Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 59: Issue 1
Convexity of Distinct Sum Sets
Author:
Alexander Lemmens COSIC, Kasteelpark Arenberg 10, B-3001 Heverlee-Leuven, Belgium

Search for other papers by Alexander Lemmens in
Current site
Google Scholar
PubMed Close
Pages:
17–29
Online Publication Date:
01 Apr 2022
Publication Date:
01 Apr 2022
Article Category:
Research Article
DOI:
https://doi.org/10.1556/012.2022.01516
Keywords:
Lattice polytopes; convex geometry; combinatorics
Restricted access

We study a combinatorial notion where given a set S of lattice points one takes the set of all sums of p distinct points in S, and we ask the question: ‘if S is the set of lattice points of a convex lattice polytope, is the resulting set also the set of lattice points of a convex lattice polytope?’ We obtain a positive result in dimension 2 and a negative result in higher dimensions. We apply this to the corner cut polyhedron.

  • [1]

    Artur Andrzejak, Emo Welzl. Halving point sets. Documenta Mathematica, Extra Volume, Proceedings of the International Congress of Mathematicians III, pp. 471-478, 1998.

    • Search Google Scholar
    • Export Citation
  • [2]

    Eric Babson, Shmuel Onn, Rekha Thomas. The Hilbert Zonotope and a Polynomial Time Algorithm for Universal Gröbner Bases. Advances in applied mathematics, 30:529-544, 2003.

    • Search Google Scholar
    • Export Citation
  • [3]

    Wouter Castryck, Filip Cools, Jeroen Demeyer, Alexander Lemmens. Computing graded Betti tables of toric surfaces. Transactions of the AMS, 372:6869-6903, 2019.

    • Search Google Scholar
    • Export Citation
  • [4]

    Sylvie Corteel, Gaël Rémond, Gilles Schaeffer, Hugh Thomas. The number of plane corner cuts. Advances in Applied Mathematics, 23:49-53,1999.

    • Search Google Scholar
    • Export Citation
  • [5]

    Herbert Edelsbrunner, Pavel Valtr, and Emo Welzl. Cutting dense point sets in half. Discrete and Computational Geometry, 17:243—255, 1997.

    • Search Google Scholar
    • Export Citation
  • [6]

    Irene Müller. Corner cuts and their polytopes, Beiträge zur Algebra und Geometrie, 44:323333, 2003.

  • [7]

    Alexander Lemmens. On syzygies of Segre embeddings of 1 x 1. Communications in Algebra, 49:1235-1254, 2021.

  • [8]

    Shmuel Onn, Bernd Sturmfels. Cutting corners. Advances in Applied Mathematics, 23:2948, 1999.

  • [9]

    Ulrich Wagner. On k-sets and applications, PhD thesis, 2003.

  • Collapse
  • Expand
Cover Studia Scientiarum Mathematicarum Hungarica
Studia Scientiarum Mathematicarum Hungarica
Print ISSN:
0081-6906
Online ISSN:
1588-2896

Editors in Chief

Gábor SIMONYI (Rényi Institute of Mathematics)
András STIPSICZ (Rényi Institute of Mathematics)
Géza TÓTH (Rényi Institute of Mathematics) 

Managing Editor

Gábor SÁGI (Rényi Institute of Mathematics)

Editorial Board

  • Imre BÁRÁNY (Rényi Institute of Mathematics)
  • Károly BÖRÖCZKY (Rényi Institute of Mathematics and Central European University)
  • Péter CSIKVÁRI (ELTE, Budapest) 
  • Joshua GREENE (Boston College)
  • Penny HAXELL (University of Waterloo)
  • Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
  • Ron HOLZMAN (Technion, Haifa)
  • Satoru IWATA (University of Tokyo)
  • Tibor JORDÁN (ELTE, Budapest)
  • Roy MESHULAM (Technion, Haifa)
  • Frédéric MEUNIER (École des Ponts ParisTech)
  • Márton NASZÓDI (ELTE, Budapest)
  • Eran NEVO (Hebrew University of Jerusalem)
  • János PACH (Rényi Institute of Mathematics)
  • Péter Pál PACH (BME, Budapest)
  • Andrew SUK (University of California, San Diego)
  • Zoltán SZABÓ (Princeton University)
  • Martin TANCER (Charles University, Prague)
  • Gábor TARDOS (Rényi Institute of Mathematics)
  • Paul WOLLAN (University of Rome "La Sapienza")

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
Gábor Sági
Address: P.O. Box 127, H–1364 Budapest, Hungary
Phone: (36 1) 483 8344 ---- Fax: (36 1) 483 8333
E-mail: smh.studia@renyi.mta.hu

Indexing and Abstracting Services:

  • CABELLS Journalytics
  • CompuMath Citation Index
  • Essential Science Indicators
  • Mathematical Reviews
  • Science Citation Index Expanded (SciSearch)
  • SCOPUS
  • Zentralblatt MATH

2023  
Web of Science  
Journal Impact Factor 0.4
Rank by Impact Factor Q4 (Mathematics)
Journal Citation Indicator 0.49
Scopus  
CiteScore 1.3
CiteScore rank Q2 (General Mathematics)
SNIP 0.705
Scimago  
SJR index 0.239
SJR Q rank Q3

Studia Scientiarum Mathematicarum Hungarica
Publication Model Hybrid
Submission Fee none
Article Processing Charge 900 EUR/article (only for OA publications)
Printed Color Illustrations 40 EUR (or 10 000 HUF) + VAT / piece
Regional discounts on country of the funding agency World Bank Lower-middle-income economies: 50%
World Bank Low-income economies: 100%
Further Discounts Editorial Board / Advisory Board members: 50%
Corresponding authors, affiliated to an EISZ member institution subscribing to the journal package of Akadémiai Kiadó: 100%
Subscription fee 2025 Online subsscription: 796 EUR / 876 USD
Print + online subscription: 900 EUR / 988 USD
Subscription Information Online subscribers are entitled access to all back issues published by Akadémiai Kiadó for each title for the duration of the subscription, as well as Online First content for the subscribed content.
Purchase per Title Individual articles are sold on the displayed price.

Studia Scientiarum Mathematicarum Hungarica
Language English
French
German
Size B5
Year of
Foundation		 1966
Volumes
per Year		 1
Issues
per Year		 4
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0081-6906 (Print)
ISSN 1588-2896 (Online)

Monthly Content Usage

Abstract Views Full Text Views PDF Downloads
Oct 2024 78 1 1
Nov 2024 36 0 0
Dec 2024 6 0 0
Jan 2025 46 0 0
Feb 2025 27 0 0
Mar 2025 20 0 0
Apr 2025 0 0 0