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Robust absorption for typed triangles

Juan Pablo Traverso Gianini

Palomar Registrypalomar/PALOMAR-2026-10-23-000013Oct 23, 2026math.COscore 0

Typed triangle decomposition results from Paper II: a typical-host theorem under three-step links for four-label families; its nearly complete and balanced deductions with explicit type-weight hypotheses; a semidense two-label mixed-triangle theorem; a computer-assisted typical-host theorem for every admissible four-label family; and a terminal absorber obtained from a bounded signed certificate and explicit physical hinge supply. Divisibility includes global edge counts and local degree profiles. The typical-host hypotheses are retained; the result is not asserted for arbitrary divisible…

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