Power graphs provide an innovative way to visualise and analyse the algebraic structure of finite groups. In a power graph, the elements of a finite group serve as vertices, and an edge is drawn ...

The Hadwiger-Nelson problem is a bit different. Instead of considering a finite number of vertices, as there would be on a map, it considers infinitely many vertices, one for each point in the plane.

MARC NOY, VLADY RAVELOMANANA, JUANJO RUÉ, ON THE PROBABILITY OF PLANARITY OF A RANDOM GRAPH NEAR THE CRITICAL POINT, Proceedings of the American Mathematical Society, Vol. 143, No. 3 (MARCH 2015), pp.

Bao-Xuan Zhu ᵃ, Qinglin Lu ᵃ, Unimodality of the Independence Polynomials of Some Composite Graphs, Filomat, Vol. 31, No. 3 (2017), pp. 629-637 ...

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 invaluable way ...

But the concept dates back to the 18th century, when Leonhard Euler laid the foundation of graph theory. Euler was a Swiss scientist and engineer whose solution to the Seven Bridges of Königsberg ...

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.