Showing 155–168 of 26,903 results for "Érika Akemi Tsujiguchi Bernardi"

Journals 2025 UN

Preface

Alessandra Bernardi · Claudio Fontanari
Springer Science+Business Media
Journals 2025 EN

Complexity of chess domination problems

Alexis Langlois-Rémillard · Mia Müßig · Érika Róldan

We study different domination problems of attacking and non-attacking rooksand queens on polyominoes and polycubes of all dimensions. Our main resultproves that maximum independent domination is NP-complete for non-attackingqueens and for non-attacking rooks on polycubes of dimension three and higher.We also analyze these problems for polyominoes and convex polyominoes,conjecture the complexity classes, and provide a computer tool forinvestigation. We have also computed new values for classical queen dominationproblems on chessboards (square polyominoes). For our computations, we havetranslated the problem into an integer linear programming instance. Finally,using this computational implementation and the game engine Godot, we havedeveloped a video game of minimum domination of queens and rooks on randomlygenerated polyominoes.

Springer Nature