EVOLUTIONARY TREES - AN INTEGER MULTICOMMODITY MAX-FLOW - MIN-CUT THEOREM

被引:17
作者
ERDOS, PL
SZEKELY, LA
机构
[1] HUNGARIAN ACAD SCI, H-1364 BUDAPEST, HUNGARY
[2] EOTVOS LORAND UNIV, DEPT COMP SCI, H-1088 BUDAPEST, HUNGARY
关键词
D O I
10.1016/0196-8858(92)90017-Q
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In biomathematics, the extensions of a leaf-colouration of a binary tree to the whole vertex set with minimum number of colour-changing edges are extensively studied. Our paper generalizes the problem for trees; algorithms and a Menger-type theorem are presented. The LP dual of the problem is a multicommodity flow problem, for which a max-flow-min-cut theorem holds. The problem that we solve is an instance of the NP-hard multiway cut problem. © 1992.
引用
收藏
页码:375 / 389
页数:15
相关论文
共 11 条
[1]   ON THE DISTRIBUTION OF LENGTHS OF EVOLUTIONARY TREES [J].
CARTER, M ;
HENDY, M ;
PENNY, D ;
SZEKELY, LA ;
WORMALD, NC .
SIAM JOURNAL ON DISCRETE MATHEMATICS, 1990, 3 (01) :38-47
[2]   ON THE MULTIWAY CUT POLYHEDRON [J].
CHOPRA, S ;
RAO, MR .
NETWORKS, 1991, 21 (01) :51-89
[3]  
DAHLHAUS E, 1983, COMPLEXITY MULTIWAY
[4]  
ERDOS P, IN PRESS DISCRETE AP
[5]   PHYLOGENIES FROM MOLECULAR SEQUENCES - INFERENCE AND RELIABILITY [J].
FELSENSTEIN, J .
ANNUAL REVIEW OF GENETICS, 1988, 22 :521-565
[6]   TOWARD DEFINING COURSE OF EVOLUTION - MINIMUM CHANGE FOR A SPECIFIC TREE TOPOLOGY [J].
FITCH, WM .
SYSTEMATIC ZOOLOGY, 1971, 20 (04) :406-&
[7]  
Foulds L.R., 1982, ADV APPL MATH, V3, P43, DOI DOI 10.1016/S0196-8858(82)80004-3
[8]   UNLIKELIHOOD THAT MINIMAL PHYLOGENIES FOR A REALISTIC BIOLOGICAL STUDY CAN BE CONSTRUCTED IN REASONABLE COMPUTATIONAL TIME [J].
GRAHAM, RL ;
FOULDS, LR .
MATHEMATICAL BIOSCIENCES, 1982, 60 (02) :133-142
[9]   MINIMUM MUTATION FITS TO A GIVEN TREE [J].
HARTIGAN, JA .
BIOMETRICS, 1973, 29 (01) :53-65
[10]  
Lovasz L., 1986, MATCHING THEORY