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» Connecting face hitting sets in planar graphs
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EJC
2007
14 years 11 months ago
Chords of longest circuits in locally planar graphs
It was conjectured by Thomassen ([B. Alspach, C. Godsil, Cycle in graphs, Ann. Discrete Math. 27 (1985)], p. 466) that every longest circuit of a 3-connected graph must have a cho...
Ken-ichi Kawarabayashi, Jianbing Niu, Cun-Quan Zha...
GMP
2010
IEEE
190views Solid Modeling» more  GMP 2010»
15 years 4 months ago
A Subdivision Approach to Planar Semi-algebraic Sets
Abstract. Semi-algebraic sets occur naturally when dealing with implicit models and boolean operations between them. In this work we present an algorithm to efficiently and in a ce...
Angelos Mantzaflaris, Bernard Mourrain
ESA
2010
Springer
136views Algorithms» more  ESA 2010»
15 years 22 days ago
Fast Minor Testing in Planar Graphs
Minor containment is a fundamental problem in Algorithmic Graph Theory, as numerous graph algorithms use it as a subroutine. A model of a graph H in a graph G is a set of disjoint ...
Isolde Adler, Frederic Dorn, Fedor V. Fomin, Ignas...
SWAT
2004
Springer
171views Algorithms» more  SWAT 2004»
15 years 5 months ago
Connectivity of Graphs Under Edge Flips
We study the following problem: Given a set V of n vertices and a set E of m edge pairs, we define a graph family G(V, E) as the set of graphs that have vertex set V and contain ...
Norbert Zeh
MOBICOM
2006
ACM
15 years 5 months ago
On delivery guarantees of face and combined greedy-face routing in ad hoc and sensor networks
It was recently reported that all known face and combined greedy-face routing variants cannot guarantee message delivery in arbitrary undirected planar graphs. The purpose of this...
Hannes Frey, Ivan Stojmenovic