Author

Jianglong Luo

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Preprint Aug 2026

Rank-Three Projections and Minimal Multiplicity Bipartitions of Path Complements

For a graph \(G\) admitting a real symmetric realization with exactly two distinct eigenvalues, \(MB(G)\) is the minimum, over all such realizations, of the smaller of the two eigenvalue multiplicities. Adm, Fallat, Meagher, Nasserasr, Plosker, and Yang asked for this parameter for the complement of a path on at least...

Jin-Tao Fei, Jianglong Luo · 0 citations

Preprint Aug 2026

Common Geodesics Do Not Guarantee Fisher Consistency of the Structured SVM: Minimal Counterexamples and a Tree-Metric Classification

It is shown that this condition is not sufficient for the canonical coordinate-wise argmax decoder, and completely classify positively weighted tree metrics whose vertex set is the output space: argmax consistency holds if and only if the tree is a path.

Jin-Tao Fei, Jianglong Luo · 0 citations