--- res: bibo_abstract: - We introduce the Voronoi functional of a triangulation of a finite set of points in the Euclidean plane and prove that among all geometric triangulations of the point set, the Delaunay triangulation maximizes the functional. This result neither extends to topological triangulations in the plane nor to geometric triangulations in three and higher dimensions.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Herbert foaf_name: Edelsbrunner, Herbert foaf_surname: Edelsbrunner foaf_workInfoHomepage: http://www.librecat.org/personId=3FB178DA-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-9823-6833 - foaf_Person: foaf_givenName: Alexey foaf_name: Glazyrin, Alexey foaf_surname: Glazyrin - foaf_Person: foaf_givenName: Oleg foaf_name: Musin, Oleg foaf_surname: Musin - foaf_Person: foaf_givenName: Anton foaf_name: Nikitenko, Anton foaf_surname: Nikitenko foaf_workInfoHomepage: http://www.librecat.org/personId=3E4FF1BA-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-0659-3201 bibo_doi: 10.1007/s00493-016-3308-y bibo_issue: '5' bibo_volume: 37 dct_date: 2017^xs_gYear dct_identifier: - UT:000418056000005 dct_isPartOf: - http://id.crossref.org/issn/02099683 dct_language: eng dct_publisher: Springer@ dct_title: The Voronoi functional is maximized by the Delaunay triangulation in the plane@ ...