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.

Amir Dembo, Andrea Montanari, ISING MODELS ON LOCALLY TREE-LIKE GRAPHS, The Annals of Applied Probability, Vol. 20, No. 2 (April 2010), pp. 565-592 ...

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 ...