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On Jacobian group of the Δ-graph Full article

Journal Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
ISSN: 2181-130X , E-ISSN: 2181-1318
Output data Year: 2022, Volume: 5, Number: 4, Article number : 2, Pages count : 13 DOI: 10.56017/2181-1318.1233
Tags spanning tree, Jacobian group, Laplacian matrix, Chebyshev polynomial.
Authors Mednykh А. 1,2 , Mednykh I. 1,2 , Yudin I. 1,2,3
Affiliations
1 Sobolev Institute of Mathematics
2 Novosibirsk State University
3 Gorno-Altaisk State University

Funding (1)

1 Sobolev Institute of Mathematics FWNF-2022-0005

Abstract: In the present paper we suggest an approach for counting Jacobian group of the-graph (n;k,l,m). The notion of-graph arises as a continuation of the families of I-, Y- andH-graphs well-known in the graph theory. In particular, graph (n;1,1,1) is isomorphic to discrete torus C3 ⇥ Cn. It this case, the structure of the Jacobian group will be find explicitly.
Cite: Mednykh А. , Mednykh I. , Yudin I.
On Jacobian group of the Δ-graph
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences. 2022. V.5. N4. 2 :1-13. DOI: 10.56017/2181-1318.1233 РИНЦ OpenAlex
Dates:
Published online: Jan 25, 2024
Identifiers:
Elibrary: 65011212
OpenAlex: W4390075659
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