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Isoperimetric Inequalities on Hexagonal Grids by Grußien, Berit is a scholarly article available to read on EtoBox.

What is Isoperimetric Inequalities on Hexagonal Grids about?

We consider the edge- and vertex-isoperimetric probem on finite and infinite hexagonal grids: For a subset W of the hexagonal grid of given cardinality, we give a lower bound for the number of edges between W and its complement, and lower bounds for the number of vertices in the neighborhood of W and for the number of vertices in the boundary of W. For the infinite hexagonal grid the given bounds are tight.

Author

Grußien, Berit

Published

2012

Language

EN