Erdős–Pósa Property in Graph Theory Publication Trend The graph below shows the total number of publications each year in Erdős–Pósa Property in Graph Theory.

The main challenge here lies in devising a mathematically acceptable proof of this impossibility, which is where the foundations for what we today know as graph theory.

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 ...