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RSA
2006
80views more  RSA 2006»
13 years 8 months ago
Regular subgraphs of random graphs
In this paper, we prove that there exists a function k = (4 + o(1))k such that G(n, /n) contains a k-regular graph with high probability whenever > k. In the case of k = 3, it...
Béla Bollobás, Jeong Han Kim, Jacque...
CPC
2007
76views more  CPC 2007»
13 years 8 months ago
Strong Isometric Dimension, Biclique Coverings, and Sperner's Theorem
The strong isometric dimension of a graph G is the least number k such that G isometrically embeds into the strong product of k paths. Using Sperner’s Theorem, the strong isomet...
Dalibor Froncek, Janja Jerebic, Sandi Klavzar, Pet...
JGT
2006
40views more  JGT 2006»
13 years 8 months ago
How many graphs are unions of k-cliques?
We study the number F[n; k] of n-vertex graphs that can be written as the edgeunion of k-vertex cliques. We obtain reasonably tight estimates for F[n; k] in the cases (i) k = n-o(...
Béla Bollobás, Graham Brightwell
COMBINATORICS
2004
108views more  COMBINATORICS 2004»
13 years 8 months ago
On the Chromatic Number of Intersection Graphs of Convex Sets in the Plane
Let G be the intersection graph of a finite family of convex sets obtained by translations of a fixed convex set in the plane. We show that every such graph with clique number k i...
Seog-Jin Kim, Alexandr V. Kostochka, Kittikorn Nak...
EDBT
2010
ACM
185views Database» more  EDBT 2010»
13 years 10 months ago
Probabilistic threshold k nearest neighbor queries over moving objects in symbolic indoor space
The availability of indoor positioning renders it possible to deploy location-based services in indoor spaces. Many such services will benefit from the efficient support for k n...
Bin Yang 0002, Hua Lu, Christian S. Jensen