A Note on Matchings and Regularity of Graphs
Year: 2025
Type: article
Abstract: Let 𝐺 be a simple graph. We introduce the notion of comb- match(𝐺), and prove that reg(𝐼(𝐺)) ≤ comb-match(𝐺)+1. This improves some known bounds. Keywords: Regularity; edge ideal; matching; Cameron- Walker graph
Author: DAO Thi Thanh Ha
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408769070
