With any symmetrizable integer Cartan matrix C∈ SC arn⊆ M n (Z), a Z-invertible Coxeter
matrix Cox C∈ M n (Z) is associated. We study such positive definite matrices up to a strong …

This is the first part of our two part paper with the same title. Following our Coxeter spectral
study in [Fund. Inform.[123 (2013), 447-490] and [SIAM J. Discr. Math. 27 (2013), 827-854] of …

We continue the Coxeter spectral study of the category 𝒰ℬigr m of loop-free edge-bipartite
(signed) graphs Δ, with m≥ 2 vertices, we started in [SIAM J. Discr. Math. 27 (2013), 827 …

This is the second part of our two part paper with the same title. Following our Coxeter
spectral study in [Fund. Inform.[123 (2013), 447-490] and [SIAM J. Discr. Math. 27 (2013) …

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 …

In this two parts article with the same title we continue the Coxeter spectral study of the
category 𝒰ℬigr m of loop-free edge-bipartite (signed) graphs Δ, with m≥ 2 vertices, we …

This paper can be viewed as a third part of our paper [Fund. Inform. 2015, in press].
Following our Coxeter spectral study in [Fund. Inform. 123 (2013), 447-490] and [SIAM J …

We develop a computational technique for classification of a class of signed graphs (called
edge-bipartite graphs), we started in Simson (2013)[42] and Bocian et al.(2014)[6]. Here we …

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 …

We continue the study of finite connected edge-bipartite graphs Δ, with m≥ 2 vertices (a
class of signed graphs), started in [SIAM J. Discrete Math. 27 (2013), 827-854] and …