1 citations · 1 across the 10 of their papers we have counts for
10 papers
Generalized mixed product ideals whose powers have a linear resolution
Monica La Barbiera, Roya Moghimipor
In this paper we study classes of monomial ideals for which all of its powers have a linear resolution. Let K[x_{1},x_{2}] be the polynomial ring in two variables over the field K,…
Combinatorial properties of strong quasi-n-partite graphs
Monica La Barbiera, Roya Moghimipor
Monomial ideals corresponding to strong quasi-n-partite graphs are considered. Some algebraic and combinatorial properties of generalized graph ideals of a strong quasi-n-partite g…
Combinatorics of the integral closure of edge ideals of strong quasi-n-partite graphs
Monica La Barbiera, Roya Moghimipor
Combinatorial properties of some ideals related to strong quasi-n-partites graphs are examined. We prove that the edge ideal of a strong quasi-n-partite graph is not integrally clo…
Polymatroidal property of generalized mixed product ideals
Monica La Barbiera, Roya Moghimipor
Let L be the generalized mixed product ideal induced by a monomial ideal I. In this paper, we study the polymatroidal property of generalized mixed product ideals. Furthermore, som…
Unmixedness of generalized Veronese bi-type ideals
Monica La Barbiera, Roya Moghimipor
In this paper, some algebraic invariants of generalized Veronese bi-type ideals are computed. We characterize the unmixed generalized Veronese bi-type ideals and we give a descript…
Algorithmic releases on the spanning trees of suitable graphs
Maurizio Imbesi, Monica La Barbiera, Santo Saraceno
In this paper algebraic and combinatorial properties and a computation of the number of the spanning trees are developed for certain graphs. To this purpose, an original method, in…
Algebraic properties of universal squarefree lexsegment ideals
Marilena Crupi, Monica La Barbiera
Let K be a field and let A be the polynomial ring in n variables with coefficients in the field K We study the universal squarefree lexsegment ideals in A. We put our attention on…
Algebraic and geometric aspects of bipartite planar graphs
Maurizio Imbesi, Monica La Barbiera
Let B_{2t} be a bipartite planar graph with an even number of regions. We are able to find bounds for the graded Betti numbers and the projective dimension of the quotient ring ass…
On the Betti numbers and gracefulness of some planar graphs
Maurizio Imbesi, Monica La Barbiera
In this article bipartite planar graphs St_r are investigated, r the number of their plane regions. Bounds for the graded Betti numbers and the projective dimension of the quotient…
Monomial ideals of graphs with loops
Maurizio Imbesi, Monica La Barbiera
We investigate, using the notion of linear quotients, significative classes of connected graphs whose monomial edge ideals, not necessarily squarefree, have linear resolution, in o…