{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:28:55Z","timestamp":1753882135845,"version":"3.41.2"},"reference-count":16,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Discrete Math. Algorithm. Appl."],"published-print":{"date-parts":[[2023,4]]},"abstract":"<jats:p> Assume that [Formula: see text] is a complete, and multipartite graph consisting of j partite sets and n vertices in each partite set. For given graphs [Formula: see text], the multipartite Ramsey number (M-R-number) [Formula: see text], is the smallest integer [Formula: see text], such that for any [Formula: see text]-edge-coloring [Formula: see text] of the edges of [Formula: see text], [Formula: see text] contains a monochromatic copy of [Formula: see text] for at least one [Formula: see text]. The size of M-R-number [Formula: see text] for [Formula: see text], the size of M-R-number [Formula: see text] for [Formula: see text] and [Formula: see text], and the size of M-R-number [Formula: see text] for [Formula: see text] and [Formula: see text] have been computed in several papers up to now. In this paper, we determine some lower bounds for the M-R-number [Formula: see text] for each [Formula: see text], and some values of M-R-number [Formula: see text] for some [Formula: see text], and each [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s1793830922500999","type":"journal-article","created":{"date-parts":[[2022,4,19]],"date-time":"2022-04-19T15:08:03Z","timestamp":1650380883000},"source":"Crossref","is-referenced-by-count":0,"title":["The size multipartite Ramsey numbers mj(C3,C3,nK2,mK2)"],"prefix":"10.1142","volume":"15","author":[{"given":"Yaser","family":"Rowshan","sequence":"first","affiliation":[{"name":"Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 66731-45137, Iran"}]},{"given":"Mostafa","family":"Gholami","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan 66731-45137, Iran"}]}],"member":"219","published-online":{"date-parts":[[2022,5,13]]},"reference":[{"volume-title":"Ramsey Theory.","year":"2016","author":"Barton IV L.","key":"S1793830922500999BIB001"},{"issue":"3","key":"S1793830922500999BIB002","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1002\/jgt.20647","volume":"71","author":"Benevides F. 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