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DAM
2000
101views more  DAM 2000»
13 years 7 months ago
The complexity of irredundant sets parameterized by size
An irredundant set of vertices V V in a graph G = (V; E) has the property that for every vertex u V ; N[V - {u}] is a proper subset of N[V ]. We investigate the parameterized co...
Rodney G. Downey, Michael R. Fellows, Venkatesh Ra...
JACM
2000
119views more  JACM 2000»
13 years 7 months ago
A minimum spanning tree algorithm with Inverse-Ackermann type complexity
A deterministic algorithm for computing a minimum spanning tree of a connected graph is presented. Its running time is O(m (m, n)), where is the classical functional inverse of Ack...
Bernard Chazelle
FSTTCS
2005
Springer
14 years 1 months ago
Fixpoint Logics on Hierarchical Structures
Hierarchical graph definitions allow a modular description of graphs using modules for the specification of repeated substructures. Beside this modularity, hierarchical graph de...
Stefan Göller, Markus Lohrey
ASUNAM
2010
IEEE
13 years 9 months ago
Fast Discovery of Reliable Subnetworks
Abstract--We present a novel and efficient algorithm, PATH COVERING, for solving the most reliable subgraph problem. A reliable subgraph gives a concise summary of the connectivity...
Petteri Hintsanen, Hannu Toivonen, Petteri Sevon
STACS
2007
Springer
14 years 1 months ago
The Polynomially Bounded Perfect Matching Problem Is in NC 2
Abstract. The perfect matching problem is known to be in ¶, in randomized NC, and it is hard for NL. Whether the perfect matching problem is in NC is one of the most prominent ope...
Manindra Agrawal, Thanh Minh Hoang, Thomas Thierau...