Regularity and projective dimension of some class of well-covered graphs | Zendy

E. Lashani | Zendy; Ali Soleyman Jahan | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Regularity and projective dimension of some class of well-covered graphs

Author(s) -

E. Lashani,

Ali Soleyman Jahan

Publication year - 2016

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1507-109

Subject(s) - mathematics , chordal graph , corollary , combinatorics , class (philosophy) , indifference graph , dimension (graph theory) , discrete mathematics , pathwidth , metric dimension , graph , ideal (ethics) , 1 planar graph , line graph , computer science , artificial intelligence , philosophy , epistemology

In this paper we study the Castelnuovo{Mumf regularity of an edge ideal associated with a graph in a special class of well-covered graphs. We show that if G belongs to the class SQ , then the Castelnuovo{Mumf ord regularity of R=I( G) will be equal to induced matching number of G. For this class of graphs we also compute the projective dimension of the ring R=I( G) . As a corollary we describe these invariants in well-covered forests, well-covered

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research