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» Parity Problems in Planar Graphs
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DM
2010
131views more  DM 2010»
13 years 7 months ago
Planar graphs without adjacent cycles of length at most seven are 3-colorable
We prove that every planar graph in which no i-cycle is adjacent to a j-cycle whenever 3 i j 7 is 3-colorable and pose some related problems on the 3-colorability of planar grap...
Oleg V. Borodin, Mickaël Montassier, Andr&eac...
CORR
1999
Springer
145views Education» more  CORR 1999»
13 years 7 months ago
Subgraph Isomorphism in Planar Graphs and Related Problems
We solve the subgraph isomorphism problem in planar graphs in linear time, for any pattern of constant size. Our results are based on a technique of partitioning the planar graph ...
David Eppstein
DAM
1999
81views more  DAM 1999»
13 years 7 months ago
On the Extension of Bipartite to Parity Graphs
Parity graphs form a superclass of bipartite and distance-hereditary graphs. Since their introduction, all the algorithms proposed as solutions to the recognition problem and othe...
Serafino Cicerone, Gabriele Di Stefano
FSTTCS
2005
Springer
14 years 1 months ago
The Directed Planar Reachability Problem
We investigate the s-t-connectivity problem for directed planar graphs, which is hard for L and is contained in NL but is not known to be complete. We show that this problem is log...
Eric Allender, Samir Datta, Sambuddha Roy
CSL
2007
Springer
14 years 1 months ago
Clique-Width and Parity Games
The question of the exact complexity of solving parity games is one of the major open problems in system verification, as it is equivalent to the problem of model-checking the mod...
Jan Obdrzálek