DOAJ Open Access 2014

Yamanouchi toppling

Robert Cori Domenico Senato Pasquale Petrullo

Lihat Sumber DOI

Abstrak

We study an extension of the chip-firing game. A given set of admissible moves, called Yamanouchi moves, allows the player to pass from a starting configuration $\alpha$ to a further configuration $\beta$. This can be encoded via an action of a certain group, the toppling group, associated with each connected graph. This action gives rise to a generalization of Hall-Littlewood symmetric polynomials and a new combinatorial basis for them. Moreover, it provides a general method to construct all orthogonal systems associated with a given random variable.

Topik & Kata Kunci

Mathematics

Penulis (3)

Robert Cori

Domenico Senato

Pasquale Petrullo

Format Sitasi

APA MLA BibTeX

Cori, R., Senato, D., Petrullo, P. (2014). Yamanouchi toppling. https://doi.org/10.46298/dmtcs.2413

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2413

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2413
Akses: Open Access ✓