Algebraic properties of edge ideals of some vertex-weighted oriented cyclic graphs
H Wang, G Zhu, L Xu, J Zhang - Algebra Colloquium, 2021 - World Scientific
We provide some exact formulas for the projective dimension and regularity of edge ideals
associated to some vertex-weighted oriented cyclic graphs with a common vertex or edge …
associated to some vertex-weighted oriented cyclic graphs with a common vertex or edge …
Projective dimension and regularity of edge ideals of some vertex-weighted oriented unicyclic graphs
G Zhu, H Wang - arXiv preprint arXiv:2309.10317, 2023 - arxiv.org
In this paper we provide some exact formulas for the projective dimension and the regularity
of edge ideals of vertex-weighted oriented unicyclic graphs. These formulas are in function …
of edge ideals of vertex-weighted oriented unicyclic graphs. These formulas are in function …
Algebraic Properties of Edge Ideals of Some Vertex-Weighted Oriented m-Partite Graphs
G Zhu, H Wang, L Xu, J Zhang - Bulletin of the Brazilian Mathematical …, 2021 - Springer
In this paper we will provide the exact formulas for the regularity and projective dimension of
edge ideals of three types of vertex-weighted oriented m-partite graphs. We also give some …
edge ideals of three types of vertex-weighted oriented m-partite graphs. We also give some …
Projective dimension and regularity of edge ideals of some weighted oriented graphs
G Zhu, L Xu, H Wang, Z Tang - 2019 - projecteuclid.org
We provide formulas for the projective dimension and the regularity of edge ideals
associated to vertex weighted rooted forests and oriented cycles. We derive from that exact …
associated to vertex weighted rooted forests and oriented cycles. We derive from that exact …
Algebraic Properties of Powers of Edge Ideals of Vertex-Weighted Oriented Cycles
H Wang, G Zhu, L Xu - Algebra Colloquium, 2023 - World Scientific
Let t be any positive integer and I (C n) the edge ideal of a vertex-weighted oriented n-cycle
graph C n. We provide explicit formulas for the regularity and depth of I (C n) t. In particular …
graph C n. We provide explicit formulas for the regularity and depth of I (C n) t. In particular …
Regularity of powers of edge ideals of vertex-weighted oriented unicyclic graphs
G Zhu, H Wang, L Xu, J Zhang - arXiv preprint arXiv:1904.02305, 2019 - arxiv.org
In this paper we provide some exact formulas for the regularity of powers of edge ideals of
vertex-weighted oriented cycles and vertex-weighted unicyclic graphs. These formulas are …
vertex-weighted oriented cycles and vertex-weighted unicyclic graphs. These formulas are …
Projective dimension and regularity of edge ideals of some vertex-weighted oriented -partite graphs
G Zhu, H Wang, L Xu, J Zhang - arXiv preprint arXiv:1904.04682, 2019 - arxiv.org
In this paper we provide some exact formulas for the projective dimension and the regularity
of edge ideals associated to three special types of vertex-weighted oriented $ m $-partite …
of edge ideals associated to three special types of vertex-weighted oriented $ m $-partite …
On some algebraic properties of edge ideals of ladder graphs
R Verma - Communications in Algebra, 2022 - Taylor & Francis
For any finite simple graph G one can associate a simplicial complex Δ (G) and an edge
ideal I (G). We attempt to use the combinatorial properties of the given graph to understand …
ideal I (G). We attempt to use the combinatorial properties of the given graph to understand …
On the arithmetical rank of the edge ideals of some graphs
F Mohammadi, D Kiani - Algebra Colloquium, 2012 - World Scientific
In this paper, we compute the projective dimension of the edge ideals of graphs consisting of
some cycles and lines which are joint in a common vertex. Moreover, we show that for such …
some cycles and lines which are joint in a common vertex. Moreover, we show that for such …
Arithmetical rank of the cyclic and bicyclic graphs
M Barile, D Kiani, F Mohammadi… - Journal of Algebra and Its …, 2012 - World Scientific
ARITHMETICAL RANK OF THE CYCLIC AND BICYCLIC GRAPHS Page 1 Journal of
Algebra and Its Applications Vol. 11, No. 2 (2012) 1250039 (14 pages) c© World Scientific …
Algebra and Its Applications Vol. 11, No. 2 (2012) 1250039 (14 pages) c© World Scientific …