The weighted maximal planar graph (WMPG) is practically important in the laying out of facilities in modern manufacturing environments. Given a weighted complete graph, the WMPG seeks to find a ...

An innovative approach to solving a stubborn, but elementary, question in graph theory — the mathematical study of networks of nodes and their connections — may signal the first major theoretical ...

Chemical graph theory provides a rigorous framework for representing molecular structures as graphs, where vertices denote atoms and edges represent bonds. This mathematical abstraction facilitates ...

Basic concepts of Graph Theory are discussed which are relevant to solving problems of locating economic activities within a service or manufacturing facility. The location problem is formulated in ...

Back in the hazy olden days of the pre-2000s, navigating between two locations generally required someone to whip out a paper map and painstakingly figure out the most optimal route between those ...

Researchers thought that they were five years away from solving a math riddle from the 1980's. In reality, and without knowing, they had nearly cracked the problem and had just given away much of the ...