The Non-Edge-Magic Simple Connected Cubic Graph of Order 10

Wai Chee Shiu1
1Department of Mathematics, Hong Kong Baptist University, 224 Waterloo Road, Kowloon Tong, Hong Kong, China.

Abstract

In 2003, Lee, Wang and Wen found a non-edge-magic simple connected cubic graph which satisfying the necessary condition of edge-magicness by using computer search. They asked for a mathematical proof. In this paper, we will provide such a proof.

Keywords: Edge-magic, cubic graph. AMS 2000 MSC: 05078