86 search results - page 8 / 18 » On the Maximum Degree of a Random Planar Graph |
COMPGEOM
2006
ACM
14 years 1 months ago
2006
ACM
Let S be a finite set of n + 3 points in general position in the plane, with 3 extreme points and n interior points. We consider triangulations drawn uniformly at random from the...
COMPGEOM
2010
ACM
14 years 17 days ago
2010
ACM
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
DAM
2008
13 years 7 months ago
2008
Given a graph G = (V, E) and a positive integer k, the PARTITION INTO CLIQUES (PIC) decision problem consists of deciding whether there exists a partition of V into k disjoint sub...
ISAAC
2005
Springer
14 years 1 months ago
2005
Springer
Given a set S of n points in RD , and an integer k such that 0 k < n, we show that a geometric graph with vertex set S, at most n − 1 + k edges, maximum degree five, and dila...
JGT
2008
13 years 7 months ago
2008
The square G2 of a graph G is the graph with the same vertex set as G and with two vertices adjacent if their distance in G is at most 2. Thomassen showed that for a planar graph ...