Canonical Metric Representation

Wilfried Imrich, Sandi Klavzar, Douglas F Rall · 2008

In this chapter, we introduce boxes-those subgraphs of Cartesian product graphs that are products of subgraphs of the factors. We first prove the so-called Square Property and use it to characterize boxes. In the second section, we show that convex subgraphs of products are precisely boxes with convex projections, and we treat boxes related to distance centers and non-expansive mappings.

Read the paper · More papers on PaperTik