Journal of Jilin University Science Edition

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Generalized Edge Magic Graceful Totally Labellingsfor Apollonian Network Models

SU Jing1, YAN Guanghui2, YAO Bing1,2   

  1. 1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China;2. School of Electronic and Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China
  • Received:2017-06-12 Online:2018-05-26 Published:2018-05-18
  • Contact: YAO Bing E-mail:yybb918@163.com

Abstract: We proposed a new labelling called the generalized edge magic graceful totally labelling, and used a few algorithm of generalized edge magic graceful labelling to encrypt and optimize the Apollonian network models. We chose the algorithm that made the number of magic constants be minimal estimate, and obtained the upper bound.

Key words: Apollonian network model, edge magic graceful totally labelling, algorithm

CLC Number: 

  • O157.5