On Cohen-Macaulay Posets of dimension two and permutation graphs

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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


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