New Graceful Families on Bipartite Graphs

Shung-Liang Wu1
1National Lien-Ho Institute of Technology Miaoli, Taiwan, R.O.C.

Abstract

A graph with a graceful labeling (an \(\alpha\)-labeling) is called a graceful (\(\lambda\)-graceful) graph. In this paper, six methods for constructing bigger graceful graphs from a given graceful graph or a set of given \(\lambda\)-graceful graphs are provided. Two of which generalize Koh and others’ Theorems in [2, 3].