IRREDUCIBLE DECOMPOSITION OF SQUARE OF EDGE IDEALS

Tóm tắt

Let R = K[x_1, . . . , x_d] be the polynomial ring in $d$ variables over $K$, $G=(V(G),E(G))$ a graph associated with variables
\{x_1, . . . , x_d\} and I_G an edge ideal. In this paper, we describe the structure of irreducible decompositions of square of edge ideals I^2_G  of the polynomial ring via corner elements and coclique sets.