For each constant k, we present a linear time algorithm that, given a planar graph G, either finds a minimum odd cycle vertex transversal in G or guarantees that there is no transv...
Samuel Fiorini, Nadia Hardy, Bruce A. Reed, Adrian...
The first polynomial time algorithm (O(n4 )) for modular decomposition appeared in 1972 [8] and since then there have been incremental improvements, eventually resulting in linear...
Michel Habib, Fabien de Montgolfier, Christophe Pa...
We provide linear-time algorithms for geometric graphs with sublinearly many crossings. That is, we provide algorithms running in O(n) time on connected geometric graphs having n ...
David Eppstein, Michael T. Goodrich, Darren Strash
d Abstract) Alexander Langer, Peter Rossmanith, and Somnath Sikdar RWTH Aachen University, 52074 Aachen, Germany. We present an alternative proof of a theorem by Courcelle, Makowsk...
Alexander Langer, Peter Rossmanith, Somnath Sikdar
We give an algorithm requiring O(c1/2 n) time to find an -optimal traveling salesman tour in the shortest-path metric defined by an undirected planar graph with nonnegative edgele...