单词 | fourcolour |
释义 | > as lemmasfour-colour four-colour adj. having, or pertaining to the use of, four colours; four-colour problem, the as yet unsolved problem of proving as a mathematical theorem that on any plane map only four colours are needed to give different colours to any regions that have a common boundary. ΘΠ the world > matter > colour > variegation > [adjective] > four colours four-colour1879 tetrachromatic1902 tetrachromic1902 four-chromatic1952 the world > relative properties > number > mathematics > [noun] > mathematical enquiry > proposition > problem > specific problem Deliac problem1636 word problem1903 travelling salesman problem1949 four-colour problem1962 1879 Cayley in Proc. Royal Geogr. Soc. I. 260 The theorem then is, that if an area be partitioned in any manner into areas, these can be, with four colours only, coloured in such wise that in every case two attached areas have distinct colours.] 1879 A. B. Kempe in Amer. Jrnl. Math. 2 200 I will conclude with a theorem... It is one of which I long endeavoured to obtain an independent proof, as a means of solving the four-colour problem. 1897 P. J. Heawood in Q. Jrnl. Math. XXIX. 270 (title) On the four-colour map theorem. 1931 Everyman's Encycl. IV. 209/1 The early years of the twentieth century have seen many improvements in working the three-colour block process, while in America especially the four-colour process has been developed. 1941 R. Courant & H. E. Robbins What is Math.? v. 247 The four color theorem has indeed been proved for all maps containing less than thirty-eight regions. 1941 R. Courant & H. E. Robbins What is Math.? v. 247 In the four color problem the maps may be drawn either in the plane or on the surface of a sphere. 1962 A. Doig tr. C. Berge Theory of Graphs xxi. 214 The following theorem which has never yet been proved is known as the four-colour problem: every planar graph is 4-chromatic. 1967 E. Chambers Photolitho-offset xv. 236 The demand for colour, especially four-colour half-tone work, either for catalogue or carton use, has brought about the development of four and six-colour machines. 1971 Daily Tel. 8 Jan. (Colour Suppl.) 21/4 The best four-colour lithographic printers in the country. four-colour four-colour v. (transitive) . ΘΚΠ the world > matter > colour > variegation > variegate [verb (transitive)] > with four colours four-colour1963 1963 E. L. Johnson in Calif. Univ. Operations Res. Center Rep. No. 28. 8 The edges of the reduced graph G1 can be 4-colored. 1963 E. L. Johnson in Calif. Univ. Operations Res. Center Rep. No. 28. (title) A proof of four-coloring the edges of a regular three-degree graph. < as lemmas |
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