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Cryptography has been around for thousands of years. We propose a new cryptographic model, lock trees and key trees, and our idea differs from current graphical passwords in this paper. Graphs and their labellings are applied to establish the concepts of key-trees and lock-trees based on abundant of graphs having smaller orders and their corresponding double odd-edge labellings. We propose two methods,...
The security of real networks is facing serious challenges and is harder than ever. We propose an idea of “topological structure + number theory” for designing new passwords. By means of graph theory we define a twin odd-graceful tree T = T1 ○ T2 obtained by identifying a certain vertex of T1 with a certain vertex of T2 together. We prove that some particular trees (key-models) can have their associated...
There are famous scale-free network models and small-world network models that bare huge amounts of mass data. We have designed several password tree-spaces by small trees having the total graceful labellings such that every tree T in the password tree-space has a total graceful labelling. For exploring topological passwords consisted of graphic constructions pulsing number theory, we show edge-symmetric...
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