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math.CO2026
The Loopy Polynomial: from Tutte's Universal -Function to Bizonotopal Geometry
Anatol Kirillov, Gleb Nenashev, Boris Shapiro +1
We study the loopy polynomial L_G, a multivariate graph invariant arising from bizonotopal graphical algebras and defined by deletion and loopy contraction, in which the contracted…
math.OA2026
Hypercube subgroups of (outer) reduced Weyl groups of the Cuntz algebras
Francesco Brenti, Roberto Conti, Gleb Nenashev
We develop some tools, of an algebraic and combinatorial nature, which enable us to obtain a detailed description of certain quadratic subgroups of the (outer) reduced Weyl group o…