON AND CHUN
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DOI: 10.1216/rmj.2023.53.1
Abstract: A BSTRACT . A commutative ring R is called strongly regular associate if, for any a , b ∈ R , Ra = Rb implies that a = rb and sa = b for some… read more here.
Keywords: anderson chun; strongly regular; ring; regular associate ... See more keywords