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MOHAJER-DISSERTATION-2018.pdf (4.66 MB)

Upper Bounds on the Density of Two Radius Packings of Disks in the Plane

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posted on 2019-02-01, 00:00 authored by Ali Mohajer
A new upper density bound on two-radius packings of disks in the plane is presented at a homogeneity which does not admit compact packings.

History

Advisor

Shalen, Peter B

Chair

Shalen, Peter B

Department

Mathematics, Statistics, and Computer Science

Degree Grantor

University of Illinois at Chicago

Degree Level

  • Doctoral

Committee Member

Culler, Marc Dumas, David Groves, Daniel Takloo-Bighash, Ramin Kennedy, Thomas G

Submitted date

December 2018

Issue date

2018-09-10

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    Keywords

    PackingDisk PackingDisk Packing in the PlaneTwo-radius PackingPacking DensityBinary PackingUpper Density BoundDelaunay TriangulationSurfeitAdjusted SurfeitSaturated Packing

    Licence

    In Copyright

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