Figure: The graph that we want to color with no neighboring nodes the same color. We want to color this graph so that no neighboring nodes have the same color. Graph coloring is a well-known hard ...

The Welsh-Powell algorithm is a greedy approach to graph vertex coloring. It sorts vertices by their degree in descending order and assigns the smallest possible color to each vertex that does not ...

Edge-Colored Graph Theory is a vibrant area within combinatorics that extends the classical study of graphs by assigning colours to edges. This paradigm not only uncovers subtle structural properties ...

A theorem for coloring a large class of “perfect” mathematical networks could ease the way for a long-sought general coloring proof. Four years ago, the mathematician Maria Chudnovsky faced an all-too ...

ABSTRACT: A graph labeling is the assigning of labels to the vertices, edges, or both (usually non-negative integers), often satisfying some prescribed requirements. This terminology has become ...