A graph G with n nodes and e edges is said to be t-optimal if G has the maximum number of spanning trees among all graphs with the same number of nodes and edges as G. Hitherto, t-optimal Air Jordan 6
graphs have been characterized for the following cases: 1.(a) n = sp, and e = (s(s - Buy Air Jordan Toronto
1)/2)p2, when s and p are positive integers, and s > 1;2.(b) e ⩽ n + 2;3.(c) e ⩾ n(n - 1)/2 - n/2.In this paper we use algebraic techniques involving eigenvalues to determine t-optimal graphs for e ⩾ n(n - 1)/2 - n + 2. This range is extended to include e = n(n - 1)/2 - n + 1 and e = n(n - 1)/2 - n, provided n(n - 1)/2 - e is a Air Jordan 1 Canada
multiple of three.
Four types of new silicon-based graft blended polymers were developed and drawn to thin film composite membranes on high flux microporous polyetherimide support. The membranes and a 1 μm PDMS membrane as a standard were tested for the flux of the gases N2, O2, Ar, CH4, CO2, CH3Cl, C2H5Cl, C2H6, and n-C4H10 and the vapors methanol (MeOH), t-butyl methyl ether (MTBE), 1, 1, 1-trichloroethane (Cl3Eth), 1, 1, 2-trichlorofluoroethane (Cl3F3Eth), and n-hexane (n-C6H14). Methanol/argon mixtures were used to check the validity of the calculated selectivities. The results show higher performance for the newly developed membranes.