Graph coloring is one of the most important concepts in graph theory and is used in many real-time applications in computer science. It can be defined as a problem of how to assign colors to certain ...

What is the principal hypothesis of Graph hypothesis? In Graph Theory, Handshaking Theorem states in some random Graph, Sum of the levels of all the vertices is double the quantity of edges contained ...

This project was an assignment from Chromatic Graph Theory course, held at the Faculty of Mathematics and Information Science of Warsaw University of Technology. Its purpose was to investiage possible ...

The theory of coloring deals with the problem of labeling parts of a graph to comply with certain rules and avoid specific conflicts. For example, imagine you wanted to color each dot below so that ...

Later we will see that the CR in the definition is borrowed from the Cauchy-Riemann condition in the complex function theory. Theorem 3. If a maximal plane graph is 3-CR-edge coloring, then the graph ...

Graph coloring is one of the most important, well-known and studied subfields of graph theory. Center coloring [1] is the one of the graph coloring techniques. This coloring can be used to solve ...

Sudoku and Graph Theory. Mathematicians find new clues to the popular puzzle. By Julie Rehmeyer. ... solving a sudoku means extending a partial coloring of the graph into a proper coloring.

Colorization-based image coding is a technique to compress chrominance information of an image using a colorization technique. The conventional algorithm applies graph Fourier transform to the ...