The imbalance theorem

16 · John Cook · Aug. 18, 2026, 4:18 p.m.
Summary
The imbalance theorem, now proven by James Alexander Schreib and Yousof Yavari, states that for a given graph, there's another graph that adheres to a specific property involving the degrees of its edges. This blog discusses the theorem's implications and proofs, first introduced by John D. Cook.