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metadata.dc.type: | Artigo de Periódico |
Title: | On the jacobian module associated to a graph |
Other Titles: | Proceedings of the American Mathematical Society |
Authors: | Simis, Aron |
metadata.dc.creator: | Simis, Aron |
Abstract: | Abstract. We consider the jacobian module of a set f := ff1; : : : ; fmg 2 R:= k[X1; : : : ;Xn] of squarefree monomials of degree 2 corresponding to the edges of a connected bipartite graph G. We show that for such a graph G the number of its primitive cycles (i.e., cycles whose chords are not edges of G) is the second Betti number in a minimal resolution of the corresponding jacobian module. A byproduct is a graph theoretic criterion for the subalgebra k[G] := k[f] to be a complete intersection. |
Publisher: | Proceedings of the American Mathematical Society |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/12624 |
Issue Date: | 1998 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
Files in This Item:
File | Description | Size | Format | |
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22222222222222.pdf | 228,37 kB | Adobe PDF | View/Open |
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