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ISAAC
2007
Springer
183views Algorithms» more  ISAAC 2007»
14 years 1 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...
APPROX
2009
Springer
195views Algorithms» more  APPROX 2009»
14 years 2 months ago
Approximating Node-Connectivity Augmentation Problems
The (undirected) Node Connectivity Augmentation (NCA) problem is: given a graph J = (V, EJ ) and connectivity requirements {r(u, v) : u, v ∈ V }, find a minimum size set I of n...
Zeev Nutov
SIAMDM
2010
130views more  SIAMDM 2010»
13 years 6 months ago
On the Hull Number of Triangle-Free Graphs
A set of vertices C in a graph is convex if it contains all vertices which lie on shortest paths between vertices in C. The convex hull of a set of vertices S is the smallest conve...
Mitre Costa Dourado, Fábio Protti, Dieter R...
MFCS
2004
Springer
14 years 1 months ago
The Bidimensional Theory of Bounded-Genus Graphs
Abstract. Bidimensionality provides a tool for developing subexponential fixed-parameter algorithms for combinatorial optimization problems on graph families that exclude a minor....
Erik D. Demaine, Mohammad Taghi Hajiaghayi, Dimitr...
COCOON
2009
Springer
14 years 2 months ago
Convex Partitions with 2-Edge Connected Dual Graphs
It is shown that for every finite set of disjoint convex polygonal obstacles in the plane, with a total of n vertices, the free space around the obstacles can be partitioned into ...
Marwan Al-Jubeh, Michael Hoffmann, Mashhood Ishaqu...