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Abstract (2006)

Abstract
The Borsuk-Ulam theorem has many applications in algebraic topology, algebraic geomtry, and combinatorics. Here we study some combinatorial consequences, typically asserting the existence of a certain combinatorial object. An interesting aspect is the computational complexity of algorithms that search for the object. The study of these algorithms is facilitated by direct combinatorial existence proofs that bypass Borsuk-Ulam. 1

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Download http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.79.3749
Source http://www.cs.rutgers.edu/~steiger/part5.pdf
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Repository CiteSeerX - Scientific Literature Digital Library and Search Engine (United States)
Type text
Language English