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CPC
2010
76views more  CPC 2010»
13 years 9 months ago
Bootstrap Percolation in High Dimensions
József Balogh, Béla Bollobás,...
CPC
2010
116views more  CPC 2010»
13 years 9 months ago
A Separator Theorem for String Graphs and its Applications
A string graph is the intersection graph of a collection of continuous arcs in the plane. It is shown that any string graph with m edges can be separated into two parts of roughly...
Jacob Fox, János Pach
CPC
2010
75views more  CPC 2010»
13 years 9 months ago
Decompositions into Subgraphs of Small Diameter
Jacob Fox, Benny Sudakov
CPC
2010
122views more  CPC 2010»
13 years 11 months ago
The Longest Minimum-Weight Path in a Complete Graph
We consider the minimum-weight path between any pair of nodes of the n-vertex complete graph in which the weights of the edges are i.i.d. exponentially distributed random variable...
Louigi Addario-Berry, Nicolas Broutin, Gábo...
CPC
2010
103views more  CPC 2010»
13 years 11 months ago
Duality of Ends
We investigate the end spaces of infinite dual graphs. We show that there exists a natural homeomorphism between the end spaces of a graph and its dual, and that this homeomorphis...
Henning Bruhn, Maya Jakobine Stein
CPC
2010
89views more  CPC 2010»
13 years 11 months ago
The t-Improper Chromatic Number of Random Graphs
Ross J. Kang, Colin McDiarmid
CPC
2010
81views more  CPC 2010»
13 years 11 months ago
The Linus Sequence
Define the Linus sequence Ln for n 1 as a 0-1 sequence with L1 = 0, and Ln chosen so as to minimize the length of the longest immediately repeated block Ln-2r+1 . . . Ln-r = Ln-r...
Paul Balister, Steve Kalikow, Amites Sarkar
CPC
2010
64views more  CPC 2010»
13 years 11 months ago
Deterministic Edge Weights in Increasing Tree Families
Markus Kuba, Stephan Wagner