dc.contributor.author |
Jahangir, Rizwan |
|
dc.contributor.author |
Veer, Dharm |
|
dc.coverage.spatial |
United Kingdom |
|
dc.date.accessioned |
2025-07-16T10:50:13Z |
|
dc.date.available |
2025-07-16T10:50:13Z |
|
dc.date.issued |
2025-07 |
|
dc.identifier.citation |
Jahangir, Rizwan and Veer, Dharm, "On Cohen-Macaulay Posets of dimension two and permutation graphs", Bulletin of the Malaysian Mathematical Sciences Society, DOI: 10.1007/s40840-025-01906-5, vol. 48, no. 4, Jul. 2025. |
|
dc.identifier.issn |
0126-6705 |
|
dc.identifier.issn |
2180-4206 |
|
dc.identifier.uri |
https://doi.org/10.1007/s40840-025-01906-5 |
|
dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/11632 |
|
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.format.extent |
vol. 48, no. 4 |
|
dc.language.iso |
en_US |
|
dc.publisher |
Springer |
|
dc.subject |
Dimension of a poset |
|
dc.subject |
Cohen-Macaulay posets |
|
dc.subject |
Shellable posets |
|
dc.subject |
Permutation graph |
|
dc.title |
On Cohen-Macaulay Posets of dimension two and permutation graphs |
|
dc.type |
Article |
|
dc.relation.journal |
Bulletin of the Malaysian Mathematical Sciences Society |
|