A glimpse into the theory of chessboard complexes
The Teaching of Mathematics, XXIV (2021) no. 2, p. 112
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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.
Classification :
05E45, 55M20, 55M25, 55U10, 91B32, 97K99
Keywords: Shellable complexes, neckless-splitting problem, envy-free division, configuration space/test map scheme.
Keywords: Shellable complexes, neckless-splitting problem, envy-free division, configuration space/test map scheme.
@article{TM2_2021_XXIV_2_a4,
author = {Du\v{s}ko Joji\'c and Sini\v{s}a Vre\'cica and Rade Zivaljevi\'c},
title = {A glimpse into the theory of chessboard complexes},
journal = {The Teaching of Mathematics},
pages = {112 },
year = {2021},
volume = {XXIV},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TM2_2021_XXIV_2_a4/}
}
Duško Jojić; Siniša Vrećica; Rade Zivaljević. A glimpse into the theory of chessboard complexes. The Teaching of Mathematics, XXIV (2021) no. 2, p. 112 . http://geodesic.mathdoc.fr/item/TM2_2021_XXIV_2_a4/