徐喜荣

个人信息Personal Information

副教授

博士生导师

硕士生导师

性别:女

毕业院校:大连理工大学

学位:博士

所在单位:计算机科学与技术学院

学科:计算机软件与理论

联系方式:0411-84706009-3913

电子邮箱:xirongxu@dlut.edu.cn

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Improved Feedback Vertex Sets in Kautz Digraphs K(d, n)

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论文类型:会议论文

发表时间:2014-11-15

收录刊物:EI、CPCI-S、Scopus

页面范围:161-165

关键字:Feedback vertex set; Feedback numbers; Kautz digraphs; Cycles; Acyclic subgraphs.

摘要:This paper considers the feedback number K (d,n) of Kautz digraphK (d,n) , which is the minimum number of vertices in K (d,n) whose removal results in an acyclic digraph. Xu et al. have determined the exact values of K (d,n) for 1 =.. = 7 and obtained an asymptotic formula f (d,n) = d(n)/n d(n-1)/n-1 + O(nd(n-d)) fo n >= 8 = 8. In this paper, we construct a feedback vertex set of f(d,n) and obtain.. d(n-1)/n + O(d(n/2)) for n >= 8 = 8 asymptotically.