Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 48: Issue 1
Small forbidden configurations V: Exact bounds for 4 × 2 cases
Authors:
Richard Anstee The University of British Columbia Mathematics Department Vancouver B.C. V6T 1Z2 Canada

Search for other papers by Richard Anstee in
Current site
Google Scholar
PubMed Close
,
Farzin Barekat The University of British Columbia Mathematics Department Vancouver B.C. V6T 1Z2 Canada

Search for other papers by Farzin Barekat in
Current site
Google Scholar
PubMed Close
, and
Attila Sali The Hungarian Academy of Sciences Alfréd Rényi Institute of Mathematics P.O.B. 127 H-1364 Budapest Hungary

Search for other papers by Attila Sali in
Current site
Google Scholar
PubMed Close
Pages:
1–22
Online Publication Date:
01 Dec 2010
Publication Date:
01 Mar 2011
Article Category:
Journal Article
DOI:
https://doi.org/10.1556/sscmath.2010.1155
Keywords:
Primary 05D05; Secondary 05C65, 05B99; Forbidden configurations; extremal set theory; (0; 1)-matrices; triple systems
Restricted access

The present paper continues the work begun by Anstee, Ferguson, Griggs, Kamoosi and Sali on small forbidden configurations. We define a matrix to be simple if it is a (0, 1)-matrix with no repeated columns. Let F be a k × (0, 1)-matrix (the forbidden configuration). Assume A is an m × n simple matrix which has no submatrix which is a row and column permutation of F. We define forb (m, F) as the largest n, which would depend on m and F, so that such an A exists.Define Fabcd as the (a + b + c + d) × 2 matrix consisting of a rows of [11], b rows of [10], c rows of [01] and d rows of [00]. With the exception of F2110, we compute forb (m; Fabcd) for all 4 × 2 Fabcd. A number of cases follow easily from previous results and general observations. A number follow by clever inductions based on a single column such as forb (m; F1111) = 4m − 4 and forb (m; F1210) = forb (m; F1201) = forb (m; F0310) = ( 2m )+m+ 2 (proofs are different). A different idea proves forb (m; F0220) = ( 2m ) + 2m − 1 with the forbidden configuration being related to a result of Kleitman. Our results suggest that determining forb (m; F2110) is heavily related to designs and we offer some constructions of matrices avoiding F2110 using existing designs.

  • 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

2024  
Scopus  
CiteScore  
CiteScore rank  
SNIP  
Scimago  
SJR index 0.305
SJR Q rank Q3

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
Nov 2024 5 0 0
Dec 2024 7 0 0
Jan 2025 12 1 1
Feb 2025 3 0 0
Mar 2025 62 0 0
Apr 2025 2 0 0
May 2025 0 0 0