On the length of longest chordless cycles

被引:0
作者
Van Nuffelen C. [1 ]
Van Rompay K. [1 ]
机构
[1] University of Antwerp, 2000 Antwerp
关键词
Adjacency matrix; Cycle; Eigenvalues; Rank;
D O I
10.1007/s10288-005-0062-1
中图分类号
学科分类号
摘要
Upper bounds for the length of a longest (circuit) cycle without chords in a (directed) graph are given in terms of the rank of the adjacency matrix and in terms of its eigenvalues. © Springer-Verlag 2005.
引用
收藏
页码:133 / 138
页数:5
相关论文
共 50 条
[41]   Vertex-disjoint directed cycles of prescribed length in tournaments with given minimum out-degree and in-degree [J].
Lichiardopol, Nicolas .
DISCRETE MATHEMATICS, 2010, 310 (19) :2567-2570
[42]   Partition of a graph into cycles and degenerated cycles [J].
Enomoto, H ;
Li, H .
DISCRETE MATHEMATICS, 2004, 276 (1-3) :177-181
[43]   Homology Cycles and Dependent Cycles of Hypergraphs [J].
Jian-fang Wang ;
Xin Xu .
Acta Mathematicae Applicatae Sinica, English Series, 2018, 34 :237-248
[44]   Homology Cycles and Dependent Cycles of Hypergraphs [J].
Wang, Jian-fang ;
Xu, Xin .
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2018, 34 (02) :237-248
[45]   Homology Cycles and Dependent Cycles of Hypergraphs [J].
Jianfang WANG ;
Xin XU .
ActaMathematicaeApplicataeSinica, 2018, 34 (02) :237-248
[46]   Cycles in cube-connected cycles graphs [J].
Hsu, Lih-Hsing ;
Ho, Tung-Yang ;
Ho, Yen-Hsun ;
Tsay, Chey-Woei .
DISCRETE APPLIED MATHEMATICS, 2014, 167 :163-171
[47]   A "family of cycles" - major and auxiliary business cycles [J].
Jadevicius, Arvydas ;
Huston, Simon .
JOURNAL OF PROPERTY INVESTMENT & FINANCE, 2014, 32 (03) :306-+
[48]   Characterizations of Non-Singular Cycles, Path and Trees [J].
Sookyang, S. ;
Arworn, S. ;
Wojtylak, P. .
THAI JOURNAL OF MATHEMATICS, 2008, 6 (02) :331-336
[49]   Spectral conditions for the existence of specified paths and cycles in graphs [J].
Zhai, Mingqing ;
Lin, Huiqiu ;
Gong, Shicai .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2015, 471 :21-27
[50]   Group inverses of adjacency matrices of cycles, wheels and brooms [J].
K. C. Sivakumar ;
Raju Nandi .
Computational and Applied Mathematics, 2022, 41