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» Offline thresholds for Ramsey-type games on random graphs
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RSA
2010
53views more  RSA 2010»
13 years 3 months ago
Offline thresholds for Ramsey-type games on random graphs
Michael Krivelevich, Reto Spöhel, Angelika St...
COMBINATORICA
2010
13 years 2 months ago
Online vertex-coloring games in random graphs
Consider the following one-player game. The vertices of a random graph on n vertices are revealed to the player one by one. In each step, also all edges connecting the newly reveal...
Martin Marciniszyn, Reto Spöhel
DM
2010
140views more  DM 2010»
13 years 5 months ago
Online Ramsey games for triangles in random graphs
In the online F-avoidance edge-coloring game with r colors, a graph on n vertices is generated by at each stage randomly adding a new edge. The player must color each new edge as ...
József Balogh, Jane Butterfield
RSA
2011
121views more  RSA 2011»
12 years 12 months ago
Ramsey games with giants
: The classical result in the theory of random graphs, proved by Erd˝os and Rényi in 1960, concerns the threshold for the appearance of the giant component in the random graph pr...
Tom Bohman, Alan M. Frieze, Michael Krivelevich, P...
STOC
2010
ACM
181views Algorithms» more  STOC 2010»
13 years 5 months ago
Load balancing and orientability thresholds for random hypergraphs
Let h > w > 0 be two fixed integers. Let H be a random hypergraph whose hyperedges are uniformly of size h. To w-orient a hyperedge, we assign exactly w of its vertices posi...
Pu Gao, Nicholas C. Wormald