Steiner's Invariants and Minimal Connections

• Published in: Portugaliae Mathematica, vol. 65, num. 2, p. 237–242
• Publication date: 2008

The aim of this note is to prove that any compact metric space can be made connected at a minimal cost, where the cost is taken to be the one-dimensional Hausdorff measure.

Keywords: Metric geometry ; Steiner invariant.

Reference

• GR-TR-ARTICLE-2008-004
• doi:NA

• URL: http://www.ems-ph.org/journals/show_abstract.php?issn=0032-5155&vol=65&iss=2&rank=5

Record created on 2008-04-22, modified on 2012-03-21