Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 60: Issue 2-3
The Endomorphism Conjecture for Graded Posets with Whitney Numbers at most 4
Authors:
Miklós Bóna Department of Mathematics, University of Florida, 358 Little Hall, PO Box 118105, Gainesville, FL 32611-8105, USA

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and
Ryan R. Martin Department of Mathematics, Iowa State University, 411 Morrill Road, Ames, IA, 50011-2104, USA

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Pages:
133–142
Online Publication Date:
24 Oct 2023
Publication Date:
24 Oct 2023
Article Category:
Research Article
DOI:
https://doi.org/10.1556/012.2023.01540
Keywords:
partially ordered set; automorphism; endomorphism; Whitney number
Restricted access

We prove the endomorphism conjecture for graded posets with largest Whitney number at most 4.

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    M. Bóna. On the endomorphism conjecture for posets with 0. Order 14(3)191–192, 1997/98.

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    N. N. Kuzjurin. On the automorphism conjecture for products of ordered sets. Order 9(3):205–208, 1992.

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    W.-P. Liu and H. H. Wan. Automorphisms and isotone self-maps of ordered sets with top and bottom. Order 10(2):105–110, 1993.

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    I. Rival and A. Rutkowski. Does almost every isotone self-map have a fixed point? in Extremal Problems for Finite Sets (Visegrád, 1991), 413–422. Bolyai Soc. Math. Stud., 3, János Bolyai Math. Soc., Budapest, 1994.

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  • [5]

    B. S. W. Schröder. The automorphism conjecture for small sets and series parallel sets. Order 22(4):371–387, 2005.

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    B. S. W. Schröder. The automorphism conjecture for ordered sets of dimension 2 and interval orders. Order 38(2):271–281, 2021.

  • [7]

    B. S. W. Schröder. The automorphism conjecture for ordered sets of width ≤ 11. Preprint, available at arXiv: 2209.09312.

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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")

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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)

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