Convex p-partitions of bipartite graphs

被引:6
|
作者
Grippo, Luciano N. [1 ]
Matamala, Martin [2 ,3 ]
Safe, Martin D. [1 ]
Stein, Maya J. [3 ]
机构
[1] Univ Nacl Gen Sarmiento, Inst Ciencias, Buenos Aires, DF, Argentina
[2] Univ Chile, Dept Ingn Matemat, Santiago, Chile
[3] Univ Chile, Ctr Modelamiento Matemat, CNRS, UMI 2807, Santiago, Chile
关键词
Bipartite graph; Convex partition; Graph convexity; Geodesic convexity; NUMBER;
D O I
10.1016/j.tcs.2015.11.014
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
A set of vertices X of a graph G is convex if no shortest path between two vertices in X contains a vertex outside X. We prove that for fixed p >= 1, all partitions of the vertex set of a bipartite graph into p convex sets can be found in polynomial time. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:511 / 514
页数:4
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