On square-Hamiltonian graphs
A finite connected graph G is called squareHamiltonian if G² 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...
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| Datum: | 2005 |
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| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2005
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/157198 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On square-Hamiltonian graphs / K.D. Protasova // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 3. — С. 56–59. — Бібліогр.: 7 назв. — англ. |