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      Topological Graphic Passwords And Their Matchings Towards Cryptography

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          Abstract

          Graphical passwords (GPWs) are convenient for mobile equipments with touch screen. Topological graphic passwords (Topsnut-gpws) can be saved in computer by classical matrices and run quickly than the existing GPWs. We research Topsnut-gpws by the matching of view, since they have many advantages. We discuss: configuration matching partition, coloring/labelling matching partition, set matching partition, matching chain, etc. And, we introduce new graph labellings for enriching Topsnut-matchings and show these labellings can be realized for trees or spanning trees of networks. In theoretical works we explore Graph Labelling Analysis, and show first that every graph admits our extremal labellings and set-type labellings in graph theory. Many of the graph labellings mentioned are related with problems of set matching partitions to number theory, and yield new objects and new problems to graph theory.

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          Most cited references 7

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          Adjacent strong edge coloring of graphs

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            On adjacent-vertex-distinguishing total coloring of graphs

             Zhongfu ZHANG (2005)
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              Graphs with only caterpillars as spanning trees

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                Author and article information

                Journal
                26 July 2018
                Article
                1808.03324

                http://creativecommons.org/licenses/by/4.0/

                Custom metadata
                cs.CR cs.DM

                Security & Cryptology, Discrete mathematics & Graph theory

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