Algebraic invariants of weighted oriented graphs
Let D be a weighted oriented graph and let I(D) be its edge ideal in a polynomial ring R. We give the formula of Castelnuovo–Mumford regularity of R/ I(D) when D is a weighted oriented path or cycle such that edges of D are oriented in one direction. Additionally, we compute the projective dimension for this class of graphs.
|Work Title||Algebraic invariants of weighted oriented graphs|
|License||In Copyright (Rights Reserved)|
|Publication Date||October 4, 2021|
|Publisher Identifier (DOI)||
|Deposited||May 27, 2022|
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