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
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DOI：
10.1007/s00373-013-1364-2
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发表时间：
2011-02
影响因子：
0.7
通讯作者：
Oktay Olmez;Sung Y. Song
中科院分区：
文献类型：
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作者：
Oktay Olmez;Sung Y. Song
我们通过直接构造提出了许多新的有向强正则图。我们在某些有限关联结构的反标志集合上构建这些图。通过这种方式，我们确认了之前未确定的无限多个参数集的可行性。我们描述了一些图的示例及其同构类，以证明我们的构造方法能够生成许多具有相同参数的图。
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.