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CCCG
2007
13 years 9 months ago
Homothetic Triangle Contact Representations of Planar Graphs
In this paper we study the problem of computing homothetic triangle contact representations of planar graphs. Since not all planar graphs admit such a representation, we concentra...
Melanie Badent, Carla Binucci, Emilio Di Giacomo, ...
COMPGEOM
2009
ACM
14 years 2 months ago
Randomly removing g handles at once
It was shown in [11] that any orientable graph of genus g can be probabilistically embedded into a graph of genus g − 1 with constant distortion. Removing handles one by one giv...
Glencora Borradaile, James R. Lee, Anastasios Sidi...
ESA
2010
Springer
188views Algorithms» more  ESA 2010»
13 years 5 months ago
Contractions of Planar Graphs in Polynomial Time
Abstract. We prove that for every graph H, there exists a polynomial-time algorithm deciding if a planar graph can be contracted to H. We introduce contractions and topological min...
Marcin Kaminski, Daniël Paulusma, Dimitrios M...
COR
2008
95views more  COR 2008»
13 years 7 months ago
Good triangulations yield good tours
Consider the following heuristic for planar Euclidean instances of the Traveling Salesman Problem (TSP): select a subset of the edges which induces a planar graph, and solve eithe...
Adam N. Letchford, Nicholas A. Pearson
JGAA
2007
123views more  JGAA 2007»
13 years 7 months ago
A Polynomial Time Algorithm for Finding Nash Equilibria in Planar Win-Lose Games
Abstract. Two-player win-lose games have a simple directed graph representation. Exploiting this, we develop graph theoretic techniques for finding Nash equilibria in such games. ...
Louigi Addario-Berry, Neil Olver, Adrian Vetta