Skip to main contentSkip to search
Episciences
Open Access Journals
Sign in(new window)
Discrete Mathematics & Theoretical Computer Science logo
Discrete Mathematics & Theoretical Computer Science
Discrete Mathematics & Theoretical Computer Science logo
Discrete Mathematics & Theoretical Computer Science
Sign in(new window)
Articles & Issues
All articlesAll accepted articlesAll volumesLast volumeSectionsSpecial issuesAuthors
About
The journalIndexing
Boards
Publish
For authorsEthical charter
Submit
Discrete Mathematics & Theoretical Computer Science logo
Contact
|
Credits
eISSN 1365-8050
|
RSS
|
Atom
Episciences
Documentation
|
Acknowledgements
|
Publishing policy
Accessibility: non-compliant
|
Legal mentions
|
Privacy statement
|
Terms of use
  1. Home > Articles & Issues >
  2. Articles >
  3. An Involution Princi ...
Article

An Involution Principle-Free Bijective Proof of Stanley's Hook-Content Formula

Christian Krattenthaler (1)
(1) Fakultät für Mathematik [Wien]
Download article
Open on HAL
Imported on
March 26, 2015
Published on
January 1, 1998
Last modified on
March 31, 2025
Volume 3
vol. 3:1
DOI
10.46298/dmtcs.258
License
https://about.hal.science/hal-authorisation-v1
Indicators
1077
Views
1183
Downloads

An Involution Principle-Free Bijective Proof of Stanley's Hook-Content Formula

Christian Krattenthaler (1)
(1) Fakultät für Mathematik [Wien]
Abstract
A bijective proof for Stanley's hook-content formula for the generating function for column-strict reverse plane partitions of a given shape is given that does not involve the involution principle of Garsia and Milne. It is based on the Hillman-Grassl algorithm and Schützenberger's \emphjeu de taquin.
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • Stanley's Hook-Content Formula
Cited by

Source: OpenCitations

  • Another Involution Principle-Free Bijective Proof of Stanley's Hook-Content Formula

    Journal of Combinatorial Theory Series A

    Authors : C. Krattenthaler ORCID

    Journal reference : Volume 88, 1999, pp. 66-92

    DOI : 10.1006/jcta.1999.2979

  • Hook formulas for skew shapes I. q-analogues and bijections

    Journal of Combinatorial Theory Series A

    Authors : Alejandro H. Morales ORCID, Igor Pak ORCID, Greta Panova ORCID

    Journal reference : Volume 154, 2017, pp. 350-405

    DOI : 10.1016/j.jcta.2017.09.002

  • A bijective proof of the hook-length formula for skew shapes

    European Journal of Combinatorics

    Authors : Matjaž Konvalinka ORCID

    Journal reference : Volume 88, 2020, pp. 103104

    DOI : 10.1016/j.ejc.2020.103104
Preview
Loading PDF preview...