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On a representation of the automorphism group of a graph in a unimodular group
Title On a representation of the automorphism group of a graph in a unimodular group Author info István Estélyi ... [et al.] Author Estélyi István (5%)
Co-authors Karabáš Ján 1977- (40%) UMBFP05 - Katedra informatiky
Nedela Roman 1960- (50%)
Mednykh Alexander 1953- (5%)
Source document Discrete Mathematics. Vol. 344, no. 12 (2021), pp. [1-4]. - Amsterdam : Elsevier B.V., 2021 Keywords matematika - mathematics grafy - charts - graphs Form. Descr. články Language English Country Netherlands Annotation We investigate a representation of the automorphism group of a connected graph X in the group of unimodular matrices U(β) of dimension β, where β is the Betti number of graph X. We classify the graphs for which the automorphism group does not embed into U(β). It follows that if X has no pendant vertices and X is not a simple cycle, then the representation is faithful and Aut X acts faithfully on H_1(X,Z). The latter statement can be viewed as a discrete analogue of a classical Hurwitz’s theorem on Riemann surfaces of genera greater than one. URL Link na plný text Public work category ADM No. of Archival Copy 50763 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
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