In this paper, we consider the notion of the Smarandache curves by considering the asymptotic orthonormal frames of curves lying fully on lightlike cone in Minkowski 3- space R3 1. We give the relationships between Smarandache curves and curves lying on lightlike cone in R31.

In this issue, there are 12 papers following: Paper 1: Smarandache Curves of Curves lying on Lightlike Cone. Paper 2: Intuitionistic fuzzy graph. Paper 3: Smarandachely dominating. Paper 4: Cohen-Macaulay of Ideal. Paper 5: Conformal (k, μ)-Contact Manifold. Paper 6: First and second Zagreb indices. Paper 7: Number of spanning trees. Paper 8: Smarandachely strong dominating set. Paper 9: Smarandachely equitable dominating set. Paper 10: Smarandachely cordial labeling, Smarandachely cordial graph. Paper 11: Smarandachely equitable dominating set. Paper 12: Smarandachely cordial labeling.

In this paper, we study the Smarandache curves according to the asymptotic orthonormal frame in Null Cone Q3. By using cone frame formulas, we obtain some characterizations of the Smarandache curves and introduce cone frenet invariants of these curves.

As it is well-known, the geometry of curve in three-dimensions is actually characterized by Frenet vectors. In this paper, we obtain Smarandache curves by using cone frame formulas in null cone Q3 . Also, we give an example related to these curves.

In this paper, we give Smarandache curves according to the asymptotic orthonormal frame in null cone Q2. By using cone frame formulas, we present some characterizations of Smarandache curves and calculate cone frenet invariants of these curves. Also, we illustrate these curves with an example.

As it is well-known, the geometry of curve in three-dimensions is actually characterized by Frenet vectors. In this paper, we obtain Smarandache curves by using cone frame formulas in null cone Q3 . Also, we give an example related to these curves.

In this paper, we introduce the equiform-Bishop frame of a spacelike curve r lying fully on S21 in Minkowski 3-space R31. By using this frame, we investigate the equiform-Bishop Frenet invariants of special spacelike equiform-Bishop Smarandache curves of a spacelike base curve in R31 . Furthermore, we study the geometric properties of these curves when the spacelike base curve r is specially contained in a plane. Finally, we givea computational example to illustrate these curves.