MATEC Web Conf.
Volume 139, 20172017 3rd International Conference on Mechanical, Electronic and Information Technology Engineering (ICMITE 2017)
|Number of page(s)
|05 December 2017
New Algebraic Groups Produced By Graphical Passwords Based On Colorings And Labellings
1 College of Mathematics and Statistics, Northwest of Normal University, Lanzhou 730070, CHINA
2 School of Electronic and Information Engineering, Lanzhou Jiaotong University, Lanzhou 730070, CHINA
3 College of Science, Gansu Agricultural University, Lanzhou 730070, CHINA
* Corresponding author: firstname.lastname@example.org
Safety of plain text passwords has been questioned in current researching information passwords. Graphical passwords are another way for alternative text-based passwords and to improve the user account security. As we are constructing Topsnut-graphical passwords that can be traced to an idea of “Graph structure plus the number theory” proposed first by Hongyu Wang with her colleagues, we find that some of Topsnut-graphical passwords can be composed of algebraic groups under the principle of Abelian additive finite group. We apply the odd-elegant labelling of graph theory to produce Topsnut-graphical passwords, and verify our Topsnut-graphical passwords can form algebraic groups, called labelling graphical groups. Our results can provide those users who have business in two or more banks, and our methods are easily transformed into algorithms with polynomial times.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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