Author:
László Csirmaz UTIA, Prague, and Rényi Institute of Mathematics, Budapest

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The sticky polymatroid conjecture states that any two extensions of the polymatroid have an amalgam if and only if the polymatroid has no non-modular pairs of flats. We show that the conjecture holds for polymatroids on five or less elements.

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    J. E. Bonin. A note on the sticky matroid conjecture, Ann. Comb., 15:619624, 2011.

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    L. Csirmaz. Sticky matroids and convolution. 2019. Available at arXiv.org, arXiv:1909.02353.

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    R. Dougherty, C. Freiling and K. Zeger. Linear rank inequalities on five or more variables. 2009. Available at arXiv.org, arXiv:0910.0284

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    W. Hochstättler and M. Wilhelmi. Sticky matroids and Kantor’s conjecture. Algebra Univers., 80(12):121, 2019.

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    L. Lovász. Submodular functions and convexity. Mathematical Programming–The State of the Art (A. Bachem, M. Grötchel and B. Korte, eds.). Springer-Verlag, Berlin, 234257, 1982

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    F. Matúš. Adhesivity of polymatroids,Discrete Mathematics, 307:24642477, 2007.

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    M. Terzer. Polco: A Java tool to compute extreme rays of polyhedral cones, 2009. Available at http://www.csb.ethz.ch/tools/polco

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    M. Studeny, R. R. Bouckaert and T. Kocka. Extreme supermodular set functions over five variables. Research Report no 1977, Institute of Information Theory and Automation, Prague, 2000.

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    R. W. Yeung. A first course in information theory, Kluwer Academic / Plenum Publishers, 2002.

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Editors in Chief

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

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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  
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Address
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ISSN 0081-6906 (Print)
ISSN 1588-2896 (Online)