|Authors:||de Longueville, Mark
|Affiliations:||Mathematical Institute of the Serbian Academy of Sciences and Arts||Title:||The Borsuk-Ulam-property, Tucker-property and constructive proofs in combinatorics||Journal:||Journal of Combinatorial Theory. Series A||Volume:||113||Issue:||5||First page:||839||Last page:||850||Issue Date:||1-Jan-2006||Rank:||M22||ISSN:||0097-3165||DOI:||10.1016/j.jcta.2005.08.002||Abstract:||
This article is concerned with a general scheme on how to obtain constructive proofs for combinatorial theorems that have topological proofs so far. To this end the combinatorial concept of Tucker-property of a finite group G is introduced and its relation to the topological Borsuk-Ulam-property is discussed. Applications of the Tucker-property in combinatorics are demonstrated.
|Keywords:||Borsuk-Ulam-property | Borsuk-Ulam-theorem | Consensus partitions | Constructive proofs | Tucker-property||Publisher:||Elsevier||Project:||Serbian Ministry of Science and Technology, Grant no. 1643|
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