On the minimal path cover sets of union of certain graphs

DOI10.2989/16073606.2019.1586782zbMath1458.05043OpenAlexW2925197485MaRDI QIDQ5150990

Kazem Khashyarmanesh, Mehrdad Nasernejad

Publication date: 16 February 2021

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2019.1586782

zbMATH Keywords

pathscyclesassociated primestrees

Mathematics Subject Classification ID

Trees (05C05) Paths and cycles (05C38) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) (13P25) Combinatorial aspects of commutative algebra (05E40)

Cites Work

• Path ideals of rooted trees and their graded Betti numbers
• \(M\)-sequences, graph ideals, and ladder ideals of linear type
• Cohen-Macaulay graphs
• Depths and Cohen-Macaulay properties of path ideals
• Algebraic Properties of the Path Ideal of a Tree
• A note on the Alexander dual of path ideals of rooted trees
• On the Alexander dual of the path ideals of rooted and unrooted trees
• Minimal path cover sets and monomial ideals

This page was built for publication: On the minimal path cover sets of union of certain graphs