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Diskretnyi Analiz i Issledovanie Operatsii, 2015, Volume 22, Issue 2, Pages 27–48
DOI: https://doi.org/10.17377/daio.2015.22.440 (Mi da811) 		 
Cyclic properties of topological graphs of a hexagonal grid

P. A. Irzhavski

Belarusian State University, 4 Nezavisimosti Ave., 220030 Minsk, Belarus
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DOI: https://doi.org/10.17377/daio.2015.22.440
Abstract: We study cyclic properties of topological graphs of a hexagonal grid. A sufficient condition for Hamiltonicity of such graphs is obtained. We find the smallest $2$-connected non-Hamiltonian topological graph of a hexagonal grid. An upper bound for the shortness coefficient of this class of graphs is established. Ill. 17, bibliogr. 18.
Keywords: plane graph, hexagonal grid, Hamilton cycle, shortness coefficient.
Received: 16.02.2014
Revised: 05.08.2014
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 3, Pages 367–380
DOI: https://doi.org/10.1134/S1990478915030084
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: P. A. Irzhavski, “Cyclic properties of topological graphs of a hexagonal grid”, Diskretn. Anal. Issled. Oper., 22:2 (2015), 27–48; J. Appl. Industr. Math., 9:3 (2015), 367–380
Citation in format AMSBIB
\Bibitem{Irz15}
\by P.~A.~Irzhavski
\paper Cyclic properties of topological graphs of a~hexagonal grid
\jour Diskretn. Anal. Issled. Oper.
\yr 2015
\vol 22
\issue 2
\pages 27--48
\mathnet{http://mi.mathnet.ru/da811}
\crossref{https://doi.org/10.17377/daio.2015.22.440}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3444476}
\elib{https://elibrary.ru/item.asp?id=23134005}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 3
\pages 367--380
\crossref{https://doi.org/10.1134/S1990478915030084}
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    		Дискретный анализ и исследование операций
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