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FOCS
2003
IEEE
14 years 3 months ago
On Levels in Arrangements of Curves, II: A Simple Inequality and Its Consequences
We give a surprisingly short proof that in any planar arrangement of Ò curves where each pair intersects at most a fixed number (×) of times, the -level has subquadratic (Ç´...
Timothy M. Chan
IMR
2003
Springer
14 years 2 months ago
When and Why Ruppert's Algorithm Works
An “adaptive” variant of Ruppert’s Algorithm for producing quality triangular planar meshes is introduced. The algorithm terminates for arbitrary Planar Straight Line Graph ...
Gary L. Miller, Steven E. Pav, Noel Walkington
JGT
2006
98views more  JGT 2006»
13 years 9 months ago
Group chromatic number of planar graphs of girth at least 4
Jeager et al introduced a concept of group connectivity as an generalization of nowhere zero flows and its dual concept group coloring, and conjectured that every 5-edge connected...
Hong-Jian Lai, Xiangwen Li
FOCS
1995
IEEE
14 years 1 months ago
An Approximation Scheme for Planar Graph TSP
We consider the special case of the traveling salesman problem TSP in which the distance metric is the shortest-path metric of a planar unweighted graph. We present a polynomial...
Michelangelo Grigni, Elias Koutsoupias, Christos H...
DAM
2008
93views more  DAM 2008»
13 years 9 months ago
Planar graph bipartization in linear time
For each constant k, we present a linear time algorithm that, given a planar graph G, either finds a minimum odd cycle vertex transversal in G or guarantees that there is no transv...
Samuel Fiorini, Nadia Hardy, Bruce A. Reed, Adrian...