Tight span of path connected subsets of the Manhattan plane
نویسندگان
چکیده
We show that the tight span of a path connected subset Manhattan plane can be constructed in very simple way by “hatching” horizontal and vertical directions then taking closure resulting set.
منابع مشابه
Optimally fast incremental Manhattan plane embedding and planar tight span construction
We describe a data structure, a rectangular complex, that can be used to represent hyperconvex metric spaces that have the same topology (although not necessarily the same distance function) as subsets of the plane. We show how to use this data structure to construct the tight span of a metric space given as an n × n distance matrix, when the tight span is homeomorphic to a subset of the plane,...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2022
ISSN: ['1879-3207', '0166-8641']
DOI: https://doi.org/10.1016/j.topol.2022.108326