A switching for all strongly regular collinearity graphs from polar spaces
A switching for all strongly regular collinearity graphs from polar spaces
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从极空间切换所有强规则共线性图
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
F. Ihringer
中科院分区：
文献类型：
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作者：
F. Ihringer
利用q阶有限域上秩至少为3的有限个经典极空间的共线图，给出了强正则图的一般构造。我们证明了这些图与共线性图是不同构的，并且具有相同的参数。对于其中的大多数参数，共线性图是唯一已知的示例，并且我们的许多示例都是新的。
We describe a general construction of strongly regular graphs from the collinearity graph of a finite classical polar spaces of rank at least 3 over a finite field of order q. We show that these graphs are non-isomorphic to the collinearity graphs and have the same parameters. For most of these parameters, the collinearity graphs were the only known examples, and so many of our examples are new.