{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T08:10:58Z","timestamp":1649146258710},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2015,9]]},"abstract":"<jats:p> For a poset P = (X, \u2264<jats:sub>P<\/jats:sub>), the strict-double-bound graph sDB (P) is the graph on X for which vertices u and v of sDB (P) are adjacent if and only if u \u2260 v and there exist x and y in X distinct from u and v such that x \u2264 <jats:sub>P<\/jats:sub> u \u2264 <jats:sub>P<\/jats:sub> y and x \u2264 <jats:sub>P<\/jats:sub> v \u2264 <jats:sub>P<\/jats:sub> y. The strict-double-bound number\u03b6(G) of a graph G is defined as [Formula: see text] is a strict-double-bound graph}. We obtain that [Formula: see text] for a caterpillar Cat <jats:sub>n<\/jats:sub>(m,m,\u2026,m)(n \u2265 3). We also have that for [Formula: see text] <\/jats:p>","DOI":"10.1142\/s179383091550038x","type":"journal-article","created":{"date-parts":[[2015,8,5]],"date-time":"2015-08-05T02:16:09Z","timestamp":1438740969000},"page":"1550038","source":"Crossref","is-referenced-by-count":0,"title":["On strict-double-bound numbers of caterpillars"],"prefix":"10.1142","volume":"07","author":[{"given":"Kenjiro","family":"Ogawa","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Tokai University, Hiratsuka 259-1292, Japan"}]},{"given":"Yuhei","family":"Shiraki","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Tokai University, Hiratsuka 259-1292, Japan"}]},{"given":"Satoshi","family":"Tagusari","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Tokai University, Hiratsuka 259-1292, Japan"}]},{"given":"Morimasa","family":"Tsuchiya","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Tokai University, Hiratsuka 259-1292, Japan"}]}],"member":"219","published-online":{"date-parts":[[2015,9,29]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.7155\/jgaa.00123"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/s11083-012-9270-4"},{"key":"rf3","first-page":"52","volume":"10","author":"Diny D.","year":"1985","journal-title":"J. Combin. Inform. Syst. Sci."},{"key":"rf4","first-page":"25","volume":"31","author":"Era H.","year":"1996","journal-title":"Proc. Sch. Sci. Tokai Univ."},{"key":"rf5","first-page":"205","volume":"83","author":"Konishi S.","year":"2012","journal-title":"J. Combin. Math. Combin. Comput."},{"key":"rf6","first-page":"249","volume":"108","author":"Konishi S.","year":"2013","journal-title":"Ars Combin."},{"key":"rf7","first-page":"153","volume":"125","author":"Langley L.","year":"1997","journal-title":"Congr. Numer."},{"key":"rf8","first-page":"134","volume":"7","author":"McMorris F. R.","year":"1982","journal-title":"J. Combin. Inform. Syst. Sci."},{"key":"rf9","first-page":"127","volume":"11","author":"Ogawa K.","year":"2014","journal-title":"AKCE Int. J. Graphs Combin."},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/0166-218X(87)90030-8"}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S179383091550038X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T14:02:06Z","timestamp":1565186526000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S179383091550038X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,9]]},"references-count":10,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2015,9,29]]},"published-print":{"date-parts":[[2015,9]]}},"alternative-id":["10.1142\/S179383091550038X"],"URL":"https:\/\/doi.org\/10.1142\/s179383091550038x","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,9]]}}}