Parking Functions of Types A and B

P. Biane

doi:10.37236/1668

journal article Sep 30, 2001

Parking Functions of Types A and B

P. Biane

The Electronic Journal of Combinatorics Vol. 9 No. 1 · The Electronic Journal of Combinatorics

View at Publisher Save 10.37236/1668

Abstract

The lattice of noncrossing partitions can be embedded into the Cayley graph of the symmetric group. This allows us to rederive connections between noncrossing partitions and parking functions. We use an analogous embedding for type B non-crossing partitions in order to answer a question raised by R. Stanley on the edge labeling of the type B non-crossing partitions lattice.

Topics

No keywords indexed for this article. Browse by subject →

Metrics

11

Citations

0

References

Details

Published: Sep 30, 2001
Vol/Issue: 9(1)

Authors

P

P. Biane

Cite This Article

P. Biane (2001). Parking Functions of Types A and B. The Electronic Journal of Combinatorics, 9(1). https://doi.org/10.37236/1668

Parking Functions of Types A and B

You May Also Like