THE TEACHING OF MATHEMATICS

THE TEACHING OF MATHEMATICS
A glimpse into the theory of chessboard complexes
Duško Jojić, Siniša Vrećica and Rade Živaljević

Abstract

In this paper we review some of recent developments related to chessboard complexes and their generalizations. Focusing on explicit shelling constructions we have opportunity to present some surprising and exciting recent progress, to the necklace-splitting problem and to envy-free division.

Creative Commons License

Keywords: Shellable complexes; neckless-splitting problem; envy-free division; configuration space/test map scheme.

Pages:  112$-$128     

Volume  XXIV ,  Issue  2 ,  2021