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» Bounding the Number of Edges in Permutation Graphs
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ENDM
2008
118views more  ENDM 2008»
13 years 6 months ago
Number of Crossing-Free Geometric Graphs vs. Triangulations
We show that there is a constant > 0 such that, for any set P of n 5 points in general position in the plane, a crossing-free geometric graph on P that is chosen uniformly at...
Andreas Razen, Jack Snoeyink, Emo Welzl
CCCG
1997
13 years 7 months ago
On the number of internal and external visibility edges of polygons
In this paper we prove that for any simple polygon P with n vertices, the sum of the number of strictly internal edges and the number of strictly external visibility edges of P is...
Jorge Urrutia
ALGORITHMICA
2011
13 years 1 months ago
Crossing Number and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G−e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from diffe...
Sergio Cabello, Bojan Mohar
CORR
2011
Springer
174views Education» more  CORR 2011»
13 years 1 months ago
Lower bounds on the obstacle number of graphs
Given a graph G, an obstacle representation of G is a set of points in the plane representing the vertices of G, together with a set of connected obstacles such that two vertices ...
Padmini Mukkamala, János Pach, Döm&oum...
IPL
2000
111views more  IPL 2000»
13 years 6 months ago
On the performance of the first-fit coloring algorithm on permutation graphs
In this paper we study the performance of a particular on-line coloring algorithm, the First-Fit or Greedy algorithm, on a class of perfect graphs namely the permutation graphs. W...
Stavros D. Nikolopoulos, Charis Papadopoulos