**Vol. 5, No. 2, August 2011**

**Contents**

**Title:** **Cantor Theorem and Application in Some Fixed Point Theorems in a Generalized Metric Space**

**Authors:** Babli Saha and A. P. Baisnab

**Abstract:** Some useful fixed point Theorems are derived by applying Cantor like Theorem as proved in complete generalized metric spaces.

**PP.** 1-7

**Title:** **E-Cordial and Z _{3}-Magic Labelings in Extended Triplicate Graph of a Path**

**Authors:** E. Bala and K. Thirusangu

**Abstract:** In this paper we prove that the extended triplicate graph (ETG) of finite paths admits product E-cordial, total product E-cordial labelings. We show that ETG of finite paths of length n where n ∉ {4m-3|m∈N} admits E-Cordial, total E-cordial labelings and also we prove the existence of Z_{3 }– magic labeling for the modified Extended Triplicate graph.

**PP.** 8-23

**Title:** **Covering Cover Pebbling Number for Even Cycle Lollipop**

**Authors:** A. Lourdusamy, S. Samuel Jeyaseelan and T. Mathivanan

**Abstract:** In a graph G with a distribution of pebbles on its vertices, a pebbling move is the removal of two pebbles from one vertex and the addition of one pebble to an adjacent vertex. The covering cover pebbling number, denoted by σ(G), of a graph G, is the smallest number of pebbles, such that, however the pebbles are initially placed on the vertices of the graph, after a sequence pebbling moves, the set of vertices with pebbles forms a covering of G. In this paper we determine the covering cover pebbling number for cycles and even cycle lollipops.

**PP.** 24-41

**Title:** **On Pebbling Jahangir Graph**

**Authors:** A. Lourdusamy, S. Samuel Jeyaseelan and T. Mathivanan

**Abstract:** Given a configuration of pebbles on the vertices of a connected graph G, a pebbling move (or pebbling step) is defined as the removal of two pebbles off a vertex and placing one on an adjacent vertex. The pebbling number, f(G), of a graph G is the least number m such that, however m pebbles are placed on the vertices of G, we can move a pebble to any vertex by a sequence of pebbling moves. In this paper, we determine f(G) for Jahangir graph J2,m (m ≥ 8).

**PP.** 42-49

**Title:** **On Smarandache TN Curves in Terms of Biharmonic Curves in the Special Three-Dimensional φ-Ricci Symmetric Para-Sasakian Manifold **ℙ

**Authors:** Talat Körpinar and Essin Turhan

**Abstract:** In this paper, we study SmarandacheTN curves in terms of spacelike biharmonic curves in the special three-dimensional φ-Ricci symmetric para-Sasakian manifold ℙ. We define a special case of such curves and call it Smarandache TN curves in the special three-dimensional φ-Ricci symmetric para-Sasakian manifold ℙ. We construct parametric equations of Smarandache TN curves in terms of biharmonic curve in the special three-dimensional $\phi*$*-Ricci symmetric para-Sasakian manifold ℙ.

**PP. **50-58

**Corrigendum:** There is a mistake at the top of the paper, which indicates volume information as “Vol. 4, No. 1, May 2011”. The correct information should be "Vol. 5, No. 2, August 2011". The mistake is regretted. A corrected version is available here (click).

**Title:** **Biharmonic Curves IN **ℍ²×ℝ

**Authors:** Talat Körpinar and Essin Turhan

**Abstract:** In this paper, we study biharmonic curves in the ℍ²×ℝ. We show that all of them are helices. By using the curvature and torsion of the curves, we give some characterizations biharmonic curves in the ℍ²×ℝ.

**PP.** 59-66

**Corrigendum:** There is a mistake at the top of the paper, which indicates volume information as “Vol. 4, No. 1, May 2011”. The correct information should be "Vol. 5, No. 2, August 2011". The mistake is regretted. A corrected version is available here (click).

**Title:** **Bertrand Mate of Biharmonic Reeb Curves in 3-Dimensional Kenmotsu Manifold**

**Authors:** Talat Körpinar, Gülden Altay and Essin Turhan

**Abstract:** In this article, we study biharmonic Reeb curves in 3-dimensional Kenmotsu manifold. Moreover, we apply biharmonic Reeb curves in special 3-dimensional Kenmotsu manifold K**. **Finally, we characterize Bertrand mate of the biharmonic Reeb curves in terms of their curvature and torsion in special 3-dimensional Kenmotsu manifold K.

**PP.** 67-74

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