Tree-visibility orders

被引:2
作者
Kratsch, D
Rampon, JX
机构
[1] Univ Jena, Fak Math & Informat, D-07740 Jena, Germany
[2] ECN, IRCYN, UMR CNRS 6597, F-44321 Nantes 3, France
关键词
D O I
10.1016/S0012-365X(98)00041-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We introduce a new class of partially ordered sets, called tree-visibility orders, containing interval orders, duals of generalized interval orders and height one orders. We give a characterization of tree-visibility orders by an infinite family of minimal forbidden suborders. Furthermore, we present an efficient recognition algorithm for tree-visibility orders. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:163 / 175
页数:13
相关论文
共 10 条
[1]  
[Anonymous], 1979, Computers and Intractablity: A Guide to the Theoryof NP-Completeness
[2]  
BOGART KP, 1994, LECT NOTES COMPUTER, V831, P13
[3]  
Bondy J.A., 1976, Graph Theory, V290
[4]   THE COMMUNICATION COMPLEXITY OF INTERVAL ORDERS [J].
FAIGLE, U ;
SCHRADER, R ;
TURAN, G .
DISCRETE APPLIED MATHEMATICS, 1992, 40 (01) :19-28
[5]  
GARBE R, 1994, THESIS U TWENTE
[6]  
Gavril F., 1974, Journal of Combinatorial Theory, Series B, V16, P47, DOI 10.1016/0095-8956(74)90094-X
[7]   GRAPH SANDWICH PROBLEMS [J].
GOLUMBIC, MC ;
KAPLAN, H ;
SHAMIR, R .
JOURNAL OF ALGORITHMS-COGNITION INFORMATICS AND LOGIC, 1995, 19 (03) :449-473
[8]  
Golumbic MC., 1980, Algorithmic Graph Theory and Perfect Graphs
[9]   Partial orders and their convex subsets [J].
Muller, H ;
Rampon, JX .
DISCRETE MATHEMATICS, 1997, 165 :507-517
[10]  
Trotter W.T., 1992, COMBINATORICS PARTIA