algorithms-optimization / Graph algorithms

The Papamanthou-Tollis Conjecture on Parameterized st-Orientations

On the basis of experiments up to 5000 nodes, Papamanthou and Tollis conjectured a relation between the longest paths produced by their MaxSTN and MinSTN algorithms for $st$-orientations of biconnected graphs. A counterexample refutes it.

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algorithms-optimizationJun 12, 2026Significance 10/100Registry: site confirmed

The Papamanthou-Tollis Conjecture on Parameterized st-Orientations

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On the basis of experiments up to 5000 nodes, Papamanthou and Tollis conjectured a relation between the longest paths produced by their MaxSTN and MinSTN algorithms for $st$-orientations of biconnected graphs. A counterexample refutes it.

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On the basis of experiments up to 5000 nodes, Papamanthou and Tollis conjectured a relation between the longest paths produced by their MaxSTN and MinSTN algorithms for $st$-orientations of biconnected graphs. A counterexample refutes it.

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The Papamanthou-Tollis Conjecture on Parameterized st-Orientations — Mathematical Frontier Network