The Borsuk-Ulam-property, Tucker-property and constructive proofs in combinatorics

نویسندگان

  • Mark de Longueville
  • Rade T. Zivaljevic
چکیده

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.

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عنوان ژورنال:
  • J. Comb. Theory, Ser. A

دوره 113  شماره 

صفحات  -

تاریخ انتشار 2006