DOAJ Open Access 2014

Bigraphical arrangements

Sam Hopkins David Perkinson

Lihat Sumber DOI

Abstrak

We define the bigraphical arrangement of a graph and show that the Pak-Stanley labels of its regions are the parking functions of a closely related graph, thus proving conjectures of Duval, Klivans, and Martin and of Hopkins and Perkinson. A consequence is a new proof of a bijection between labeled graphs and regions of the Shi arrangement first given by Stanley. We also give bounds on the number of regions of a bigraphical arrangement. The full version of this paper is forthcoming in the $\textit{Transactions of the American Mathematical Society}$

Topik & Kata Kunci

Mathematics

Penulis (2)

Sam Hopkins

David Perkinson

Format Sitasi

APA MLA BibTeX

Hopkins, S., Perkinson, D. (2014). Bigraphical arrangements. https://doi.org/10.46298/dmtcs.2398

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2398

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2398
Akses: Open Access ✓