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 arbi...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
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| Дата: | 2005 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2005
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/157198 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On square-Hamiltonian graphs / K.D. Protasova // Algebra and Discrete Mathematics. — 2005. — Vol. 4, № 3. — С. 56–59. — Бібліогр.: 7 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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 square-Hamiltonian.
|
|---|---|
| ISSN: | 1726-3255 |