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ALGORITHMICA
2006
138views more  ALGORITHMICA 2006»
13 years 11 months ago
Planar Graph Coloring Avoiding Monochromatic Subgraphs: Trees and Paths Make It Difficult
We consider the problem of coloring a planar graph with the minimum number of colors so that each color class avoids one or more forbidden graphs as subgraphs. We perform a detail...
Hajo Broersma, Fedor V. Fomin, Jan Kratochví...
DAM
2008
90views more  DAM 2008»
13 years 11 months ago
Polarity of chordal graphs
Polar graphs are a common generalization of bipartite, cobipartite, and split graphs. They are defined by the existence of a certain partition of vertices, which is NPcomplete to ...
Tinaz Ekim, Pavol Hell, Juraj Stacho, Dominique de...
STOC
1991
ACM
105views Algorithms» more  STOC 1991»
14 years 2 months ago
An Efficient Algorithm for the Genus Problem with Explicit Construction of Forbidden Subgraphs
act We give an algorithm for imbedding a graph G of n vertices onto an oriented surface of minimal genus g. If g > 0 then we also construct a forbidden subgraph of G which is ho...
Hristo Djidjev, John H. Reif