{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T23:53:07Z","timestamp":1762300387089,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>The perfect matching complex of a graph is the simplicial complex on the edge set of the graph with facets corresponding to perfect matchings of the graph. This paper studies the perfect matching complexes, $\\mathcal{M}_p(H_{k \\times m\\times n})$, of honeycomb graphs. For $k = 1$, $\\mathcal{M}_p(H_{1\\times m\\times n})$ is contractible unless $n\\geq m=2$, in which case it is homotopy equivalent to the $(n-1)$-sphere. Also, $\\mathcal{M}_p(H_{2\\times 2\\times 2})$ is homotopy equivalent to the wedge of two 3-spheres. The proofs use discrete Morse theory.<\/jats:p>","DOI":"10.37236\/11525","type":"journal-article","created":{"date-parts":[[2023,6,16]],"date-time":"2023-06-16T09:57:25Z","timestamp":1686909445000},"source":"Crossref","is-referenced-by-count":1,"title":["Perfect Matching Complexes of Honeycomb Graphs"],"prefix":"10.37236","volume":"30","author":[{"given":"Margaret","family":"Bayer","sequence":"first","affiliation":[]},{"given":"Marija","family":"Jeli\u0107 Milutinovi\u0107","sequence":"additional","affiliation":[]},{"given":"Julianne","family":"Vega","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2023,6,16]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v30i2p45\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v30i2p45\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,16]],"date-time":"2023-06-16T09:57:25Z","timestamp":1686909445000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v30i2p45"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,6,16]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2023,4,7]]}},"URL":"https:\/\/doi.org\/10.37236\/11525","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2023,6,16]]},"article-number":"P2.45"}}