Asymptotics and Arithmetical Properties of Complexity for Circulant Graphs | Sciact - Система учета научной деятельности ИМ СО РАН

Asymptotics and Arithmetical Properties of Complexity for Circulant Graphs Научная публикация

Журнал

Doklady Mathematics
ISSN: 1064-5624 , E-ISSN: 1531-8362

Вых. Данные

Год: 2018, Том: 97, Номер: 2, Страницы: 147-151 Страниц : 5 DOI: 10.1134/S1064562418020138

Авторы

Mednykh A.D. ^1,2 , Mednykh I.A. ^1,2

Организации

1	Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, Novosibirsk, 630090, Russian Federation

Abstract—We study analytical and arithmetical properties of the complexity function for infinite families of circulant Cn(s1, s2,…, sk) C2n(s1, s2,…, sk, n). Exact analytical formulas for the complexity functions of these families are derived, and their asymptotics are found. As a consequence, we show that the thermodynamic limit of these families of graphs coincides with the small Mahler measure of the accompanying Laurent polynomials. © 2018, Pleiades Publishing, Ltd.

Mednykh A.D. , Mednykh I.A.
Asymptotics and Arithmetical Properties of Complexity for Circulant Graphs
Doklady Mathematics. 2018. V.97. N2. P.147-151. DOI: 10.1134/S1064562418020138 WOS Scopus OpenAlex

≡ Web of science:	WOS:000432837100011
≡ Scopus:	2-s2.0-85047239741
≡ OpenAlex:	W2803126585