图形密码中层次级联图的几种标号  

Several Labellings of Hierarchical-Graph in Graphical Password

作　　者：王露露 李敬文[1] 姚兵[1,2] WANG Lulu;LI Jingwen;YAO Bing(School of Electronic and Information Engineering,Lanzhou J iaotong University,Lanzhou 730070,China;College of Mathematics and Statistics,North-west Normal University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学电子与信息工程学院,兰州730070 [2]西北师范大学数学与统计学院,兰州730070

出　　处：《吉林大学学报（理学版）》2018年第4期853-858,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11461038;61163010;61163054)

摘　　要：利用图结构加数论的设计思想,将标号应用于研究图形密码中,给出并证明层次级联图的集有序优美标号、强优美标号、一些顶点所具有的性质以及每个顶点任意加叶子形成的奇优美标号.Using the design idea of the structure of graphs and number theory,we applied the labelling to the study of graphical password,gave and proved the set-ordered graceful labelling,the strongly graceful labelling,properties of some vertices and the odd-graceful labelling which was formed by adding the leaves of each vertex.

关 键 词：图形密码 集有序优美标号 强优美标号 奇优美标号 层次级联图 

分 类 号：O157.5[理学—数学]