Authors: Lidan, Edin
Baralić, Đorđe 
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: HOMOLOGY OF POLYOMINO TILINGS ON FLAT SURFACES
Journal: Applicable Analysis and Discrete Mathematics
Issue Date: 1-Jan-2022
Rank: M22
ISSN: 1452-8630
DOI: 10.2298/AADM210307031L
Abstract: 
The homology group of a tiling introduced by M. Reid is studied for certain topological tilings. As in the planar case, for finite square grids on topological surfaces, the method of homology groups, namely the non-triviality of some specific element in the group allows a ‘coloring proof’ of impossibility of a tiling. Several results about the non-existence of polyomino tilings on certain square-tiled surfaces are proved in the paper
Keywords: Combinatorial grids | Flat surfaces | Homology group of tiling | Polyomino
Publisher: University of Belgrade, School of Electrical Engineering

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