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
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
Directed Strongly Regular Cayley Graphs over Metacyclic Groups of Order 4n
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DOI: 10.3390/math7111011
Abstract: We construct several new families of directed strongly regular Cayley graphs (DSRCGs) over the metacyclic group M 4 n = ⟨ a , b | a n = b 4 = 1 , b −… read more here.
Keywords: directed strongly; strongly regular; regular cayley; cayley graphs ... See more keywords