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» On planar intersection graphs with forbidden subgraphs
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JGT
2008
107views more  JGT 2008»
13 years 4 months ago
On planar intersection graphs with forbidden subgraphs
Let C be a family of n compact connected sets in the plane, whose intersection graph G(C) has no complete bipartite subgraph with k vertices in each of its classes. Then G(C) has ...
János Pach, Micha Sharir
ALGORITHMICA
2006
138views more  ALGORITHMICA 2006»
13 years 4 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...
SIAMDM
2008
101views more  SIAMDM 2008»
13 years 4 months ago
On Planar Quasi-Parity Graphs
A graph G is strict quasi parity (SQP) if every induced subgraph of G that is not a clique contains a pair of vertices with no odd chordless path between them (an even pair). Houga...
Cláudia Linhares Sales, Frédé...
ENDM
2008
118views more  ENDM 2008»
13 years 4 months ago
Partial characterizations of clique-perfect and coordinated graphs: superclasses of triangle-free graphs
A graph G is clique-perfect if the cardinality of a maximum clique-independent set of H equals the cardinality of a minimum clique-transversal of H, for every induced subgraph H o...
Flavia Bonomo, Guillermo Durán, Francisco J...
ESA
2008
Springer
130views Algorithms» more  ESA 2008»
13 years 6 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