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» Online balanced graph avoidance games
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EJC
2007
13 years 4 months ago
Online balanced graph avoidance games
We introduce and study online balanced coloring games on the random graph process. The game is played by a player we call Painter. Edges of the complete graph with n vertices are ...
Martin Marciniszyn, Dieter Mitsche, Milos Stojakov...
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...
LATIN
2004
Springer
13 years 10 months ago
Embracing the Giant Component
Consider a game in which edges of a graph are provided a pair at a time, and the player selects one edge from each pair, attempting to construct a graph with a component as large ...
Abraham Flaxman, David Gamarnik, Gregory B. Sorkin