@misc{Smoluk_Antoni_A_2016, author={Smoluk, Antoni}, identifier={DOI: 10.15611/dm.2016.13.05}, year={2016}, rights={Pewne prawa zastrzeżone na rzecz Autorów i Wydawcy}, publisher={Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu}, description={Didactics of Mathematics, 2016, No. 13(17), s. 35-38}, language={eng}, abstract={The paper includes an inductive proof of the four-color theorem. The notions of producing maps and minimum local colorings are applied.}, title={A simple proof of the four-colors theorem}, type={artykuł}, keywords={minimum local coloring, extension of local coloring, dissecting ring, simple map, production of maps}, }