Labeled Chip-Firing on Binary Trees with 2 n- 1 Chips

Gregg Musiker; Son Nguyen

doi:10.1007/s00026-023-00680-0

Labeled Chip-Firing on Binary Trees with 2 ⁿ- 1 Chips

Gregg Musiker
, Son Nguyen

School of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We study labeled chip-firing on binary trees starting with 2ⁿ-1 chips initially placed at the root. We prove a sorting property of terminal configurations of the process. We also analyze the end game moves poset and prove that this poset is a modular lattice.

Original language	English (US)
Pages (from-to)	1167-1197
Number of pages	31
Journal	Annals of Combinatorics
Volume	28
Issue number	4
DOIs	https://doi.org/10.1007/s00026-023-00680-0
State	Published - Dec 2024

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023.

Keywords

Binary tree
Confluence
Labeled chip-firing
Lattice poset

Publisher link

10.1007/s00026-023-00680-0

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Cite this

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title = "Labeled Chip-Firing on Binary Trees with 2 n- 1 Chips",

abstract = "We study labeled chip-firing on binary trees starting with 2n-1 chips initially placed at the root. We prove a sorting property of terminal configurations of the process. We also analyze the end game moves poset and prove that this poset is a modular lattice.",

keywords = "Binary tree, Confluence, Labeled chip-firing, Lattice poset",

author = "Gregg Musiker and Son Nguyen",

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KW - Lattice poset

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