| dc.contributor.author |
Saha, Kamalesh |
|
| dc.contributor.author |
Sengupta, Indranath |
|
| dc.date.accessioned |
2012-09-20T03:32:51Z |
|
| dc.date.available |
2012-09-20T03:32:51Z |
|
| dc.date.issued |
2022-03 |
|
| dc.identifier.citation |
Saha, Kamalesh and Sengupta, Indranath, "Cohen-Macaulay weighted oriented edge ideals and its alexander dual", arXiv, Cornell University Library, DOI: arXiv:2203.01710, Mar. 2022. |
en_US |
| dc.identifier.issn |
|
|
| dc.identifier.uri |
http://arxiv.org/abs/2203.01710 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/7591 |
|
| dc.description.abstract |
The study of the edge ideal I(DG) of a weighted oriented graph DG with underlying graph G started in the context of Reed-Muller type codes. We generalize a Cohen-Macaulay construction for I(DG), which Villarreal gave for edge ideals of simple graphs. We use this construction to classify all the Cohen-Macaulay weighted oriented edge ideals, whose underlying graph is a cycle. We show that the conjecture on Cohen-Macaulayness of I(DG), proposed by Pitones et al. (2019), holds for I(DCn), where Cn denotes the cycle of length n. Miller generalized the concept of Alexander dual ideals of square-free monomial ideals to arbitrary monomial ideals, and in that direction, we study the Alexander dual of I(DG) and its conditions to be Cohen-Macaulay. |
|
| dc.description.statementofresponsibility |
by Kamalesh Saha and Indranath Sengupta |
|
| dc.language.iso |
en_US |
en_US |
| dc.publisher |
Cornell University Library |
en_US |
| dc.subject |
Cohen-Macaulay construction |
en_US |
| dc.subject |
Reed-Muller |
en_US |
| dc.subject |
Alexander dual |
en_US |
| dc.subject |
Pitones |
en_US |
| dc.subject |
Square-free monomial |
en_US |
| dc.title |
Cohen-Macaulay weighted oriented edge ideals and its alexander dual |
en_US |
| dc.type |
Pre-Print |
en_US |
| dc.relation.journal |
arXiv |
|