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STOC 2024: Proceedings of the 56th Annual ACM Symposium on Theory of Computing
ACM2024 Proceeding
Publisher:
  • Association for Computing Machinery
  • New York
  • NY
  • United States
Conference:
STOC '24: 56th Annual ACM Symposium on Theory of Computing Vancouver BC Canada June 24 - 28, 2024
ISBN:
979-8-4007-0383-6
Published:
11 June 2024
Sponsors:

Bibliometrics
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Abstract

The papers in this volume were presented at the 56th Annual ACM Symposium on Theory of Computing (STOC 2024), sponsored by the ACM Special Interest Group on Algorithms and Computation Theory (SIGACT). The conference was held in Vancouver, Canada, June 24--28, 2024, with the papers being presented as live talks.

SESSION: 5C
research-article
Open Access
The Asymptotic Rank Conjecture and the Set Cover Conjecture Are Not Both True

Strassen’s asymptotic rank conjecture [Progr. ‍Math. ‍120 ‍(1994)] claims a strong submultiplicative upper bound on the rank of a three-tensor obtained as an iterated Kronecker product of a constant-size base tensor. The conjecture, if true, most notably ...

research-article
Open Access
A Stronger Connection between the Asymptotic Rank Conjecture and the Set Cover Conjecture

We give a short proof that Strassen’s asymptotic rank conjecture implies that for every ε > 0 there exists a (3/22/3 + ε)n-time algorithm for set cover on a universe of size n with sets of bounded size. This strengthens and simplifies a recent result of ...

research-article
Open Access
Equality Cases of the Alexandrov–Fenchel Inequality Are Not in the Polynomial Hierarchy

Describing the equality conditions of the Alexandrov–Fenchel inequality has been a major open problem for decades. We prove that for a natural class of convex polytopes, the equality cases of the AF inequality are not in unless the polynomial hierarchy ...

research-article
Open Access
Semigroup Algorithmic Problems in Metabelian Groups

We consider semigroup algorithmic problems in finitely generated metabelian groups. Our paper focuses on three decision problems introduced by Choffrut and Karhum'aki (2005): the Identity Problem (does a semigroup contain a neutral element?), the Group ...

research-article
Open Access
The Complexity of Computing KKT Solutions of Quadratic Programs

It is well known that solving a (non-convex) quadratic program is NP-hard. We show that the problem remains hard even if we are only looking for a Karush-Kuhn-Tucker (KKT) point, instead of a global optimum. Namely, we prove that computing a KKT point of ...

research-article
Open Access
Minimum Star Partitions of Simple Polygons in Polynomial Time

We devise a polynomial-time algorithm for partitioning a simple polygon P into a minimum number of star-shaped polygons. The question of whether such an algorithm exists has been open for more than four decades [Avis and Toussaint, Pattern Recognit., ...

Contributors
  • Simon Fraser University
  • Carnegie Mellon University

Index Terms

  1. Proceedings of the 56th Annual ACM Symposium on Theory of Computing

    Recommendations

    Acceptance Rates

    Overall Acceptance Rate 1,469 of 4,586 submissions, 32%
    YearSubmittedAcceptedRate
    STOC '153479327%
    STOC '143199129%
    STOC '1336010028%
    STOC '113048428%
    STOC '083258025%
    STOC '032708030%
    STOC '022879132%
    STOC '012308336%
    STOC '001828547%
    STOC '981697544%
    STOC '972117536%
    STOC '962017437%
    STOC '891965629%
    STOC '881925328%
    STOC '871655030%
    STOC '801254738%
    STOC '791113733%
    STOC '781203832%
    STOC '77873136%
    STOC '76833036%
    STOC '75873136%
    STOC '74953537%
    STOC '71502346%
    STOC '70702739%
    Overall4,5861,46932%