Opening book details…
Can I read Bijections between pattern-avoiding fillings of Young diagrams on EtoBox?
Bijections between pattern-avoiding fillings of Young diagrams by Matthieu Josuat-Vergès is a Mathematics article available to read on EtoBox.
What is Bijections between pattern-avoiding fillings of Young diagrams about?
The pattern-avoiding fillings of Young diagrams we study arose from Postnikov's work on positive Grassmann cells. They are called L-diagrams, and are in bijection with decorated permutations. Other closely-related fillings are interpreted as acyclic orientations of some bipartite graphs. The definition of the diagrams is the same but the avoided patterns are different. We give here bijections proving that the number of pattern-avoiding filling of a Young diagram is the same, for these two different sets of patterns. The result was obtained by Postnikov via a recurrence relation. This relation was extended by Spiridonov to obtain more general results about other patterns and other polyominoes than Young diagrams, and we show that our bijections also extend to more general polyominoes.
Who reads Bijections between pattern-avoiding fillings of Young diagrams?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Matthieu Josuat-Vergès
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0097-3165)
- Published
- 2010
- Language
- EN
- Field
- Mathematics (Physical Sciences)