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» New Linear-Time Algorithms for Edge-Coloring Planar Graphs
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ESA
2008
Springer
130views Algorithms» more  ESA 2008»
15 years 4 months ago
Linear Time Planarity Testing and Embedding of Strongly Connected Cyclic Level Graphs
Abstract. A level graph is a directed acyclic graph with a level assignment for each node. Such graphs play a prominent role in graph drawing. They express strict dependencies and ...
Christian Bachmaier, Wolfgang Brunner
APPROX
2004
Springer
149views Algorithms» more  APPROX 2004»
15 years 8 months ago
Edge Coloring with Delays
Consider the following communication problem, that leads to a new notion of edge coloring. The communication network is represented by a bipartite multigraph, where the nodes on o...
Noga Alon, Vera Asodi
FOCS
2009
IEEE
15 years 9 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi
DAM
2008
93views more  DAM 2008»
15 years 3 months ago
Planar graph bipartization in linear time
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...