@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},
 description={Didactics of Mathematics, 2016, No. 13(17), s. 35-38},
 publisher={Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu},
 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},
}