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FAW
2007
Springer
177views Algorithms» more  FAW 2007»
15 years 3 months ago
The Parameterized Complexity of the Induced Matching Problem in Planar Graphs
Abstract. Given a graph G and a nonnegative integer k, the NP-complete Induced Matching problem asks for an edge subset M such that M is a matching and no two edges of M are joined...
Hannes Moser, Somnath Sikdar
COMPGEOM
2006
ACM
15 years 3 months ago
Optimal succinct representations of planar maps
This paper addresses the problem of representing the connectivity information of geometric objects using as little memory as possible. As opposed to raw compression issues, the fo...
Luca Castelli Aleardi, Olivier Devillers, Gilles S...
ESA
2000
Springer
122views Algorithms» more  ESA 2000»
15 years 1 months ago
Minimum Depth Graph Embedding
Abstract. The depth of a planar embedding is a measure of the topological nesting of the biconnected components of the graph. Minimizing the depth of planar embeddings has importan...
Maurizio Pizzonia, Roberto Tamassia
NETWORKS
2011
14 years 14 days ago
On terminal delta-wye reducibility of planar graphs
A graph is terminal ∆ − Y -reducible if, it can be reduced to a distinguished set of terminal vertices by a sequence of series-parallel reductions and ∆−Y -transformations...
Isidoro Gitler, Feliu Sagols
80
Voted
ICRA
1999
IEEE
138views Robotics» more  ICRA 1999»
15 years 1 months ago
Efficient Topological Exploration
We consider the robot exploration of a planar graphlike world. The robot's goal is to build a complete map of its environment. The environment is modeled as an arbitrary undi...
Ioannis M. Rekleitis, Vida Dujmovic, Gregory Dudek