Balanced simplicial complex associated with 1 × p polyomino
Đorđe Barlić, Edin Liđan · 2023
Balanced simplicial complexes are important objects in combinatorics and commutative algebra.A d-dimensional simplicial complex is balanced if its vertices can be coloured into d+1 colors, so there is no monochromatic edge.In this article, we establish two results concerning balanced simplicial complexes assigned to tilings of m × n board in a plane and a torus by I p-omino tile.