Two phosphonium-derived ionic liquids: trihexyltetradecylphosphonium bis(2-ethylhexyl)phosphate (IL1) and tricyanomethanide (IL2) were used as additives in lithium complex- (G1) anhydrous calcium-based (G2) greases at 5 wt%. Friction torque wear tests performed using a modified four-ball machine for testing rolling bearings order to determine the friction reducing properties of these grease sam...

Let α(G) and β(G) be the independent number and vertex covering number of G, respectively. The Kronecker Product G1 ⊗ G2 of graph of G1 and G2 has vertex set V (G1 ⊗ G2) = V (G1) × V (G2) and edge set E(G1 ⊗ G2) = {(u1v1)(u2v2)|u1u2 ∈ E(G1) and v1v2 ∈ E(G2)}. In this paper, let G is a simple graph with order p, we prove that, α(Km,n⊗G)= max {(m+n)α(G),p max{m,n}} and β(Km,n⊗G) =min {(m + n)β(G)...

Let G1 and G2 be graphs on n vertices. If there are edge-disjoint copies of G1 and G2 in Kn, then we say there is a packing of G1 and G2. A conjecture of Bollob as and Eldridge [5] asserts that, if ( (G1) + 1)( (G2) + 1) n+ 1 then there is a packing of G1 and G2. We prove this conjecture when (G1) = 3, for su ciently large n.