Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Zametki, 2014, Volume 95, Issue 2, Pages 271–281
DOI: https://doi.org/10.4213/mzm10187 (Mi mzm10187) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On Turán's $(3,4)$-Problem with Forbidden Subgraphs

A. A. Razborovab

a Steklov Mathematical Institute of the Russian Academy of Sciences
b University of Chicago, USA
Full-text PDF (485 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm10187
Abstract: We identify three $3$-graphs on five vertices that are missing in all known extremal configurations for Turán's $(3,4)$-problem and prove Turán's conjecture for $3$-graphs that are additionally known not to contain any induced copies of these $3$-graphs. Our argument is based on an (apparently) new technique of “indirect interpretation” that allows us to retrieve additional structure from hypothetical counterexamples to Turán's conjecture, but in rather loose and limited sense. We also include two miscellaneous calculations in flag algebras that prove similar results about some other additional forbidden subgraphs.
Keywords: Turán's $(3,4)$-problem, $3$-graph, hypergraph, forbidden subgraph.
Funding agency Grant number
Russian Foundation for Basic Research
Received: 13.12.2012
Revised: 23.03.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 2, Pages 247–254
DOI: https://doi.org/10.1134/S000143461401026X
Bibliographic databases:
Document Type: Article
UDC: 519.113
Language: Russian
Citation: A. A. Razborov, “On Turán's $(3,4)$-Problem with Forbidden Subgraphs”, Mat. Zametki, 95:2 (2014), 271–281; Math. Notes, 95:2 (2014), 247–254
Citation in format AMSBIB
\Bibitem{Raz14}
\by A.~A.~Razborov
\paper On Tur\'an's $(3,4)$-Problem with Forbidden Subgraphs
\jour Mat. Zametki
\yr 2014
\vol 95
\issue 2
\pages 271--281
\mathnet{http://mi.mathnet.ru/mzm10187}
\crossref{https://doi.org/10.4213/mzm10187}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3267212}
\elib{https://elibrary.ru/item.asp?id=21276978}
\transl
\jour Math. Notes
\yr 2014
\vol 95
\issue 2
\pages 247--254
\crossref{https://doi.org/10.1134/S000143461401026X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000335457200026}
\elib{https://elibrary.ru/item.asp?id=21866817}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84894746619}
Linking options:
  • https://www.mathnet.ru/eng/mzm10187
  • https://doi.org/10.4213/mzm10187
  • https://www.mathnet.ru/eng/mzm/v95/i2/p271
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024