---
res:
  bibo_abstract:
  - 'In 1945, A.W. Goodman and R.E. Goodman proved the following conjecture by P.
    Erdős: Given a family of (round) disks of radii r1, … , rn in the plane, it is
    always possible to cover them by a disk of radius R= ∑ ri, provided they cannot
    be separated into two subfamilies by a straight line disjoint from the disks.
    In this note we show that essentially the same idea may work for different analogues
    and generalizations of their result. In particular, we prove the following: Given
    a family of positive homothetic copies of a fixed convex body K⊂ Rd with homothety
    coefficients τ1, … , τn> 0 , it is always possible to cover them by a translate
    of d+12(∑τi)K, provided they cannot be separated into two subfamilies by a hyperplane
    disjoint from the homothets.@eng'
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Arseniy
      foaf_name: Akopyan, Arseniy
      foaf_surname: Akopyan
      foaf_workInfoHomepage: http://www.librecat.org/personId=430D2C90-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-2548-617X
  - foaf_Person:
      foaf_givenName: Alexey
      foaf_name: Balitskiy, Alexey
      foaf_surname: Balitskiy
  - foaf_Person:
      foaf_givenName: Mikhail
      foaf_name: Grigorev, Mikhail
      foaf_surname: Grigorev
  bibo_doi: 10.1007/s00454-017-9883-x
  bibo_issue: '4'
  bibo_volume: 59
  dct_date: 2018^xs_gYear
  dct_identifier:
  - UT:000432205500011
  dct_isPartOf:
  - http://id.crossref.org/issn/0179-5376
  - http://id.crossref.org/issn/1432-0444
  dct_language: eng
  dct_publisher: Springer@
  dct_title: On the circle covering theorem by A.W. Goodman and R.E. Goodman@
...