Graceful labeling of arrow graphs and double arrow graphs

V. J. Kaneriaa,* M. M. Jariyab and H. M. Makadiac

Graceful labeling of arrow graphs and double arrow graphs

Authors :

V. J. Kaneria^a,*M. M. Jariya^b and H. M. Makadia^c

Author Address :

^aDepartment of Mathematics, Saurashtra University, Rajkot-360005, India.
^bDepartment of Mathematics, V.V.P. Engineering College, Rajkot-360005, India.
^cDepartment of Mathematics, Government Engineering College, Rajkot-360005, India.

*Corresponding author.

Abstract :

In this paper we define arrow graph and double arrow graph. We also prove that arrow graphs $A_{n}^{2}$, $A_{n}^{3}$,$A_{n}^{5}$ are graceful and double arrow graphs $DA_{n}^{2}$ and $DA_{n}^{3}$ are graceful.

Keywords :

Graceful labeling, arrow graph, double arrow graph.

DOI :

Article Info :

Received : April 10, 2015; Accepted : August 23, 2015.