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» On planar intersection graphs with forbidden subgraphs
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JGT
2008
107views more  JGT 2008»
14 years 9 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»
14 years 9 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»
14 years 9 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»
14 years 9 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»
14 years 11 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