DOAJ Open Access 2014

Coloring Rings in Species

Jacob White

Lihat Sumber DOI

Abstrak

We present a generalization of the chromatic polynomial, and chromatic symmetric function, arising in the study of combinatorial species. These invariants are defined for modules over lattice rings in species. The primary examples are graphs and set partitions. For these new invariants, we present analogues of results regarding stable partitions, the bond lattice, the deletion-contraction recurrence, and the subset expansion formula. We also present two detailed examples, one related to enumerating subgraphs by their blocks, and a second example related to enumerating subgraphs of a directed graph by their strongly connected components.

Topik & Kata Kunci

Mathematics

Penulis (1)

Jacob White

Format Sitasi

APA MLA BibTeX

White, J. (2014). Coloring Rings in Species. https://doi.org/10.46298/dmtcs.2434

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2434

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2434
Akses: Open Access ✓