Diskretnyi Analiz i Issledovanie Operatsii
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Diskretn. Anal. Issled. Oper.:
Year:
Volume:
Issue:
Page:
Find




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

Diskretnyi Analiz i Issledovanie Operatsii, 2015, Volume 22, Issue 6, Pages 43–54
DOI: https://doi.org/10.17377/daio.2015.22.512 (Mi da832) 		 
This article is cited in 7 scientific papers (total in 7 papers)

The diversity vector of balls of a typical graph of small diameter

T. I. Fedoryaevaab

a Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
b Sobolev Institute of Mathematics, 4 Koptyug Ave., 630090 Novosibirsk, Russia
Full-text PDF (278 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.17377/daio.2015.22.512
Abstract: For ordinary connected graphs, the diversity vectors of balls ($i$th component of the vector is equal to the number of different balls of radius $i$) are studied asymptotically. The asymptotic behavior of the number of graphs of small diameter with full diversity of balls is investigated. The diversity vector of balls of a typical graph of the given small diameter is calculated. Asymptotically exact value of the number of labeled $n$-vertex graphs of diameter 3 is obtained. Ill. 2, bibliogr. 12.
Keywords: graph, metric ball, radius of ball, number of balls, diversity vector of balls, typical graph.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00507
Received: 20.09.2015
Revised: 26.10.2015
Bibliographic databases:
Document Type: Article
UDC: 519.1+519.173
Language: Russian
Citation: T. I. Fedoryaeva, “The diversity vector of balls of a typical graph of small diameter”, Diskretn. Anal. Issled. Oper., 22:6 (2015), 43–54
Citation in format AMSBIB
\Bibitem{Fed15}
\by T.~I.~Fedoryaeva
\paper The diversity vector of balls of a~typical graph of small diameter
\jour Diskretn. Anal. Issled. Oper.
\yr 2015
\vol 22
\issue 6
\pages 43--54
\mathnet{http://mi.mathnet.ru/da832}
\crossref{https://doi.org/10.17377/daio.2015.22.512}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3497822}
\elib{https://elibrary.ru/item.asp?id=25124389}
Linking options:
  • https://www.mathnet.ru/eng/da832
  • https://www.mathnet.ru/eng/da/v22/i6/p43
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
    Statistics & downloads:
    Abstract page:433
    Full-text PDF :103
    References:36
    First page:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024