Y. Yavari

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Preprint Aug 2026

A Proof of the Imbalance Conjecture

For an edge $uv$ of a finite simple graph $G$, its imbalance is $|d_G(u)-d_G(v)|$, and the imbalance multiset $M_G$ consists of the imbalances of all edges of $G$. Kozerenko and Skochko conjectured that $M_G$ is graphic whenever every edge has positive imbalance. We prove this conjecture. The main ingredient is the fol...

James Alexander Schreib, Y. Yavari · 0 citations

Preprint Aug 2026

A Proof of the Imbalance Conjecture

For an edge $uv$ of a finite simple graph $G$, its imbalance is $|d_G(u)-d_G(v)|$, and the imbalance multiset $M_G$ consists of the imbalances of all edges of $G$. Kozerenko and Skochko conjectured that $M_G$ is graphic whenever every edge has positive imbalance. We prove this conjecture. The main ingredient is the fol...

James Alexander Schreib, Y. Yavari · 0 citations

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