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» Connecting face hitting sets in planar graphs
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EJC
2007
13 years 7 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»
14 years 9 days 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»
13 years 8 months 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»
14 years 25 days 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
14 years 1 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