Vertex-isoperimetric inequality in a grid
= Vertex-isoperimetric inequality in a grid
Among vertex subsets of $[k]^d$ with a fixed cardinality, initial segments of the <simplicial order on a grid> minimize the external vertex boundary.
= Vertex-isoperimetric inequality in a grid
Among vertex subsets of $[k]^d$ with a fixed cardinality, initial segments of the <simplicial order on a grid> minimize the external vertex boundary.