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JCT
2008
70views more  JCT 2008»
14 years 11 months ago
The number of possibilities for random dating
Let G be a regular graph and H a subgraph on the same vertex set. We give surprisingly compact formulas for the number of copies of H one expects to find in a random subgraph of G...
Aaron Abrams, Rod Canfield, Andrew Granville
COMBINATORICS
2004
108views more  COMBINATORICS 2004»
14 years 11 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...
CORR
2007
Springer
130views Education» more  CORR 2007»
14 years 11 months ago
On Computing the Distinguishing Numbers of Planar Graphs and Beyond: a Counting Approach
A vertex k-labeling of graph G is distinguishing if the only automorphism that preserves the labels of G is the identity map. The distinguishing number of G, D(G), is the smallest...
Vikraman Arvind, Christine T. Cheng, Nikhil R. Dev...
SWAT
2004
Springer
117views Algorithms» more  SWAT 2004»
15 years 5 months ago
Maximizing the Number of Packed Rectangles
Given a set of rectangles we are asked to pack as many of them as possible into a bigger rectangle. The rectangles packed may not overlap and may not be rotated. This problem is NP...
Klaus Jansen, Guochuan Zhang
SIGIR
2005
ACM
15 years 5 months ago
Controlling overlap in content-oriented XML retrieval
The direct application of standard ranking techniques to retrieve individual elements from a collection of XML documents often produces a result set in which the top ranks are dom...
Charles L. A. Clarke