{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,4]],"date-time":"2025-11-04T23:33:28Z","timestamp":1762299208218,"version":"3.41.2"},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"<jats:p>The matching complex $M(G)$ of a simple graph $G$ is the simplicial complex consisting of the matchings on $G$. The matching complex $M(G)$ is isomorphic to the independence complex of the line graph $L(G)$.\u00a0\r\nBraun and Hough introduced a family of graphs $\\Delta^m_n$, which is a generalization of the line graph of the $(n \\times 2)$-grid graph. In this paper, we show that the independence complex of $\\Delta^m_n$ is a wedge of spheres. This gives an answer to a problem suggested by Braun and Hough.<\/jats:p>","DOI":"10.37236\/8480","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T07:05:25Z","timestamp":1578639925000},"source":"Crossref","is-referenced-by-count":4,"title":["Matching Complexes of Small Grids"],"prefix":"10.37236","volume":"26","author":[{"given":"Takahiro","family":"Matsushita","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2019,7,5]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i3p1\/7860","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v26i3p1\/7860","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:11:35Z","timestamp":1579234295000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v26i3p1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7,5]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2019,7,4]]}},"URL":"https:\/\/doi.org\/10.37236\/8480","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2019,7,5]]},"article-number":"P3.1"}}