Asymptotics and Arithmetical Properties of Complexity for Circulant Graphs

Asymptotics and Arithmetical Properties of Complexity for Circulant Graphs Full article

Journal

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

Output data

Year: 2018, Volume: 97, Number: 2, Pages: 147-151 Pages count : 5 DOI: 10.1134/S1064562418020138

Authors

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

Affiliations

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