Work

Small examples of mosaics of combinatorial designs

Year: 2024

Type: article

Abstract: We give the first example of a mosaic of three combinatorial designs with distinct parameters 2- ( 13 , 3 , 1 ) , 2- ( 13 , 4 , 2 ) , and 2- ( 13 , 6 , 5 ) . Furthermore, we give examples of mosaics of 2- ( 9 , 3 , 2 ) designs that are not resolvable, thereby answering a question posed by M. Wiese and H. Boche. Finally, we give an example of a mosaic of projective planes of order 3 that cannot be obtained by tiling groups with difference sets.

Source: Examples and Counterexamples

DOI: 10.1016/j.exco.2024.100163

Author: Vedran Krčadinac

Institution: University of Zagreb

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $330

Funder: Hrvatska Zaklada za Znanost