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CORR
2010
Springer
81views Education» more  CORR 2010»
15 years 6 months ago
Relaxation-based coarsening and multiscale graph organization
We propose a new measure that quantifies the "closeness" between two nodes in a given graph. The calculation of the measure is linear in the number of edges in the graph...
Dorit Ron, Ilya Safro, Achi Brandt
ALGORITHMICA
2004
150views more  ALGORITHMICA 2004»
15 years 6 months ago
Sum Coloring of Bipartite Graphs with Bounded Degree
We consider the Chromatic Sum Problem on bipartite graphs which appears to be much harder than the classical Chromatic Number Problem. We prove that the Chromatic Sum Problem is NP...
Michal Malafiejski, Krzysztof Giaro, Robert Jancze...
CPC
2007
76views more  CPC 2007»
15 years 6 months ago
A Point Process Describing the Component Sizes in the Critical Window of the Random Graph Evolution
We study a point process describing the asymptotic behavior of sizes of the largest components of the random graph G(n, p) in the critical window, that is, for p = n−1 + λn−4/...
Svante Janson, Joel Spencer
CORR
2008
Springer
129views Education» more  CORR 2008»
15 years 6 months ago
Bounds on Codes Based on Graph Theory
"THIS PAPER IS ELIGIBLE FOR THE STUDENT PAPER AWARD" Let Aq(n, d) be the maximum order (maximum number of codewords) of a q-ary code of length n and Hamming distance at l...
Salim Y. El Rouayheb, Costas N. Georghiades, Emina...
GD
1998
Springer
15 years 10 months ago
Geometric Thickness of Complete Graphs
We define the geometric thickness of a graph to be the smallest number of layers such that we can draw the graph in the plane with straightline edges and assign each edge to a lay...
Michael B. Dillencourt, David Eppstein, Daniel S. ...