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CPC
2010
76views more  CPC 2010»
13 years 2 months ago
Bootstrap Percolation in High Dimensions
József Balogh, Béla Bollobás,...
CPC
2010
116views more  CPC 2010»
13 years 2 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 2 months ago
Decompositions into Subgraphs of Small Diameter
Jacob Fox, Benny Sudakov
CPC
2010
122views more  CPC 2010»
13 years 5 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 5 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 5 months ago
The t-Improper Chromatic Number of Random Graphs
Ross J. Kang, Colin McDiarmid
CPC
2010
81views more  CPC 2010»
13 years 5 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 5 months ago
Deterministic Edge Weights in Increasing Tree Families
Markus Kuba, Stephan Wagner