On Jacobian group of the Δ-graph

2022/11/22 by Mednykh, Alexander, Mednykh, Ilya, Yudin, Ivan
#05C30 #39A10 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2211.12007

Abstract

In the present paper we compute the Jacobian group of Δ-graph Δ(n; k, l, m). The notion of Δ-graph continues the list of families of I-, Y- and H-graphs well-known in the graph theory. In particular, graph Δ(n; 1, 1, 1) is isomorphic to discrete torus C₃× C_n. It this case, the structure of the Jacobian group will be find explicitly.

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