Freezing Sets for Arbitrary Digital Dimension

TL;DR

This paper presents a method to construct freezing sets for digital images in any dimension using specific adjacency relations, advancing the understanding of digital topology.

Contribution

It introduces a general approach to obtain freezing sets in higher-dimensional digital images with $c_1$ and $c_n$ adjacencies.

Findings

Provides a systematic way to find freezing sets in $ extbf{Z}^n$

Extends previous results to arbitrary dimensions

Enhances tools for digital image analysis

Abstract

We show how to obtain freezing sets for digital images in $\mathbb{Z}^n$ for arbitrary $n$, using the $c_1$ and $c_n$ adjacencies.