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» Fixed points in digital topology (via Helly posets)
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ENTCS
2002
105views more  ENTCS 2002»
13 years 5 months ago
Fixed points in digital topology (via Helly posets)
Abstract. We extend some of our previous results on fixed points of graph multifunctions to posets. The posets of most interest here are the (finite) Khalimsky spaces, in their spe...
Rueiher Tsaur, Michael B. Smyth
STOC
2009
ACM
171views Algorithms» more  STOC 2009»
14 years 6 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