---
res:
  bibo_abstract:
  - Given a locally finite set A⊆Rd and a coloring χ:A→{0,1,…,s}, we introduce the
    chromatic Delaunay mosaic of χ, which is a Delaunay mosaic in Rs+d that represents
    how points of different colors mingle. Our main results are bounds on the size
    of the chromatic Delaunay mosaic, in which we assume that d and s are constants.
    For example, if A is finite with n=#A, and the coloring is random, then the chromatic
    Delaunay mosaic has O(n⌈d/2⌉) cells in expectation. In contrast, for Delone sets
    and Poisson point processes in Rd, the expected number of cells within a closed
    ball is only a constant times the number of points in this ball. Furthermore,
    in R2 all colorings of a dense set of n points have chromatic Delaunay mosaics
    of size O(n). This encourages the use of chromatic Delaunay mosaics in applications.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Ranita
      foaf_name: Biswas, Ranita
      foaf_surname: Biswas
      foaf_workInfoHomepage: http://www.librecat.org/personId=3C2B033E-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-5372-7890
  - foaf_Person:
      foaf_givenName: Sebastiano
      foaf_name: Cultrera di Montesano, Sebastiano
      foaf_surname: Cultrera di Montesano
      foaf_workInfoHomepage: http://www.librecat.org/personId=34D2A09C-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0001-6249-0832
  - foaf_Person:
      foaf_givenName: Ondrej
      foaf_name: Draganov, Ondrej
      foaf_surname: Draganov
      foaf_workInfoHomepage: http://www.librecat.org/personId=2B23F01E-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0003-0464-3823
  - 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: Morteza
      foaf_name: Saghafian, Morteza
      foaf_surname: Saghafian
      foaf_workInfoHomepage: http://www.librecat.org/personId=f86f7148-b140-11ec-9577-95435b8df824
  dct_date: 2022^xs_gYear
  dct_language: eng
  dct_title: On the size of chromatic Delaunay mosaics@
...
