Explicit Boij-Soderberg theory of ideals from a graph isomorphism reduction

Autor:	Engstrom, Alexander, Jakobsson, Laura, Orlich, Milo
Rok vydání:	2018
Předmět:	Mathematics - Commutative Algebra Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	In the origins of complexity theory Booth and Lueker showed that the question of whether two graphs are isomorphic or not can be reduced to the special case of chordal graphs. To prove that, they defined a transformation from graphs G to chordal graphs BL(G). The projective resolutions of the associated edge ideals is manageable and we investigate to what extent their Betti tables also tell non-isomorphic graphs apart. It turns out that the coefficients describing the decompositions of Betti tables into pure diagrams in Boij-Soderberg theory are much more explicit than the Betti tables themselves, and they are expressed in terms of classical statistics of the graph G. Comment: 19 pages and 2 figures Update: fixed minor typos, added fundamental definitions and references, no new results
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1810.10055 Zobrazit plný text záznamu View this record from Arxiv