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Žygimantas Baronėnas

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Open access Sep 2026

Three Algebraic Conjugates with Zero Sum: A Graph-Theoretic Approach

We give an alternative graph-theoretic proof that 20 is the least degree not divisible by 3 of an algebraic number having three distinct conjugates with zero sum. The proof excludes degree 16 through local constraints on vertex-transitive graphs of valency 6. The underlying graph construction can be studied in arbitrar...

Žygimantas Baronėnas, Paulius Drungilas, Jonas Jankauskas · 0 citations

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