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.

Mathematicians are currently learning which rules of graph theory also apply for higher-order interactions, suggesting new areas of exploration. That’s the kind of power we’re seeing from hypergraphs, ...

Additionally, research on planar graphs has yielded new insights into the anti-Ramsey numbers for paths and cycles, thereby bridging classical graph theory with geometric constraints [3].

This course examines the basic concepts and techniques of graph theory. The topics to be covered are: fundamental concepts, connectivity and matchings, colourings, extremal problems, Ramsey theory, ...

How to Add Notes to an Excel Chart. Microsoft Excel's quick-format chart and graph features offer a way to instantly convert your data-filled cells into a visual representation such as a pie chart ...

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 ...

Two computer scientists found — in the unlikeliest of places — just the idea they needed to make a big leap in graph theory.

Refining with colors Mathematicians have developed various strategies to compare graphs. Since the 1970s, algorithms have been able to test graph isomorphism, but in exponential time.

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 ...

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.