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Authors
Affiliations
1 University of Messina, Department of Mathematical and Computer Sciences, Physical Sciences and Earth Sciences, Viale F. Stagno d’Alcontres 31, I-98166 Messina, IT
2 University of Catania, Department of Industrial Engineering, Viale A. Doria 6, Building 3, I-95125 Catania, IT
3 University of Palermo, Department of Civil, Environmental, Aerospace, Material Engineering, Viale delle Scienze, Building 8, I-90128 Palermo, IT
Source
Journal of the Ramanujan Mathematical Society, Vol 32, No 2 (2017), Pagination: 121–133
Abstract
Let S = K[X1, . . . , Xn; Y1, . . . , Ym] 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.
