Subconstituents of symplectic graphs modulo pn

Subconstituents of symplectic graphs modulo pn
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DOI:
10.1016/j.laa.2013.04.015
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发表时间:
2013-09
影响因子:
1.1
通讯作者:
Zhenhua Gu
Zhenhua Gu
中科院分区:
数学3区
文献类型:
--
作者:
Zhenhua Gu

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研究了辛图模的两个子成分[公式:见文]),其中ν,n为正整数。第一个子成分被证明是一个3-Deza图,除了平凡的情况ν=1,当它是强正则的。当ν大于或等于2时,第二个子成分显示为严格的Deza图。确定了这些图的参数。并给出了这两个子成分的色数和满自同构群。
The two subconstituents of symplectic graphs modulo [Formula: see text] ), where ν,n are positive integers, are studied. The first subconstituent is shown to be a 3-Deza graph except the trivial case ν=1, when it is strongly regular. And when ν⩾2, the second subconstituent is shown to be a strictly Deza graph. The parameters of these graphs are determined. Moreover, the chromatic number and the full automorphism group of these two subconstituents are given.