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CSL
2007
Springer
13 years 11 months ago
Game Characterizations and the PSPACE-Completeness of Tree Resolution Space
The Prover/Delayer game is a combinatorial game that can be used to prove upper and lower bounds on the size of Tree Resolution proofs, and also perfectly characterizes the space ...
Alexander Hertel, Alasdair Urquhart
JCSS
2008
96views more  JCSS 2008»
13 years 4 months ago
A combinatorial characterization of resolution width
We provide a characterization of the resolution width introduced in the context of propositional proof complexity in terms of the existential pebble game introduced in the context...
Albert Atserias, Víctor Dalmau
STOC
2009
ACM
171views Algorithms» more  STOC 2009»
14 years 5 months ago
On the geometry of graphs with a forbidden minor
We study the topological simplification of graphs via random embeddings, leading ultimately to a reduction of the Gupta-Newman-Rabinovich-Sinclair (GNRS) L1 embedding conjecture t...
James R. Lee, Anastasios Sidiropoulos