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Herrmann, Sven and Moulton, Vincent 
ORCID: https://orcid.org/0000-0001-9371-6435
(2012)
Trees, tight-spans and point configurations.
Discrete Mathematics, 312 (16).
pp. 2506-2521.
ISSN 1872-681X
Abstract
Tight-spans of metrics were first introduced by Isbell in 1964 and rediscovered and studied by others, most notably by Dress in 1984, who gave them this name. Subsequently, it has been found that tight-spans can be defined for more general maps, such as directed metrics and distances, and more recently for diversities. In this paper, we show that all of these tight-spans, as well as some related constructions, can be defined in terms of point configurations. This provides a useful way in which to study these objects in a unified and systematic way. We also show that by using point configurations we can recover results concerning one-dimensional tight-spans for all of the maps we consider, as well as extending these and other results to more general maps such as symmetric and asymmetric maps.
| Item Type: | Article |
|---|---|
| Faculty \ School: | Faculty of Science > School of Computing Sciences |
| UEA Research Groups: | Faculty of Science > Research Groups > Norwich Epidemiology Centre Faculty of Medicine and Health Sciences > Research Groups > Norwich Epidemiology Centre Faculty of Science > Research Groups > Computational Biology Faculty of Science > Research Groups > Computational Biology > Computational biology of RNA (former - to 2018) Faculty of Science > Research Groups > Computational Biology > Phylogenetics (former - to 2018) |
| Depositing User: | Users 2731 not found. |
| Date Deposited: | 13 Nov 2012 12:45 |
| Last Modified: | 15 Jun 2023 23:36 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/40090 |
| DOI: | 10.1016/j.disc.2012.05.003 |
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