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» Twins of rayless graphs
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IWPEC
2009
Springer
16 years 4 days ago
Improved Induced Matchings in Sparse Graphs
An induced matching in graph G is a matching which is an induced subgraph of G. Clearly, among two vertices with the same neighborhood (called twins) at most one is matched in any...
Rok Erman, Lukasz Kowalik, Matjaz Krnc, Tomasz Wal...
182
Voted
TALG
2008
67views more  TALG 2008»
15 years 5 months ago
Structure and linear-time recognition of 4-leaf powers
A graph G is the k-leaf power of a tree T if its vertices are leaves of T such that two vertices are adjacent in G if and only if their distance in T is at most k. Then T is a k-le...
Andreas Brandstädt, Van Bang Le, R. Sritharan
STOC
2010
ACM
170views Algorithms» more  STOC 2010»
15 years 10 months ago
Connectivity oracles for failure prone graphs
Dynamic graph connectivity algorithms have been studied for many years, but typically in the most general possible setting, where the graph can evolve in completely arbitrary ways...
Ran Duan, Seth Pettie
MST
2010
86views more  MST 2010»
15 years 11 days ago
Fixed-Parameter Enumerability of Cluster Editing and Related Problems
Cluster Editing is transforming a graph by at most k edge insertions or deletions into a disjoint union of cliques. This problem is fixed-parameter tractable (FPT). Here we comput...
Peter Damaschke