On symplectic graphs modulo pn
On symplectic graphs modulo pn
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DOI：
10.1016/j.disc.2011.05.005
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发表时间：
2011-09
期刊：
影响因子：
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通讯作者：
Yotsanan Meemark;Thanakorn Prinyasart
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文献类型：
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作者：
Yotsanan Meemark;Thanakorn Prinyasart
本文利用模pn的2 ν× 2 ν辛群研究了一类正则图，其中p是素数，n和ν是正整数.我们发现这个图只有在ν= 1时才是强正则的。此外，我们还定义了交换环R上辛空间V的辛图，并证明了当R有稳定值域1时，V是点传递的和边传递的，这也是Z pn的情形.
In this work, we study a family of regular graphs using the 2 ν× 2 ν symplectic group modulo p n, where p is a prime and n and ν are positive integers. We find that this graph is strongly regular only when ν= 1. In addition, we define the symplectic graphs of a symplectic space V over a commutative ring R and show that it is vertex transitive and edge transitive when R has stable range one, which is the case for Z p n.