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math.CO2022
A strong Gram classification of non-negative unit forms of Dynkin type A
J. A. Jimenez Gonzalez
An integral quadratic form q is usually identified with a bilinear form b such that its Gram matrix with respect to the canonical basis is upper triangular. Two integral quadratic…
math.CO2020
Coxeter invariants for non-negative unit forms of Dynkin type A
Jesús Arturo Jiménez González
Two integral quadratic unit forms are called strongly Gram congruent if their upper triangular Gram matrices are Z-congruent. The paper gives a combinatorial strong Gram invariant…
math.CO2020
A graph theoretical framework for the strong Gram classification of non-negative unit forms of Dynkin type A
Jesus Arturo Jimenez Gonzalez
In the context of signed line graphs, this article introduces a modified inflation technique to study strong Gram congruence of non-negative (integral quadratic) unit forms, and us…