The Erdős–Pósa property forms a pivotal concept in modern graph theory by establishing a profound duality between the problems of packing and covering cycles or other substructures. At its core, this ...

Coxeter theory investigates groups generated by reflections and the geometric structures arising from their actions, such as root systems and Dynkin diagrams. This body of work underpins vast areas of ...

This note proposes a new edge elimination criterion in an algorithm whose purpose is to locate the center of a graph. The new criterion requires the same amount of information and computation but ...