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- W2393028428 abstract "Let K_n be the complete graph with n vertices,f(n)the smallest positive integer satisfying the following condition:For any positive integer m≥f(n),there is an m-edge coloring of K_n,such that every K_4 in K_n gets at least 5 colors.Erd(?)s and Gy(?)rf(?)s gave the upper-lower bound of f(n):2/3nf(n)n;and proved f(9)=8.Tang ming-yuan proved f(10)= 9;and improved the lower bound of f(n):f(n)2/3n+1.We proved f(11)=10;and improved the lower bound of f(n) again:f(n)1/8(6n-5),(n≥20).In this paper,two necessarily and sufficient condition for the five-color K_4 prob- lem is given." @default.
- W2393028428 created "2016-06-24" @default.
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- W2393028428 date "2007-01-01" @default.
- W2393028428 modified "2023-09-25" @default.
- W2393028428 title "Two necessary and sufficient conditions for the five-color K_4 problem" @default.
- W2393028428 hasPublicationYear "2007" @default.
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