English

Finding a Unique Solution to Radon-Kaczmarz Puzzles

Combinatorics 2018-12-07 v1 History and Overview

Abstract

Solving a Radon-Kaczmarz puzzle involves filling a square grid with positive integers, each between one and nine, satisfying certain clues coming from the sum of entries that lie on the same line in the square grid. Given a set of slopes (of a particular order) that define clues of Radon-Kaczmarz puzzles, we give an upper bound of the size such that any solvable Radon-Kaczmarz puzzle whose size is less than or equal to that is uniquely solvable.

Cite

@article{arxiv.1812.02219,
  title  = {Finding a Unique Solution to Radon-Kaczmarz Puzzles},
  author = {Steven Rossi and Xiao Xiao},
  journal= {arXiv preprint arXiv:1812.02219},
  year   = {2018}
}
R2 v1 2026-06-23T06:33:14.482Z