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.

“A graph is a good abstraction for a social network, but social networks are so much more. With higher-order systems, there are more ways to model.” Graph theory may show how individuals are connected ...

They presented it in June at the ACM Symposium on Theory of Computing, where they detailed an exponentially better method for checking whether a graph is planar. “The new algorithm is a remarkable ...

The graph below shows the total number of publications each year in Anti-Ramsey Theory in Graphs. References [1] Rainbow disjoint union of P 4 and a matching in complete graphs .

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 ...

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 ...

B. Bollobas, Modern Graph Theory, Springer 1998. Assessment. Exam (90%, duration: 2 hours) in the spring exam period. Coursework (10%) in the WT. Key facts. Department: Mathematics. Total students ...

Graph theory isn’t enough.. The mathematical language for talking about connections, which usually depends on networks—vertices (dots) and edges (lines connecting them)—has been an ...