{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T16:43:54Z","timestamp":1753893834421,"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>It is shown that every shifted simplicial complex $\\Delta$ is EKR of type $(r,s)$, provided that the size of every facet of $\\Delta$ is at least $(2s+1)r-s$. It is moreover proven that every $i$-near-cone simplicial complex is EKR of type $(r,i)$ if ${\\rm depth}_{\\mathbb{K}}\\Delta\\geq (2i+1)r-i-1$, for some field $\\mathbb{K}$. Furthermore, we prove that if $G$ is a graph having at least $(2i+1)r-i$ connected components, including $i$ isolated vertices, then its independence simplicial complex $\\Delta_G$ is EKR of type $(r,i)$. The results of this paper, generalize the main result of Frankl (2013).<\/jats:p>","DOI":"10.37236\/6544","type":"journal-article","created":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T10:54:19Z","timestamp":1578653659000},"source":"Crossref","is-referenced-by-count":1,"title":["Erd\u0151s-Ko-Rado Type Theorems for Simplicial Complexes"],"prefix":"10.37236","volume":"24","author":[{"given":"Seyed Amin","family":"Seyed Fakhari","sequence":"first","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2017,6,16]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v24i2p38\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v24i2p38\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,16]],"date-time":"2020-01-16T23:56:12Z","timestamp":1579218972000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v24i2p38"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,6,16]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2017,4,13]]}},"URL":"https:\/\/doi.org\/10.37236\/6544","relation":{},"ISSN":["1077-8926"],"issn-type":[{"type":"electronic","value":"1077-8926"}],"subject":[],"published":{"date-parts":[[2017,6,16]]},"article-number":"P2.38"}}