A bijectionist's toolkit

Grosz, Alexander Josef; Kietreiber, Tobias; Pfannerer-Mittas, Stephan Heinz; Rubey, Martin

Record link:

http://hdl.handle.net/20.500.12708/192356

Title:

Citation:

Grosz, A. J., Kietreiber, T., Pfannerer-Mittas, S. H., & Rubey, M. (2023). A bijectionist’s toolkit. In Proceedings of the 35th International Conference on “Formal Power Series and Algebraic Combinatorics” (pp. 9–17). http://hdl.handle.net/20.500.12708/192356

Publication Type:

Inproceedings - Full-Paper Contribution

Language:

English

Authors:

Grosz, Alexander Josef
Kietreiber, Tobias
Pfannerer-Mittas, Stephan Heinz
Rubey, Martin

Organisational Unit:

E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie

Published in:

Proceedings of the 35th International Conference on "Formal Power Series and Algebraic Combinatorics"

Volume:

89B

Date (published):

2023

Event name:

35th International Conference on "Formal Power Series and Algebraic Combinatorics"

Event date:

17-Jul-2023 - 21-Jul-2023

Event place:

Davis, United States of America (the)

Number of Pages:

Keywords:

bijective combinatorics

Abstract:

We present a tool, integrated into SageMath 10.0, which supports the combinatorialist in the discovery of an explicit bijection between two finite sets given various constraints, or by demonstrating that no such bijection can exist. As an application we present a conjecture which may have been hard to discover otherwise.

Project title:

Das Phänomen des zyklischen Siebens: P29275-N35 (FWF - Österr. Wissenschaftsfonds)

Link (external):

https://www.youtube.com/watch?v=-chgF11CgzI&list=PLC5grzm_SlsdhMsyFsgrEpDwyrhwMPZUF&index=7

Research Areas:

Fundamental Mathematics Research: 100%

Science Branch:

1010 - Mathematik: 100%

Appears in Collections:

Conference Paper

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