Projective Dimension of Some Graphs.

In this paper exact values for the projective dimension of edge ideals associated to some star related graphs and product graphs G ... P2, when G = Cn, Kn and upper bounds for the projective dimension when G = Pn, Wn, are obtained. We have proved that pd(Cn+1 ... P2) = 2(n-...n4, pd(Kn ... P2) = 2n-2 and pd(Pn+1 ... P2) = n + 3 + n-32, pd(Wn ... P2) = .... These values are functions of the number of vertices in the corresponding graphs. [ABSTRACT FROM AUTHOR]