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The (n-2,2)-Spectrum of a Graph

math.CO · 2026-05-17 · unverdicted · novelty 7.0

Defines the (n-2,2) component of the S_n-representation of the graph element X_G, derives its edge-space model and trace moments in terms of support-forest counts, and proves that a weighted trace polynomial reconstructs all trees from the second moment except for one exceptional n.

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  • The (n-2,2)-Spectrum of a Graph math.CO · 2026-05-17 · unverdicted · none · ref 2

    Defines the (n-2,2) component of the S_n-representation of the graph element X_G, derives its edge-space model and trace moments in terms of support-forest counts, and proves that a weighted trace polynomial reconstructs all trees from the second moment except for one exceptional n.