{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,1,8]],"date-time":"2023-01-08T01:53:11Z","timestamp":1673142791461},"reference-count":0,"publisher":"The Electronic Journal of Combinatorics","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Electron. J. Combin."],"abstract":"A graph $G$ is $(K_{q},k)$ stable if it contains a copy of $K_{q}$ after deleting any subset of $k$ vertices. In a previous paper we have characterized the $(K_q,k)$ stable graphs with minimum size for $3 \\le q \\le 5$ and we have proved that the only $(K_q,k)$ stable graph with minimum size is $K_{q+k}$ for $q \\ge 5$ and $k \\le 3$. We show that for $q \\ge 6$ and $k \\le \\frac{q}{2}+1$ the only $(K_q,k)$ stable graph with minimum size is isomorphic to $K_{q+k}$.\u00a0<\/jats:p>","DOI":"10.37236\/2435","type":"journal-article","created":{"date-parts":[[2020,1,11]],"date-time":"2020-01-11T07:19:51Z","timestamp":1578727191000},"source":"Crossref","is-referenced-by-count":6,"title":["On $(K_{q},k)$ Stable Graphs with Small $k$"],"prefix":"10.37236","volume":"19","author":[{"given":"Jean-Luc","family":"Fouquet","sequence":"first","affiliation":[]},{"given":"Henri","family":"Thuillier","sequence":"additional","affiliation":[]},{"given":"Jean-Marie","family":"Vanherpe","sequence":"additional","affiliation":[]},{"given":"Adam Pawe\u0142","family":"Wojda","sequence":"additional","affiliation":[]}],"member":"23455","published-online":{"date-parts":[[2012,6,28]]},"container-title":["The Electronic Journal of Combinatorics"],"original-title":[],"link":[{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i2p50\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/download\/v19i2p50\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T22:33:11Z","timestamp":1579300391000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.combinatorics.org\/ojs\/index.php\/eljc\/article\/view\/v19i2p50"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,6,28]]},"references-count":0,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2012,4,7]]}},"URL":"https:\/\/doi.org\/10.37236\/2435","relation":{},"ISSN":["1077-8926"],"issn-type":[{"value":"1077-8926","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,6,28]]}}}