English

A Travel-Time Metric

Metric Geometry 2015-07-03 v1

Abstract

Inspired by the question of whether one can create a visually informative map in which distances reflect travel-times rather than physical proximity, we examine whether it is possible to construct a meaningful travel time function between points in a region. We argue that such a function should constitute a mathematical metric, and we offer a reasonable candidate using a max-min approach.

Cite

@article{arxiv.1507.00335,
  title  = {A Travel-Time Metric},
  author = {Kenneth Halpern},
  journal= {arXiv preprint arXiv:1507.00335},
  year   = {2015}
}

Comments

9 pages, no figures

R2 v1 2026-06-22T10:03:59.676Z