Journal of the Ramanujan Mathematical Society
Volume 32, Issue 2, June 2017 pp. 121–133.
On generalized graph ideals of complete bipartite graphs
Authors:
Maurizio Imbesi, Monica La Barbiera and Paola Lea Staglianò
Author institution:University of Messina, Department of Mathematical and Computer Sciences,
Physical Sciences and Earth Sciences, Viale F. Stagno d'Alcontres
31, I-98166 Messina, Italy
Summary:
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.
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