Based on the graph generation algorithm, we propose a novel algorithm to solve the problem of D(β)-vertices sum distinguishing edge coloring of some kinds of special graphs. Our main contributions to ...

After the Game: Deeper Exploration Step 1: Recall Graph Coloring Basics Definition: In a graph, a proper vertex coloring assigns colors to each vertex such that no two adjacent (connected) vertices ...

PHP Graph Coloring Algorithm This PHP script demonstrates a graph coloring algorithm that assigns colors to vertices of a graph in a way that no adjacent vertices have the same color. It uses a ...

Graph colouring is a fundamental problem in both theoretical and applied combinatorics, with significant implications for computer science, operational research and network theory. At its essence ...

That means if a maximal plane graph is 4-vertex coloring, then the graph is 3-CR-edge coloring. Proof. We introduce the 2-demensional linear space: . Let be 3-CR-edge coloring, and the all edges of G ...

Article citations More>> Vitaver, L.M. (1962) Determination of Minimal Coloring of Vertices of a Graph by Means of Boolean Powers of the Incidence Matrix (Russian). Doklady Akademii Nauk SSSR, 147, ...