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[en] We consider a metric graph G made of two graphs G1 and G2 attached at one point. We derive a formula relating the spectral determinant of the Laplace operator SG(γ)=det(γ-Δ) in terms of the spectral determinants of the two subgraphs. The result is generalized to describe the attachment of n graphs. The formulae are also valid for the spectral determinant of the Schroedinger operator det(γ-Δ+V(x))
Journal
Journal of Physics. A, Mathematical and Theoretical (Online); ISSN 1751-8121; 
; v. 41(8); [9 p.]
; v. 41(8); [9 p.]