Graph theory: Solution to '3 utilities problem' could lead to better computers Date: August 17, 2020 Source: University of Copenhagen Summary: Researchers thought that they were five years away ...

Bisection problems, in particular, focus on the nearly equal division of a graph and are closely linked to studies in spectral graph theory and approximation algorithms.

As we approach the 300th year of graph theory, we can reflect on what this field has offered humanity and where it is going next. Simply put, graph theory studies connections between objects.

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 ...

One way to detect this problem is by using time series data to calculate demographic synchrony within mega-patches. We present a framework for identifying subpopulations in mega-patches using a ...

Euler observed that the only relevant information here are the land masses (the nodes) and the connections between them (the bridges, or edges), which reduces the problem to a simple graph.

A new computer program fashioned after artificial intelligence systems like AlphaGo has solved several open problems in combinatorics and graph theory.

It would be interesting to find a vertex transitive graph whose matching polynomial has a nonsimple root. Such a graph would not have a hamiltonian path (see [1,2]) and would disprove a conjecture of ...