ISOMORPHIC DIGRAPHS FROM POWERS MODULO p

被引:5
作者
Deng, Guixin [1 ]
Yuan, Pingzhi [2 ]
机构
[1] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Guangdong, Peoples R China
[2] S China Normal Univ, Sch Math, Guangzhou 510631, Guangdong, Peoples R China
关键词
congruence; digraph; component; height;
D O I
10.1007/s10587-011-0025-y
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let p be a prime. We assign to each positive number k a digraph G(p)(k) whose set of vertices is {1, 2, ... , p - 1} and there exists a directed edge from a vertex a to a vertex b if a(k) equivalent to b (mod p). In this paper we obtain a necessary and sufficient condition for G(p)(k1) similar or equal to G(p)(k2).
引用
收藏
页码:771 / 779
页数:9
相关论文
共 2 条
  • [1] Lucheta C, 1996, FIBONACCI QUART, V34, P226
  • [2] On symmetric digraphs of the congruence xk ≡ y (mod n)
    Somer, Lawrence
    Krizek, Michal
    [J]. DISCRETE MATHEMATICS, 2009, 309 (08) : 1999 - 2009