Edge colouring is a fundamental concept in graph theory whereby colours are assigned to the edges of a graph such that no two adjacent edges share the same colour. This process is central to ...

Graph Polynomials and Duality in Graph Theory Publication Trend The graph below shows the total number of publications each year in Graph Polynomials and Duality in Graph Theory.

Julia and Python complex system applications in ecology, epidemiology, sociology, economics & finance; network science models including Bianconi-Barabási, Barabási-Albert, Watts-Strogatz, Waxman Model ...

Let G be an undirected graph, G = ( V , E ) with vertex set V and edge set E . Now we define a mapping function f , where f : V ↦ {1,2,..., k }. Then the value f ( v ) of vertex v is the color of v .

Coloring a graph is a known and a classical problem in graph theory. It is also a known NP problem. In a graph G, the solution of coloring a graph is about coloring all the vertices of the graph G in ...

It had always seemed to me that category theory provided no useful perspective on graph theory. But yesterday I learned a small fact that caused me to slightly revise that opinion. It’s that ...

Thus, in the language of graph theory, solving a sudoku means extending a partial coloring of the graph into a proper coloring.