{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T08:08:35Z","timestamp":1649059715553},"reference-count":16,"publisher":"World Scientific Pub Co Pte Lt","issue":"09","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Knot Theory Ramifications"],"published-print":{"date-parts":[[2017,8]]},"abstract":"<jats:p> In this paper, we first investigate the minimal sufficient sets of colors for [Formula: see text] and [Formula: see text]. For odd prime [Formula: see text] and any [Formula: see text]-colorable link [Formula: see text] with [Formula: see text], we give alternative proofs of [Formula: see text] for [Formula: see text] and [Formula: see text] for [Formula: see text]. We also elaborate on equivalence classes of sets of distinct colors (on a given modulus) and prove that there are two such classes of five colors modulo [Formula: see text], and only one such class of five colors modulo 13. <\/jats:p>","DOI":"10.1142\/s0218216517430088","type":"journal-article","created":{"date-parts":[[2017,5,29]],"date-time":"2017-05-29T09:21:50Z","timestamp":1496049710000},"page":"1743008","source":"Crossref","is-referenced-by-count":0,"title":["Minimal sufficient sets of colors and minimum number of colors"],"prefix":"10.1142","volume":"26","author":[{"given":"Jun","family":"Ge","sequence":"first","affiliation":[{"name":"Department of Mathematics, Sichuan Normal University, Chengdu 610066, Sichuan, P. R. China"}]},{"given":"Xian\u2019an","family":"Jin","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Xiamen University, Xiamen 361005, Fujian, P. R. 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