Shadows of Newton polytopes

Pavel Hrubeš, Amir Yehudayoff

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We define the shadow complexity of a polytope P as the maximum number of vertices in a linear projection of P to the plane. We describe connections to algebraic complexity and to parametrized optimization. We also provide several basic examples and constructions, and develop tools for bounding shadow complexity.

Original languageEnglish
Title of host publicationComputational Complexity Conference
EditorsValentine Kabanets
Pages1-23
Number of pages23
ISBN (Electronic)9783959771931
DOIs
StatePublished - 1 Jul 2021
Event36th Computational Complexity Conference, CCC 2021 - Virtual, Toronto, Canada
Duration: 20 Jul 202123 Jul 2021

Publication series

NameLeibniz International Proceedings in Informatics, LIPIcs
Volume200

Conference

Conference36th Computational Complexity Conference, CCC 2021
Country/TerritoryCanada
CityVirtual, Toronto
Period20/07/2123/07/21

Keywords

  • Monotone arithmetic circuit
  • Newton polytope

All Science Journal Classification (ASJC) codes

  • Software

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