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» On Graph Complexity
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DAM
1999
119views more  DAM 1999»
13 years 7 months ago
On the Algorithmic Complexity of Twelve Covering and Independence Parameters of Graphs
The definitions of four previously studied parameters related to total coverings and total matchings of graphs can be restricted, thereby obtaining eight parameters related to cov...
David Manlove
CORR
2007
Springer
116views Education» more  CORR 2007»
13 years 7 months ago
Complexity of some Path Problems in DAGs and Linear Orders
We investigate here the computational complexity of three natural problems in directed acyclic graphs. We prove their NP Completeness and consider their restrictions to linear orde...
Serge Burckel
ICALP
2001
Springer
13 years 12 months ago
Improved Lower Bounds on the Randomized Complexity of Graph Properties
We prove a lower bound of (n4/3 log1/3 n) on the randomized decision tree complexity of any nontrivial monotone n-vertex graph property, and of any nontrivial monotone bipartite g...
Amit Chakrabarti, Subhash Khot
MFCS
1992
Springer
13 years 11 months ago
The Complexity of Graph Connectivity
In this paper we survey the major developments in understanding the complexity of the graph connectivity problem in several computational models, and highlight some challenging op...
Avi Wigderson
IPL
2008
107views more  IPL 2008»
13 years 7 months ago
Reachability on prefix-recognizable graphs
We prove that on prefix-recognizable graphs reachability is complete for deterministic exponential time matching the complexity of alternating reachability. Key words: Reachabilit...
Stefan Göller