New Techniques Based On Odd-Edge Total Colorings In Topological Cryptosystem

by   Bing Yao, et al.

For building up twin-graphic lattices towards topological cryptograph, we define four kinds of new odd-magic-type colorings: odd-edge graceful-difference total coloring, odd-edge edge-difference total coloring, odd-edge edge-magic total coloring, and odd-edge felicitous-difference total coloring in this article. Our RANDOMLY-LEAF-ADDING algorithms are based on adding randomly leaves to graphs for producing continuously graphs admitting our new odd-magic-type colorings. We use complex graphs to make caterpillar-graphic lattices and complementary graphic lattices, such that each graph in these new graphic lattices admits a uniformly W-magic total coloring. On the other hands, finding some connections between graphic lattices and integer lattices is an interesting research, also, is important for application in the age of quantum computer. We set up twin-type W-magic graphic lattices (as public graphic lattices vs private graphic lattices) and W-magic graphic-lattice homomorphism for producing more complex topological number-based strings.



page 1

page 2

page 3

page 4


Total Coloring for some classes of Cayley graphs

The Total coloring conjecture states that any simple graph G with maximu...

Graph Set-colorings And Hypergraphs In Topological Coding

In order to make more complex number-based strings from topological codi...

Topological Authentication Technique In Topologically Asymmetric Cryptosystem

Making topological authentication from theory to practical application i...

Topological Interference Management with Adversarial Perturbation

In this paper, we consider the topological interference management (TIM)...

On the Classification of Motions of Paradoxically Movable Graphs

Edge lengths of a graph are called flexible if there exist infinitely ma...

Graphic Lattices and Matrix Lattices Of Topological Coding

Lattice-based Cryptography is considered to have the characteristics of ...

Using Chinese Characters To Generate Text-Based Passwords For Information Security

Graphical passwords (GPWs) are in many areas of the current world. Topol...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.