Edge-Magic Total Labellings of some Network Models
Hong Yu Wang, Bing Yao, Chao Yang, Si Hua Yang, Xiang En Chen, Yao Ming, Zhen Xue Zhao · Applied Mechanics and Materials · 2013
It has been known that edge-symmetric graphs can be used as models of some scale-free networks, such as hierarchial networks and self-similar networks, such as graph colorings can be used for distinguishing objects of communication and informa-tion networks. We study the edge-magic property of edge-symmetric graphs, and construct graphs having edge-magic total labellings from smaller graphs.