
Textbased Passwords Generated From Topological Graphic Passwords
Topological graphic passwords (Topsnutgpws) are one of graphtype passw...
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Using Chinese Characters To Generate TextBased Passwords For Information Security
Graphical passwords (GPWs) are in many areas of the current world. Topol...
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Computing representation matrices for the action of Frobenius to cohomology groups
This paper is concerned with the computation of representation matrices ...
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Mathematical Foundations of the GraphBLAS
The GraphBLAS standard (GraphBlas.org) is being developed to bring the p...
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Graph Theory Towards New Graphical Passwords In Information Networks
Graphical passwords (GPWs) have been studied over 20 years. We are motiv...
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Graphic Lattices and Matrix Lattices Of Topological Coding
Latticebased Cryptography is considered to have the characteristics of ...
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Topological Graphic Passwords And Their Matchings Towards Cryptography
Graphical passwords (GPWs) are convenient for mobile equipments with tou...
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Topological Coding and Topological Matrices Toward Network Overall Security
A mathematical topology with matrix is a natural representation of a coding relational structure that is found in many fields of the world. Matrices are very important in computation of real applications, s ce matrices are easy saved in computer and run quickly, as well as matrices are convenient to deal with communities of current networks, such as Laplacian matrices, adjacent matrices in graph theory. Motivated from convenient, useful and powerful matrices used in computation and investigation of today's networks, we have introduced Topcodematrices, which are matrices of order 3× q and differ from popular matrices applied in linear algebra and computer science. Topcodematrices can use numbers, letters, Chinese characters, sets, graphs, algebraic groups etc. as their elements. One important thing is that Topcodematrices of numbers can derive easily number strings, since number strings are textbased passwords used in information security. Topcodematrices can be used to describe topological graphic passwords (Topsnutgpws) used in information security and graph connected properties for solving some problems coming in the investigation of Graph Networks and Graph Neural Networks proposed by GoogleBrain and DeepMind. Our topics, in this article, are: Topsnutmatrices, Topcodematrices, Hanzimatrices, adjacency vevalue matrices and panTopcodematrices, and some connections between these Topcodematrices will be proven. We will discuss algebraic groups obtained from the above matrices, graph groups, graph networking groups and number string groups for encrypting different communities of dynamic networks. The operations and results on our matrices help us to set up our overall security mechanism to protect networks.
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