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Character graphs with diameter three
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-08-05 , DOI: 10.1090/proc/15160 Mahdi Ebrahimi
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-08-05 , DOI: 10.1090/proc/15160 Mahdi Ebrahimi
Abstract:For a finite group 
, let 
denote the character graph built on the set of degrees of the irreducible complex characters of 
. In this paper, we show that if the diameter of 
is equal to three, then the complement of 
is bipartite. Also in this case, we determine the structure of the character graph 
.
中文翻译：
直径为3的字符图
摘要：对于有限群，让表示基于的不可约复性的度数集的字符图。在本文中，我们表明，如果的直径等于3，则的补码是二分的。同样在这种情况下，我们确定字符图的结构。
更新日期：2020-09-02
, let denote the character graph built on the set of degrees of the irreducible complex characters of . In this paper, we show that if the diameter of is equal to three, then the complement of is bipartite. Also in this case, we determine the structure of the character graph . 中文翻译：
直径为3的字符图
摘要：对于有限群
，让表示基于的不可约复性的度数集的字符图。在本文中，我们表明，如果的直径等于3，则的补码是二分的。同样在这种情况下，我们确定字符图的结构。 
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