A bijection for switching all crossing and nesting numbers for a subclass of matchings, set partitions, and permutations, Lily Yen

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Description

For a subclass of matchings, set partitions, and permutations, we describe a direct bijection involving only arc annotated diagrams that not only interchanges maximum nesting and crossing numbers, but also all refinements of crossing and nesting numbers. Furthermore, we show that the bijection cannot be extended to a larger class of arc annotated diagrams.
Period19 Jul 2012
Event typeGuest talk
LocationAustriaShow on map

Fields of science

  • 101002 Analysis
  • 101013 Mathematical logic
  • 101001 Algebra
  • 101012 Combinatorics
  • 101020 Technical mathematics
  • 102 Computer Sciences
  • 101 Mathematics
  • 101009 Geometry
  • 102011 Formal languages
  • 101006 Differential geometry
  • 101005 Computer algebra
  • 101025 Number theory
  • 101003 Applied geometry
  • 102025 Distributed systems

JKU Focus areas

  • Computation in Informatics and Mathematics