Work

Reconfiguration and enumeration of optimal cyclic ladder lotteries

Year: 2025

Type: article

Abstract: A ladder lottery , known as “Amidakuji” in Japan, is a common way to decide an assignment at random. In this paper, we investigate reconfiguration and enumeration problems of cyclic ladder lotteries. First, when a permutation π and an optimal displacement vector x are given, we investigate the reconfiguration and enumeration problems of the “optimal” cyclic ladder lotteries of π and x . Next, for a given permutation π we consider reconfiguration and enumeration problems of the optimal displacement vectors of π .

Source: Theoretical Computer Science

DOI: 10.1016/j.tcs.2025.115434

Authors: Yuta Nozaki, Kunihiro Wasa, Katsuhisa Yamanaka

Institutions: Yokohama National University, Hosei University, Iwate University

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,880

Funders: Tokai University, Japan Society for the Promotion of Science