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» Covering graphs with matchings of fixed size
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DM
2010
102views more  DM 2010»
13 years 4 months ago
Covering graphs with matchings of fixed size
Let m be a positive integer and let G be a graph. We consider the question: can the edge set E(G) of G be expressed as the union of a set M of matchings of G each of which has siz...
David Cariolaro, Hung-Lin Fu
ADHOCNOW
2008
Springer
13 years 11 months ago
Local Maximal Matching and Local 2-Approximation for Vertex Cover in UDGs
We present 1 − approximation algorithms for the maximum matching problem in location aware unit disc graphs and in growth-bounded graphs. The algorithm for unit disk graph is loc...
Andreas Wiese, Evangelos Kranakis
ISAAC
2007
Springer
183views Algorithms» more  ISAAC 2007»
13 years 10 months ago
The Complexity of Finding Subgraphs Whose Matching Number Equals the Vertex Cover Number
The class of graphs where the size of a minimum vertex cover equals that of a maximum matching is known as K¨onig-Egerv´ary graphs. K¨onig-Egerv´ary graphs have been studied ex...
Sounaka Mishra, Venkatesh Raman, Saket Saurabh, So...
STOC
2010
ACM
211views Algorithms» more  STOC 2010»
14 years 2 months ago
Maintaining a Large Matching or a Small Vertex Cover
We consider the problem of maintaining a large matching or a small vertex cover in a dynamically changing graph. Each update to the graph is either an edge deletion or an edge ins...
Krzysztof Onak and Ronitt Rubinfeld
ESA
2004
Springer
103views Algorithms» more  ESA 2004»
13 years 10 months ago
Faster Fixed-Parameter Tractable Algorithms for Matching and Packing Problems
Abstract. We obtain faster algorithms for problems such as rdimensional matching, r-set packing, graph packing, and graph edge packing when the size k of the solution is considered...
Michael R. Fellows, Christian Knauer, Naomi Nishim...