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Some families of directed strongly regular graphs obtained from certain\n finite incidence structures

2011/02/07 by Oktay Ölmez, Olmez, Oktay, Sung‐Yell Song +1
Biochemistry, Genetics and Molecular Biology · Chemistry · Mathematics · #Chromatin Remodeling and Cancer #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Synthesis of Tetrazole Derivatives

paper · pdf · doi:10.48550/arxiv.1102.1491

openalex publication_date 2011/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This is the second report of our work on the construction of directed\nstrongly regular graphs. In our previous work, we constructed a couple of\ninfinite families of new directed strongly regular graphs on the sets of\nantiflags of partial geometries and group divisible designs. In this paper, we\nuse some collections of antiflags (not the entire set of antiflags) of tactical\nconfigurations to construct another couple of infinite families of directed\nstrongly regular graphs. Our construction methods are capable of producing\nmany, if not all, nonisomorphic directed strongly regular graphs with same\nparameters.\n

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