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

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

2011-02-08

arxiv.org/abs/1102.1491v1

Mathematics

Combinatorics

19 pages with several tables

Scientific paper

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

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