| dc.contributor.author |
Jahangir, Rizwan |
|
| dc.contributor.author |
Veer, Dharm |
|
| dc.coverage.spatial |
United States of America |
|
| dc.date.accessioned |
2023-05-17T09:47:07Z |
|
| dc.date.available |
2023-05-17T09:47:07Z |
|
| dc.date.issued |
2023-05 |
|
| dc.identifier.citation |
Jahangir, Rizwan and Veer, Dharm, "On Cohen-Macaulay posets of dimension two and permutation graphs", arXiv, Cornell University Library, DOI: arXiv:2305.04535, May 2023. |
|
| dc.identifier.uri |
http://arxiv.org/abs/2305.04535 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/8830 |
|
| dc.description.abstract |
We characterize Cohen-Macaulay posets of dimension two; they are precisely the shellable and strongly connected posets of dimension two. We also give a combinatorial description of these posets. Using the fact that co-comparability graph of a 2-dimensional poset is a permutation graph, we characterize Cohen-Macaulay permutation graphs. |
|
| dc.description.statementofresponsibility |
by Rizwan Jahangir and Dharm Veer |
|
| dc.language.iso |
en_US |
|
| dc.publisher |
Cornell University Library |
|
| dc.subject |
Cohen-Macaulay posets |
|
| dc.subject |
Permutation graphs |
|
| dc.subject |
Co-comparability graph |
|
| dc.subject |
Shellable |
|
| dc.subject |
Stanley-Reisner theory |
|
| dc.title |
On Cohen-Macaulay posets of dimension two and permutation graphs |
|
| dc.type |
Article |
|
| dc.relation.journal |
arXiv |
|