AbstractA combinatorial characterization of the 1-skeletons of the Cohen–Macaulay complexes of dimension 2 overZwill be given. We also give an example of a graph that cannot be the 1-skeleton of any shellable complex of dimension 2 and an example of a graph that can only be the 1-skeleton of a Cohen–Macaulay complex over a field of some particular characteristic
In this work we obtain the result that the complement of a $d$-tree is a Cohen-Macaulay graph. To do...
The problem of finding a characterization of Cohen-Macaulay simplicial complexes has been studied in...
The notion of a sequentially Cohen-Macaulay module was introduced by Stanley [?], fol-lowing the int...
AbstractA combinatorial characterization of the 1-skeletons of the Cohen–Macaulay complexes of dimen...
A long-standing conjecture of Stanley states that every Cohen–Macaulay simplicial complex is partiti...
In this paper we study the grafted simplicial complex, introduced by Sara Faridi, as higher-dimensio...
In this paper we study simplicial complexes as higher dimensional graphs in order to produce algebra...
A simplicial complex ∆ is shellable if its facets “fit nicely together”. Specifically, if there is a...
For a positive integer k a class of simplicial complexes, to be denoted by CM(k), is introduced. Thi...
We highlight some features of the SimplicialComplexes package in Macaulay2.Comment: 8 pages, 2 figur...
AbstractIn this paper, we study simplicial complexes as higher-dimensional graphs in order to produc...
Monomials are the link between commutative algebra and combinatorics. With a simplicial complex Δ, o...
AbstractAssociated to any simplicial complex Δ on n vertices is a square-free monomial ideal IΔ in t...
The problem of whether or not a Cohen-Macaulay complex Δ is Gorenstein depends only on the reduced E...
This paper uses dualities between facet ideal theory and Stanley-Reisner theory to show that the fac...
In this work we obtain the result that the complement of a $d$-tree is a Cohen-Macaulay graph. To do...
The problem of finding a characterization of Cohen-Macaulay simplicial complexes has been studied in...
The notion of a sequentially Cohen-Macaulay module was introduced by Stanley [?], fol-lowing the int...
AbstractA combinatorial characterization of the 1-skeletons of the Cohen–Macaulay complexes of dimen...
A long-standing conjecture of Stanley states that every Cohen–Macaulay simplicial complex is partiti...
In this paper we study the grafted simplicial complex, introduced by Sara Faridi, as higher-dimensio...
In this paper we study simplicial complexes as higher dimensional graphs in order to produce algebra...
A simplicial complex ∆ is shellable if its facets “fit nicely together”. Specifically, if there is a...
For a positive integer k a class of simplicial complexes, to be denoted by CM(k), is introduced. Thi...
We highlight some features of the SimplicialComplexes package in Macaulay2.Comment: 8 pages, 2 figur...
AbstractIn this paper, we study simplicial complexes as higher-dimensional graphs in order to produc...
Monomials are the link between commutative algebra and combinatorics. With a simplicial complex Δ, o...
AbstractAssociated to any simplicial complex Δ on n vertices is a square-free monomial ideal IΔ in t...
The problem of whether or not a Cohen-Macaulay complex Δ is Gorenstein depends only on the reduced E...
This paper uses dualities between facet ideal theory and Stanley-Reisner theory to show that the fac...
In this work we obtain the result that the complement of a $d$-tree is a Cohen-Macaulay graph. To do...
The problem of finding a characterization of Cohen-Macaulay simplicial complexes has been studied in...
The notion of a sequentially Cohen-Macaulay module was introduced by Stanley [?], fol-lowing the int...
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