{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,5]],"date-time":"2022-04-05T06:12:25Z","timestamp":1649139145826},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2010,12]]},"abstract":"<jats:p> Let H be a graph with the chromatic number h and the chromatic surplus s. A connected graph G of order n is called H-good if R(G, H) = (n - 1)(h - 1) + s. In this paper, we show that P<jats:sub>n<\/jats:sub> is 2K<jats:sub>m<\/jats:sub>-good for n \u2265 3. Furthermore, we obtain the Ramsey number R(L, 2K<jats:sub>m<\/jats:sub>), where L is a linear forest. Moreover, we also give the Ramsey number R(L, H<jats:sub>m<\/jats:sub>) which is an extension for R(kP<jats:sub>n<\/jats:sub>, H<jats:sub>m<\/jats:sub>) proposed by Ali et al. [1], where H<jats:sub>m<\/jats:sub> is a cocktail party graph on 2m vertices. <\/jats:p>","DOI":"10.1142\/s1793830910000784","type":"journal-article","created":{"date-parts":[[2011,1,17]],"date-time":"2011-01-17T08:21:26Z","timestamp":1295252486000},"page":"437-444","source":"Crossref","is-referenced-by-count":1,"title":["THE RAMSEY NUMBER FOR A LINEAR FOREST VERSUS TWO IDENTICAL COPIES OF COMPLETE GRAPHS"],"prefix":"10.1142","volume":"02","author":[{"given":"I. WAYAN","family":"SUDARSANA","sequence":"first","affiliation":[{"name":"Combinatorial and Applied Mathematics Research Group, Department of Mathematics, Faculty of Mathematics and Natural Sciences, Tadulako University (UNTAD), Jalan Soekarno-Hatta, Km. 8 Palu 94118, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"HILDA","family":"ASSIYATUN","sequence":"additional","affiliation":[{"name":"Combinatorial Mathematics Research Group, Department of Mathematics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung (ITB), Jalan Ganesha, No. 10 Bandung 40132, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"family":"ADIWIJAYA","sequence":"additional","affiliation":[{"name":"Computational Science Research Group, Faculty of Science, Institut Teknologi Telkom (IT TELKOM), Jalan Telekomunikasi No. 1 Bandung 40257, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"SELVY","family":"MUSDALIFAH","sequence":"additional","affiliation":[{"name":"Combinatorial and Applied Mathematics Research Group, Department of Mathematics, Faculty of Mathematics and Natural Sciences, Tadulako University (UNTAD), Jalan Soekarno-Hatta, Km. 8 Palu 94118, Indonesia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,4,6]]},"reference":[{"key":"rf1","first-page":"173","volume":"71","author":"Ali K.","journal-title":"J. Combin. Math. Combin. Comput."},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2006.06.011"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2008.06.018"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/0095-8956(71)90016-5"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1002\/jgt.3190010118"},{"key":"rf6","first-page":"21","volume":"17","author":"Burr S. A.","journal-title":"Ars Combin."},{"key":"rf7","first-page":"167","volume":"10","author":"Gerencser L.","journal-title":"Annales Universitatis Scientiarum Budapestinensis, Eotvos Sect. Math."},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2007.04.026"},{"key":"rf9","first-page":"85","volume":"4535","author":"Hasmawati","journal-title":"LNCS"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1006\/jcss.2000.1729"},{"key":"rf12","first-page":"257","volume":"71","author":"Sudarsana I. W.","journal-title":"J. Combin. Math. Combin. Comput."}],"container-title":["Discrete Mathematics, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1793830910000784","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T17:15:40Z","timestamp":1565111740000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S1793830910000784"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,12]]},"references-count":11,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2012,4,6]]},"published-print":{"date-parts":[[2010,12]]}},"alternative-id":["10.1142\/S1793830910000784"],"URL":"https:\/\/doi.org\/10.1142\/s1793830910000784","relation":{},"ISSN":["1793-8309","1793-8317"],"issn-type":[{"value":"1793-8309","type":"print"},{"value":"1793-8317","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,12]]}}}