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math.CO2026
A Characterization of Trees with Trinomial Partial Petrial Polynomials
Qingying Deng, Chaoyang Zhang
The partial Petrial polynomial of a bouquet can be computed from the coranks over GF(2) of matrices obtained by varying the diagonal entries of the adjacency matrix of its intersec…
math.CO2026
Partial-twuality polynomials of matrices
Qingying Deng, Xian'an Jin, Qi Yan
The study of partial-twuality polynomials originates from the classical operations of geometric duality and Petrie duality on cellularly embedded graphs. These involutions generate…