The.Algorithm.Design.Manual.Springer-Verlag.1998

The.Algorithm.Design.Manual.Springer-Verlag.1998 The.Algorithm.Design.Manual.Springer-Verlag.1998

18.04.2013 Views

1.5.6 Graph Partition 1.5.6 Graph Partition INPUT OUTPUT Input Description: A (weighted) graph G=(V,E) . Integers j , k , and m . Problem: Partition the vertices into m subsets such that each subset has size at most j , while the cost of the edges spanning subsets is bounded by k . Implementations ● LINK -- Programming and Visualization Environment for Hypergraphs (C++) (rating 8) ● LEDA - A Library of Efficient Data Types and Algorithms (C++) (rating 4) Related Problems ● Edge and Vertex Connectivity ● Graph Data Structures file:///E|/WEBSITE/FILES/GRAPTION.HTM (1 of 2) [19/1/2003 1:37:26]

1.5.6 Graph Partition ● Network Flow ● Planarity Detection and Embedding Go to the corresponding chapter in the book About the Book Send us Mail Go to Main Page This page last modified on Tue Jun 03, 1997 . file:///E|/WEBSITE/FILES/GRAPTION.HTM (2 of 2) [19/1/2003 1:37:26]

1.5.6 Graph Partition<br />

1.5.6 Graph Partition<br />

INPUT OUTPUT<br />

Input Description: A (weighted) graph G=(V,E) . Integers j , k , and m .<br />

Problem: Partition the vertices into m subsets such that each subset has size at most j , while the cost of<br />

the edges spanning subsets is bounded by k .<br />

Implementations<br />

● LINK -- Programming and Visualization Environment for Hypergraphs (C++) (rating 8)<br />

● LEDA - A Library of Efficient Data Types and <strong>Algorithm</strong>s (C++) (rating 4)<br />

Related Problems<br />

● Edge and Vertex Connectivity<br />

● Graph Data Structures<br />

file:///E|/WEBSITE/FILES/GRAPTION.HTM (1 of 2) [19/1/2003 1:37:26]

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