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Title Very well-covered graphs via the Rees algebra
Type Refereeing
Keywords Rees algebras, Normality, Monomial ideals, Edge ideals, Cover ideals, Very well–covered graphs.
Abstract A very well–covered graph is a well–covered graph without isolated vertices such that the size of its minimal vertex covers is half of the number of vertices. If G is a Cohen–Macaulay very well–covered graph, we deeply investigate some algebraic properties of the cover ideal of G via the Rees algebra associated to the ideal, and especially when G is a whisker graph.
Researchers Somayeh Bandari (Referee)