RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription

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


Diskretn. Anal. Issled. Oper., Ser. 1, 2001, Volume 8, Number 3, Pages 73–80 (Mi da226)  

On the isometric embedding of arbitrary graphs into a graph of a given diameter possessing the metric continuation property

V. A. Tashkinov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: We prove that an arbitrary ordinary graph $G$ can be embedded as a generated subgraph into a graph $H$ of given diameter $d(H)=d\geqslant 2$ in which any two vertices lie on some diametral path. If the diameter $d(G)$ of $G$ is less than or equal to $d$, then the embedding can be achieved isometrically, that is, with preservation of the distances between the vertices in $G$.

Full text: PDF file (835 kB)

Bibliographic databases:
UDC: 519.176
Received: 29.06.2001

Citation: V. A. Tashkinov, “On the isometric embedding of arbitrary graphs into a graph of a given diameter possessing the metric continuation property”, Diskretn. Anal. Issled. Oper., Ser. 1, 8:3 (2001), 73–80

Citation in format AMSBIB
\Bibitem{Tas01}
\by V.~A.~Tashkinov
\paper On the isometric embedding of arbitrary graphs into a~graph of a~given diameter possessing the metric continuation property
\jour Diskretn. Anal. Issled. Oper., Ser.~1
\yr 2001
\vol 8
\issue 3
\pages 73--80
\mathnet{http://mi.mathnet.ru/da226}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1859852}
\zmath{https://zbmath.org/?q=an:0977.05037}


Linking options:
  • http://mi.mathnet.ru/eng/da226
  • http://mi.mathnet.ru/eng/da/v8/s1/i3/p73

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
  • ƒискретный анализ и исследование операций
    Number of views:
    This page:312
    Full text:64

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020