Let S=K[X_1,...,X_n;Y_1,...,Y_m] be the polynomial ring in two sets of variables over a field K. Using the notion of linear quotients, we investigate significative classes of graph ideals of S that have a linear resolution, namely the generalized graph ideals, in order to compute standard algebraic invariants of S modulo such ideals. Moreover we are able to determine the structure of the ideals of vertex covers for such generalized graph ideals.
On generalized graph ideals of complete bipartite graphs
Imbesi, Maurizio
;La Barbiera, Monica;Staglianò, Paola Lea
2017-01-01
Abstract
Let S=K[X_1,...,X_n;Y_1,...,Y_m] be the polynomial ring in two sets of variables over a field K. Using the notion of linear quotients, we investigate significative classes of graph ideals of S that have a linear resolution, namely the generalized graph ideals, in order to compute standard algebraic invariants of S modulo such ideals. Moreover we are able to determine the structure of the ideals of vertex covers for such generalized graph ideals.File in questo prodotto:
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