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» Minimum Multiway Cuts in Trees
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STOC
1999
ACM
125views Algorithms» more  STOC 1999»
13 years 11 months ago
Rounding Algorithms for a Geometric Embedding of Minimum Multiway Cut
Given an undirected graph with edge costs and a subset of k ≥ 3 nodes called terminals, a multiway, or k-way, cut is a subset of the edges whose removal disconnects each termina...
David R. Karger, Philip N. Klein, Clifford Stein, ...
WEA
2007
Springer
158views Algorithms» more  WEA 2007»
14 years 1 months ago
A Primal Branch-and-Cut Algorithm for the Degree-Constrained Minimum Spanning Tree Problem
The degree-constrained minimum spanning tree (DCMST) is relevant in the design of networks. It consists of finding a spanning tree whose nodes do not exceed a given maximum degree...
Markus Behle, Michael Jünger, Frauke Liers
WADS
2009
Springer
256views Algorithms» more  WADS 2009»
14 years 2 months ago
Dynamic Graph Clustering Using Minimum-Cut Trees
Abstract. Algorithms or target functions for graph clustering rarely admit quality guarantees or optimal results in general. Based on properties of minimum-cut trees, a clustering ...
Robert Görke, Tanja Hartmann, Dorothea Wagner
SDM
2007
SIAM
139views Data Mining» more  SDM 2007»
13 years 8 months ago
Dynamic Algorithm for Graph Clustering Using Minimum Cut Tree
We present an efficient dynamic algorithm for clustering undirected graphs, whose edge property is changing continuously. The algorithm maintains clusters of high quality in pres...
Barna Saha, Pabitra Mitra
APPROX
2004
Springer
136views Algorithms» more  APPROX 2004»
14 years 26 days ago
On the Crossing Spanning Tree Problem
Given an undirected n-node graph and a set C of m cuts, the minimum crossing tree is a spanning tree which minimizes the maximum crossing of any cut in C, where the crossing of a c...
Vittorio Bilò, Vineet Goyal, R. Ravi, Mohit...