Theoretical Aspects of Generating Instances with Unique Solutions: Pre-assignment Models for Unique Vertex Cover

T Horiyama, Y Kobayashi, H Ono, K Seto… - Proceedings of the AAAI …, 2024‏ - ojs.aaai.org
The uniqueness of an optimal solution to a combinatorial optimization problem attracts many
fields of researchers' attention because it has a wide range of applications, it is related to …

Winner determination algorithms for graph games with matching structures

K Yoshiwatari, H Kiya, T Hanaka, H Ono - International Workshop on …, 2022‏ - Springer
Abstract Cram, Domineering, and Arc Kayles are well-studied combinatorial games. They
are interpreted as edge-selecting-type games on graphs, and the selected edges during a …

Winner determination algorithms for graph games with matching structures

T Hanaka, H Kiya, H Ono, K Yoshiwatari - Algorithmica, 2024‏ - Springer
Abstract Cram, Domineering, and Arc Kayles are well-studied combinatorial games. They
are interpreted as edge-selecting-type games on graphs, and the selected edges during a …

Impartial intersection restriction games

MA Huggan - 2015‏ - repository.library.carleton.ca
Intersection restriction games are games played on hypergraphs in which options for a
player are restricted based on previous play via some intersection property. This paper …

Faster Winner Determination Algorithms for (Colored) Arc Kayles

T Hanaka, H Kiya, M Lampis, H Ono… - … Conference on Current …, 2024‏ - Springer
Abstract Arc Kayles and Colored Arc Kayles, two-player games on a graph, are generalized
versions of well-studied combinatorial games Cram and Domineering, respectively. In Arc …

On structural parameterizations of node kayles

Y Kobayashi - Discrete and Computational Geometry, Graphs, and …, 2021‏ - Springer
Node Kayles is a well-known two-player impartial game on graphs: Given an undirected
graph, each player alternately chooses a vertex not adjacent to previously chosen vertices …

[PDF][PDF] Criticalité, identification et jeux de suppression de sommets dans les graphes

AGP DAILLY‏ - hal.science
Résumé Dans cette thèse, nous étudions des problématiques de graphes et de jeux
combinatoires. Il existe de nombreux liens entre ces deux domaines: ainsi, les jeux sont un …

[PDF][PDF] Criticality, identification and vertex deletion games on graphs

A Dailly - Theses Université de Lyon, 2018‏ - daillya.github.io
In this thesis, we study both graphs and combinatorial games. There are several links
between those two domains: games are useful for modeling an opponent in optimization …

[PDF][PDF] Winner Determination Algorithms for Colored Arc Kayles

K Yoshiwatari, H Kiya, T Hanaka, H Ono - 2022‏ - ipsj.ixsq.nii.ac.jp
Cram, Domineering, and Arc Kayles are well-studied combinatorial games. They are
interpreted as edgeselecting-type games on graphs, and the selected edges during a game …

Criticalité, identification et jeux de suppression de sommets dans les graphes: Des étoiles plein les jeux

A Dailly - 2018‏ - theses.hal.science
Dans cette thèse, nous étudions des problématiques de graphes et de jeux combinatoires. Il
existe de nombreux liens entre ces deux domaines: ainsi, les jeux sont un bon moyen de …