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DAM
2011
14 years 4 months ago
Matchability and k-maximal matchings
We present a collection of new structural, algorithmic, and complexity results for two types of matching problems. The first problem involves the computation of k-maximal matchin...
Brian C. Dean, Sandra Mitchell Hedetniemi, Stephen...
ICALP
2009
Springer
15 years 10 months ago
Limits and Applications of Group Algebras for Parameterized Problems
The algebraic framework introduced in [Koutis, Proc. of the 35th ICALP 2008] reduces several combinatorial problems in parameterized complexity to the problem of detecting multili...
Ioannis Koutis, Ryan Williams
IWPEC
2009
Springer
15 years 4 months ago
Boolean-Width of Graphs
Abstract. We introduce the graph parameter boolean-width, related to the number of different unions of neighborhoods across a cut of a graph. For many graph problems this number is...
Binh-Minh Bui-Xuan, Jan Arne Telle, Martin Vatshel...
SODA
1992
ACM
252views Algorithms» more  SODA 1992»
14 years 10 months ago
A General Approximation Technique for Constrained Forest Problems
We present a general approximation technique for a large class of graph problems. Our technique mostly applies to problems of covering, at minimum cost, the vertices of a graph wit...
Michel X. Goemans, David P. Williamson
ACID
2006
220views Algorithms» more  ACID 2006»
14 years 11 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