eprintid: 10192075
rev_number: 8
eprint_status: archive
userid: 699
dir: disk0/10/19/20/75
datestamp: 2024-05-09 15:37:44
lastmod: 2024-05-09 15:37:44
status_changed: 2024-05-09 15:37:44
type: article
metadata_visibility: show
sword_depositor: 699
creators_name: Deb, B
creators_name: Sokal, AD
title: A Remark on Continued Fractions for Permutations and D-Permutations with a Weight −1 per Cycle
ispublished: pub
divisions: UCL
divisions: B04
divisions: C06
divisions: F59
note: This work is licensed under a Creative Commons Attribution 4.0 International (CC BY 4.0) License.
abstract: We show that very simple continued fractions can be obtained for the ordinary generating functions enumerating permutations or D-permutations with a large number of independent statistics, when each cycle is given a weight −1. The proof is based on a simple lemma relating the number of cycles modulo 2 to the numbers of fixed points, cycle peaks (or cycle valleys), and crossings.
date: 2024-04-19
date_type: published
publisher: The Electronic Journal of Combinatorics
official_url: https://doi.org/10.37236/12149
oa_status: green
full_text_type: pub
language: eng
primo: open
primo_central: open_green
verified: verified_manual
elements_id: 2273559
doi: 10.37236/12149
lyricists_name: Sokal, Alan
lyricists_id: ADSOK62
actors_name: Flynn, Bernadette
actors_id: BFFLY94
actors_role: owner
full_text_status: public
publication: Electronic Journal of Combinatorics
volume: 31
number: 2
article_number: P2.14
issn: 1077-8926
citation:        Deb, B;    Sokal, AD;      (2024)    A Remark on Continued Fractions for Permutations and D-Permutations with a Weight −1 per Cycle.                   Electronic Journal of Combinatorics , 31  (2)    , Article P2.14.  10.37236/12149 <https://doi.org/10.37236/12149>.       Green open access   
 
document_url: https://discovery.ucl.ac.uk/id/eprint/10192075/1/12149-PDF%20file-49261-1-10-20240409.pdf