Mathematicians have long sought to develop algorithms that can compare any two graphs. In practice, many ...

The study of such graphs is called graph theory. Engineers need to find planarity in a graph when, for example, they are designing a computer chip without a crossed wire.

Oct. 30, 2019 Alternating Connectivity in Random Graphs presented by Ryan Cushman, Department of Mathematics, Western Michigan University Abstract: In the noisy channel model from coding theory, we ...

How Big Data Carried Graph Theory Into New Dimensions Researchers are turning to the mathematics of higher-order interactions to better model the complex connections within their data.

Graph theory has a lot to say about how phenomena can grow, such as the spread of infectious diseases. There are different graphs, or networks, of relations, and they can affect things such as the ...

Researchers have proved a special case of the Erdős-Hajnal conjecture, which shows what happens in graphs that exclude anything resembling a pentagon.

In real life, most tiles won’t work for your particular kitchen — you’ll have to combine different shapes to cover the whole floor. But in the world of graph theory, the conjecture predicts that the ...

This will include a discussion of several classical questions such as the Minimum Spanning Tree Problem, the Max-Cut Problem, or the Traveling Salesman Problem. Sample topics: building blocks of a ...

Commuting Graphs and Finite Group Theory Publication Trend The graph below shows the total number of publications each year in Commuting Graphs and Finite Group Theory.

Commuting graphs have emerged as a powerful framework for elucidating complex relationships within finite group theory. In these graphs, vertices typically represent non-central elements of a ...