Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2013, Volume 419, Pages 5–15 (Mi znsl5734)  
Harary's theorem on signed graphs and reversibility of Markov chains

Yu. A. Al'pin

Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (208 kB)
References:
PDF
HTML
Abstract: A counterpart of the well-known Harary theorem on signed graphs is proved for digraphs over groups. This result is then used to derive a known theorem on the diagonal similarity of matrices and Kolmogorov's criterion of the reversibility of Markov chains.
Key words and phrases: stochastic matrix, Markov chain, signed graph.
Received: 25.06.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 199, Issue 4, Pages 375–380
DOI: https://doi.org/10.1007/s10958-014-1864-5
Bibliographic databases:
Document Type: Article
UDC: 512.6
Language: Russian
Citation: Yu. A. Al'pin, “Harary's theorem on signed graphs and reversibility of Markov chains”, Computational methods and algorithms. Part XXVI, Zap. Nauchn. Sem. POMI, 419, POMI, St. Petersburg, 2013, 5–15; J. Math. Sci. (N. Y.), 199:4 (2014), 375–380
Citation in format AMSBIB
\Bibitem{Alp13}
\by Yu.~A.~Al'pin
\paper Harary's theorem on signed graphs and reversibility of Markov chains
\inbook Computational methods and algorithms. Part~XXVI
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 419
\pages 5--15
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5734}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 199
\issue 4
\pages 375--380
\crossref{https://doi.org/10.1007/s10958-014-1864-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84902302715}
Linking options:
  • https://www.mathnet.ru/eng/znsl5734
  • https://www.mathnet.ru/eng/znsl/v419/p5
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:401
    Full-text PDF :115
    References:39
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024