Betti Numbers of Edge Ideals of Weighted Oriented Crown Graphs
Abstract
We compute the multigraded Betti numbers of edge ideals for weighted oriented crown graphs using a novel approach. This approach, which we still call the induced subgraph approach, originates from our prior work on computing Betti numbers of normal edge rings(see WL). Notably, we prove that the total Betti numbers of edge ideals for weighted oriented crown graphs are independent of the weight function.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.