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ISAAC
2007
Springer
183views Algorithms» more  ISAAC 2007»
14 years 4 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...
WG
2005
Springer
14 years 3 months ago
Induced Subgraphs of Bounded Degree and Bounded Treewidth
We prove that for all 0 ≤ t ≤ k and d ≥ 2k, every graph G with treewidth at most k has a ‘large’ induced subgraph H, where H has treewidth at most t and every vertex in ...
Prosenjit Bose, Vida Dujmovic, David R. Wood
JDA
2006
83views more  JDA 2006»
13 years 9 months ago
Partitioning a graph of bounded tree-width to connected subgraphs of almost uniform size
Assume that each vertex of a graph G is assigned a nonnegative integer weight and that l and u are nonnegative integers. One wishes to partition G into connected components by del...
Takehiro Ito, Xiao Zhou, Takao Nishizeki
NIPS
2007
13 years 11 months ago
Adaptive Embedded Subgraph Algorithms using Walk-Sum Analysis
We consider the estimation problem in Gaussian graphical models with arbitrary structure. We analyze the Embedded Trees algorithm, which solves a sequence of problems on tractable...
Venkat Chandrasekaran, Jason K. Johnson, Alan S. W...
STACS
2010
Springer
14 years 4 months ago
Finding Induced Subgraphs via Minimal Triangulations
Potential maximal cliques and minimal separators are combinatorial objects which were introduced and studied in the realm of minimal triangulation problems including Minimum Fill-i...
Fedor V. Fomin, Yngve Villanger