Probing The Labelling and Isomorphic Graph of Generalized Fibonacci Caterpillar Tree

摘要：

　　All trees are graceful has not been proven.Applying the construction method to show every generalized Fibonacci caterpillar tree is a set-ordered odd graceful graph meanwhile every generalized Fibonacci caterpillar tree not only have an odd-elegant labelling but also possess a super total graceful labelling.On this basis,we prove that the isomorphic graph of generalized Fibonacci caterpillar tree is a set-ordered graceful graph as well as a super total graceful graph.Finally,we show each generalized Fibonacci caterpillar sun-tree is a felicitous graph.

关键词： generalized Fibonacci caterpillar tree isomorphic tree styling set-ordered odd graceful labelling odd-elegant labelling super total graceful labelling sun-tree felicitous graph

作者: Bei-bei WANG Xin-sheng LIU Bing YAO Li-juan QI

作者单位: College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China Department of Basic Science of Lanzhou Polytechnical University, Lanzhou, China

会议类型: 国际会议

会议名称: 2016 2nd International Conference on Mechanical, Electronic and Information Technology Engineering(2016机械、电子和信息技术国际会议)

会议地点: 重庆

会议语种:英文

页码: 111-115

在线出版日期: 2016-03-21（万方平台首次上网日期，不代表论文的发表时间）