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DAM
2007
141views more  DAM 2007»
13 years 7 months ago
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that the vertex set of G can be partitioned into packings with pairwise different widths. Several...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
JCT
2007
90views more  JCT 2007»
13 years 7 months ago
On the maximum number of edges in quasi-planar graphs
A topological graph is quasi-planar, if it does not contain three pairwise crossing edges. Agarwal et al. [2] proved that these graphs have a linear number of edges. We give a sim...
Eyal Ackerman, Gábor Tardos
CIAC
2010
Springer
252views Algorithms» more  CIAC 2010»
14 years 10 days ago
On the Number of Higher Order Delaunay Triangulations
Higher order Delaunay triangulations are a generalization of the Delaunay triangulation which provides a class of well-shaped triangulations, over which extra criteria can be optim...
Dieter Mitsche, Maria Saumell, Rodrigo I. Silveira
CCCG
2010
13 years 9 months ago
Combinatorial changes of euclidean minimum spanning tree of moving points in the plane
In this paper, we enumerate the number of combinatorial changes of the the Euclidean minimum spanning tree (EMST) of a set of n moving points in 2dimensional space. We assume that...
Zahed Rahmati, Alireza Zarei
RSA
2002
71views more  RSA 2002»
13 years 7 months ago
The infamous upper tail
Let be a finite index set and k 1 a given integer. Let further S []k be an arbitrary family of k element subsets of . Consider a (binomial) random subset p of , where p = (pi :...
Svante Janson, Andrzej Rucinski