In this two parts article with the same main title we study a problem of Coxeter-Gram spectral
analysis of edge-bipartite graphs (bigraphs), a class of signed graphs. We ask for a criterion …

We study edge-bipartite graphs (bigraphs), a class of signed graphs, by means of the
inflation algorithm which relies on performing certain elementary transformations on a given …

Let Λ be a k-algebra of finite global dimension. We study tubular families in the Auslander–
Reiten quiver of the bounded derived category D b (Λ) satisfying certain natural axioms. In …

For standard algorithms verifying positive definiteness of a matrix A∈ Mn (R) based on
Sylvester's criterion, the computationally pessimistic case is this when A is positive definite …

We give an algorithmic description of matrix bimodules parametrizing all indecomposable
homogeneous Λ-modules with a fixed slope q over a tubular canonical algebra Λ, for all …

We present a general solution of the isomorphism and multiplicity problems, restricted to the
class of all modules lying in homogeneous tubes, for tame algebras (Theorem 2.4). We …

We show that''almost all''exceptional modules over wild canonical algebra $\Lambda $ can
be described by matrices having coefficients $\lambda_i-\lambda_j $, where …

Motivated by the introduction of the notion of amenable representation type by Elek [Ele17],
we study the conjecture that finite dimensional algebras are of tame representation type if …

In this article, we study modules over wild canonical algebras which correspond to extension
bundles (Kussin et al. Adv Math 237: 194–251, 2013) over weighted projective lines. We …

For standard algorithms verifying positive definiteness of a matrix $ A\in\mathbb {M} _n
(\mathbb {R}) $ based on Sylvester's criterion, the computationally pessimistic case is this …