Claesson, Anders and Tenner, Bridget Eileen and Ulfarsson, Henning (2016) Coincidence among families of mesh patterns. Working paper. arXiv.org, United States.
Claesson_etal_Arxiv_2014_Coincidence_among_families_of_mesh_patterns.pdf - Final Published Version
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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.
|Item type:||Monograph (Working paper)|
|Keywords:||discrete mathematics, mesh patterns, pattern coincidence, Mathematics, Discrete Mathematics and Combinatorics|
|Subjects:||Science > Mathematics|
|Department:||Faculty of Science > Computer and Information Sciences|
|Depositing user:||Pure Administrator|
|Date Deposited:||13 Feb 2015 11:43|
|Last modified:||18 Apr 2017 19:48|