Graphs of Linear Type

Giovanni Molica Bisci, Maurizio Imbesi


There are several papers in graphs theory where are studied algebraic properties of a simple graph . If is the polynomial ring over a field of characteristic zero, is said of linear type if the symmetric and the Rees algebra of its edge ideal over are coincident. A class of graphs of linear type are the Cohen-Macaulay graphs with no even cycles and vertex covering number 3. The above graphs have good properties and a classification of them can be see in [1].

[1] R.H. Villarreal - Monomial Algebras, Dekker Inc., Pure Applied Math., 238 (2001).

[DOI: 10.1685/CSC06116] About DOI

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