Hamiltonian properties of locally connected graphs with cluster coefficient close to one-Reference-Cited by-同舟云学术

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Hamiltonian properties of locally connected graphs with cluster coefficient close to one

Published:2022 Issue: Volume: Page:
ISSN:
Container-title:Proceedings of Academician O.B. Lupanov 14th International Scientific Seminar "Discrete Mathematics and Its Applications"
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Author:

Gamezo Valeria Vladimirovna,Orlovich Yuri Leonidovich^ORCID

Abstract

It is established in the work that the problem of the Hamiltonian cycle is NP-complete in the class of locally connected graphs with a cluster coefficient, close to unity.

Publisher

Keldysh Institute of Applied Mathematics

Reference6 articles.

1. Karp R. M. Reducibility among combinatorial problems // Complexity of Computer Computations. — New York: Plenum Press, 1972. — P. 85–103.

2. Borchert A., Nicol S., Oellermann O. R. Global cycle properties in graphs with large minimum clustering coefficient // Quaest. Math. — 2016. — Vol. 39, No. 8. — P. 1047–1070.

3. Емеличев В. А., Мельников О. И., Сарванов В. И., Тышкевич Р. И. Лекции по теории графов. — М.: Наука, 1990.

4. Chartrand G., Pippert R. E. Locally connected graphs // Cas. ˇPˇest. Mat. — 1974. — Vol. 99. — P. 158–163.

5. Watts D. J., Strogatz S. H. Collective dynamics of ‘small-world’ networks // Nature. — 1998. — Vol. 393, No. 6684. — P. 440–442.

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