Derives path-product expansion for free-fermion modes and local conserved charges in generalized free-fermion models from Krylov basis generating function.
The roots of the independence polynomial of a clawfree graph , volume =
2 Pith papers cite this work. Polarity classification is still indexing.
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Derives generating functions for rectangle tilings with Ferrers tiles, proves real-rootedness and interlacing of independence polynomials, links results to OEIS sequences, and shows the two-column case yields real-rooted interlacing sequences.
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Solving models with generalized free fermions II: Path-product expansion and conserved charges
Derives path-product expansion for free-fermion modes and local conserved charges in generalized free-fermion models from Krylov basis generating function.
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Polynomials from tilings of rectangles
Derives generating functions for rectangle tilings with Ferrers tiles, proves real-rootedness and interlacing of independence polynomials, links results to OEIS sequences, and shows the two-column case yields real-rooted interlacing sequences.