DC Field | Value | Language |
---|---|---|
dc.contributor.author | Park, Boram | ko |
dc.contributor.author | Park, Hanchul | ko |
dc.contributor.author | Park, Seonjeong | ko |
dc.date.accessioned | 2021-03-26T03:32:46Z | - |
dc.date.available | 2021-03-26T03:32:46Z | - |
dc.date.created | 2020-04-21 | - |
dc.date.issued | 2020-04 | - |
dc.identifier.citation | OSAKA JOURNAL OF MATHEMATICS, v.57, no.2, pp.333 - 356 | - |
dc.identifier.issn | 0030-6126 | - |
dc.identifier.uri | http://hdl.handle.net/10203/282065 | - |
dc.description.abstract | For a graph G, the graph cubeahedron square(G) and the graph associahedron Delta(G) are simple convex polytopes which admit (real) toric manifolds. In this paper, we introduce a graph invariant, called the b-number, and show that the b-numbers compute the Betti numbers of the real toric manifold X-R(square(G)) corresponding to square(G). The b-number is a counterpart of the notion of a-number, introduced by S. Choi and the second named author, which computes the Betti numbers of the real toric manifold X-R(Delta(G)) corresponding to Delta(G). We also study various relationships between a-numbers and b-numbers from the viewpoint of toric topology. Interestingly, for a forest G and its line graph L(G), the real toric manifolds X-R(Delta(G)) and X-R(square(L(G))) have the same Betti numbers. | - |
dc.language | English | - |
dc.publisher | OSAKA JOURNAL OF MATHEMATICS | - |
dc.title | GRAPH INVARIANTS AND BETTI NUMBERS OF REAL TORIC MANIFOLDS | - |
dc.type | Article | - |
dc.identifier.wosid | 000523596100005 | - |
dc.identifier.scopusid | 2-s2.0-85087002326 | - |
dc.type.rims | ART | - |
dc.citation.volume | 57 | - |
dc.citation.issue | 2 | - |
dc.citation.beginningpage | 333 | - |
dc.citation.endingpage | 356 | - |
dc.citation.publicationname | OSAKA JOURNAL OF MATHEMATICS | - |
dc.contributor.nonIdAuthor | Park, Boram | - |
dc.contributor.nonIdAuthor | Park, Hanchul | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.