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- W2042728620 abstract "Let denote any matrix. Thinking of M as a linear map , we denote by Im(M) the -span of the column vectors of M. Let e 1, …en denote the standard basis of and let Eij :=ei − ej , (i ν j). In this article, we are interested in the group , and in particular in the elements of this group defined by the images τ ij of the vectors Eij under the quotient . Most of this article is devoted to the study of the case where M is the laplacian of a graph. In this case, the elements τ ij have finite order, and we study how the geometry of the graph relates to these orders. We give in particular a criterion in terms of the topology of the graph to determine when such an element has order 1 or 2." @default.
- W2042728620 created "2016-06-24" @default.
- W2042728620 creator A5057770379 @default.
- W2042728620 date "2000-08-01" @default.
- W2042728620 modified "2023-09-25" @default.
- W2042728620 title "Arithmetical properties of laplacians of graphs" @default.
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- W2042728620 doi "https://doi.org/10.1080/03081080008818652" @default.
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