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.

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.

Cayley graphs provide a powerful and intuitive framework linking group theory with graph theory by representing groups through vertices and edges defined by a generating set. In the realm of ...

D. B. West, Introduction to Graph Theory, Prentice Hall 2001 R. Diestel, Graph Theory, Springer 2010. N. L. Biggs, Discrete Mathematics, OUP 2004 J.A.Bondy and U.S.R. Murty, Graph Theory with ...

Graph Theory, the bedrock of network science, has found extensive application in dissecting the attributes of complex networks, including those of the brain.