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SWAT
2010
Springer
302views Algorithms» more  SWAT 2010»
14 years 12 days ago
A Weakly Robust PTAS for Minimum Clique Partition in Unit Disk Graphs
We consider the problem of partitioning the set of vertices of a given unit disk graph (UDG) into a minimum number of cliques. The problem is NP-hard and various constant factor a...
Imran A. Pirwani, Mohammad R. Salavatipour
STOC
2009
ACM
123views Algorithms» more  STOC 2009»
14 years 8 months ago
An improved constant-time approximation algorithm for maximum~matchings
This paper studies constant-time approximation algorithms for problems on degree-bounded graphs. Let n and d be the number of vertices and the degree bound, respectively. This pap...
Yuichi Yoshida, Masaki Yamamoto, Hiro Ito
CORR
2008
Springer
169views Education» more  CORR 2008»
13 years 7 months ago
Tight Approximation Ratio of a General Greedy Splitting Algorithm for the Minimum k-Way Cut Problem
For an edge-weighted connected undirected graph, the minimum k-way cut problem is to find a subset of edges of minimum total weight whose removal separates the graph into k connect...
Mingyu Xiao, Leizhen Cai, Andrew C. Yao
ACID
2006
220views Algorithms» more  ACID 2006»
13 years 8 months ago
Vertex and Edge Covers with Clustering Properties: Complexity and Algorithms
We consider the concepts of a t-total vertex cover and a t-total edge cover (t 1), which generalize the notions of a vertex cover and an edge cover, respectively. A t-total verte...
Henning Fernau, David Manlove
STOC
2007
ACM
239views Algorithms» more  STOC 2007»
14 years 7 months ago
Approximating minimum bounded degree spanning trees to within one of optimal
In the MINIMUM BOUNDED DEGREE SPANNING TREE problem, we are given an undirected graph with a degree upper bound Bv on each vertex v, and the task is to find a spanning tree of min...
Mohit Singh, Lap Chi Lau