Authors: | de Longueville, Mark Živaljević, Rade |
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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