Algebra and Discrete Mathematics
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


Algebra Discrete Math.:
Year:
Volume:
Issue:
Page:
Find




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

Algebra and Discrete Mathematics, 2005, Issue 3, Pages 56–59 (Mi adm312)  
RESEARCH ARTICLE

On square-Hamiltonian graphs

K. D. Protasova

Department of Cybernetics, Kyiv University, Volodimirska 64, Kyiv 01033, Ukraine
Full-text PDF (165 kB)
Abstract: A finite connected graph $G$ is called square-Hamiltonian if $G^{2}$ is Hamiltonian. We prove that any join of the family of Hamiltonian graphs by tree is square-Hamiltonian. Applying this statement we show that the line graph and any round-about reconstruction of an arbitrary finite connected graph is square-Hamiltonian.
Keywords: square-Hamiltonian graphs, join of graphs, line graph, round-about reconstruction.
Received: 15.08.2005
Revised: 10.09.2005
Bibliographic databases:
Document Type: Article
MSC: 05C45
Language: English
Citation: K. D. Protasova, “On square-Hamiltonian graphs”, Algebra Discrete Math., 2005, no. 3, 56–59
Citation in format AMSBIB
\Bibitem{Pro05}
\by K.~D.~Protasova
\paper On square-Hamiltonian graphs
\jour Algebra Discrete Math.
\yr 2005
\issue 3
\pages 56--59
\mathnet{http://mi.mathnet.ru/adm312}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2237895}
\zmath{https://zbmath.org/?q=an:1089.05042}
Linking options:
  • https://www.mathnet.ru/eng/adm312
  • https://www.mathnet.ru/eng/adm/y2005/i3/p56
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Algebra and Discrete Mathematics
    Statistics & downloads:
    Abstract page:117
    Full-text PDF :62
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024