An Isoperimetric Inequality for Planar Triangulations
An Isoperimetric Inequality for Planar Triangulations
About this item
Full title
An Isoperimetric Inequality for Planar Triangulations
Author / Creator
Publisher
New York: Springer US
Journal title
Discrete & computational geometry, 2018-06, Vol.59 (4), p.802-809
Language
English
Formats
Publication information
Publisher
New York: Springer US
Subjects
More information
Scope and Contents
Contents
We prove a discrete analogue to a classical isoperimetric theorem of Weil for surfaces with non-positive curvature. It is shown that hexagons in the triangular lattice have maximal volume among all sets of a given boundary in any triangulation with minimal degree 6.
Alternative Titles
Full title
An Isoperimetric Inequality for Planar Triangulations
Authors, Artists and Contributors
Author / Creator
Identifiers
Primary Identifiers
Record Identifier
TN_cdi_proquest_journals_2038574902
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2038574902
Other Identifiers
ISSN
0179-5376
E-ISSN
1432-0444
DOI
10.1007/s00454-017-9942-3
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