Proof of four-color theorem of normal map

Abstract

Listen

Translate article

The four-color theorem, each map without enclaves can be colored with no more than four colors, but adjacent areas have different colors. In order to prove the four color theorem, I introduced a new concept primitive, base, power half ring, quotes the definition of kemp normal map and the other a conclusion: as long as proof of a normal map satisfy the four-color theorem, the other is normal maps and map is a map of meet the four-color theorem, namely he needed any so-called informal map to color generally smaller than the normal map.