Picture of smart phone in human hand

World leading smartphone and mobile technology research at Strathclyde...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by Strathclyde researchers from the Department of Computer & Information Sciences involved in researching exciting new applications for mobile and smartphone technology. But the transformative application of mobile technologies is also the focus of research within disciplines as diverse as Electronic & Electrical Engineering, Marketing, Human Resource Management and Biomedical Enginering, among others.

Explore Strathclyde's Open Access research on smartphone technology now...

Coincidence among families of mesh patterns

Claesson, Anders and Tenner, Bridget Eileen and Ulfarsson, Henning (2016) Coincidence among families of mesh patterns. Working paper. arXiv.org, United States.

[img]
Preview
PDF (Claesson-etal-Arxiv-2014-Coincidence-among-families-of-mesh-patterns)
Claesson_etal_Arxiv_2014_Coincidence_among_families_of_mesh_patterns.pdf - Final Published Version

Download (251kB) | Preview

Abstract

Two mesh patterns are coincident if they are avoided by the same set of permutations. In this paper, we provide necessary conditions for this coincidence, which include having the same set of enclosed diagonals. This condition is sufficient to prove coincidence of vincular patterns, although it is not enough to guarantee coincidence of bivincular patterns. In addition, we provide a generalization of the Shading Lemma (Hilmarsson et al.), a result that examined when a square could be added to the mesh of a pattern.