On best transitive approximations to simple graphs

被引:9
作者
Delvaux, S [1 ]
Horsten, L
机构
[1] Catholic Univ Louvain, Dept Comp Sci, B-3000 Louvain, Belgium
[2] Catholic Univ Louvain, Dept Philosophy, B-3000 Louvain, Belgium
关键词
Simple Proof; Simple Graph; Complexity Aspect; Transitive Approximation;
D O I
10.1007/s00236-004-0144-0
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we investigate both combinatorial and complexity aspects of the problem of finding best transitive approximations to simple graphs. These problems are addressed in an interlocked way. We provide new and simple proofs of known results and in addition prove some new theorems.
引用
收藏
页码:637 / 655
页数:19
相关论文
共 10 条
[1]  
BLUM N, 1990, LECT NOTES COMPUT SC, V443, P586
[2]  
DECLERCQ R, IN PRESS SYNTHESE
[3]  
Garey M. R., 1976, Theoretical Computer Science, V1, P237, DOI 10.1016/0304-3975(76)90059-1
[4]  
KRANTZ S, 2002, LOGIC PROOF TECHNIQU
[5]   NP-HARD PROBLEMS IN HIERARCHICAL-TREE CLUSTERING [J].
KRIVANEK, M ;
MORAVEK, J .
ACTA INFORMATICA, 1986, 23 (03) :311-323
[7]  
Tomescu I, 1974, Discrete Math, V10, P173
[8]   CRITERIA OF IDENTITY AND THE AXIOM OF CHOICE [J].
WILLIAMSON, T .
JOURNAL OF PHILOSOPHY, 1986, 83 (07) :380-394
[9]  
Williamson T., 1990, IDENTITY DISCRIMINAT
[10]  
ZAHN CT, 1964, SIAM J APPL MATH, V12, P840