Edge-colored graph theory is a fascinating area of mathematics that studies graphs where edges are assigned colors. This field has gained significant attention due to its applications in various ...

From here graph theory got expanded and generalized into ... an algorithm can then be devised that creates the edges between nodes, taking into account the weight of each node, related to its ...

Graph factorization is a significant area of study in graph theory, focusing on the decomposition ... meaning that for any edge in the graph, there exists a path factor that includes that edge.

This approach echoes the pioneering spirit of Leonard Euler, Father of graph theory whose “Seven Bridges of Königsberg” problem introduced foundational principles in the field. By conceptualizing ...

But in theory, there is no guarantee ... "No matter what graph we start with, after randomly flipping some edges or connections between the nodes, we show that algorithms based on color refinement ...