Some Families of Directed Strongly Regular Graphs Obtained from Certain Finite Incidence Structures |
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Authors: | Oktay Olmez Sung Y. Song |
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Affiliation: | 1. Department of Mathematics, Iowa State University, Ames, Iowa, 50011, USA
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Abstract: | We present many new directed strongly regular graphs by direct construction. We construct these graphs on the collections of antiflags of certain finite incidence structures. In this way, we confirm the feasibility of infinitely many parameter sets that was previously undetermined. We describe some examples of graphs together with their isomorphism classes to demonstrate the fact that our construction method is capable of producing many graphs with same parameters. |
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