Mesh algorithms for Coxeter spectral classification of Cox-regular edge-bipartite graphs with loops, I. Mesh root systems

S Kasjan, D Simson - Fundamenta Informaticae, 2015 - content.iospress.com
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 …

Symbolic algorithms computing Gram congruences in the Coxeter spectral classification of edge-bipartite graphs, I. A Gram classification

D Simson - Fundamenta Informaticae, 2016 - content.iospress.com
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 …

Mesh algorithms for Coxeter spectral classification of Cox-regular edge-bipartite graphs with loops, II. Application to Coxeter spectral analysis

S Kasjan, D Simson - Fundamenta Informaticae, 2015 - content.iospress.com
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) …

A framework for Coxeter spectral analysis of edge-bipartite graphs, their rational morsifications and mesh geometries of root orbits

D Simson - Fundamenta Informaticae, 2013 - content.iospress.com
Following the spectral Coxeter analysis of matrix morsifications for Dynkin diagrams, the
spectral graph theory, a graph coloring technique, and algebraic methods in graph theory …

Symbolic algorithms computing Gram congruences in the Coxeter spectral classification of edge-bipartite graphs, II. Isotropy mini-groups

D Simson - Fundamenta Informaticae, 2016 - content.iospress.com
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 …

Algorithms for isotropy groups of Cox-regular edge-bipartite graphs

S Kasjan, D Simson - Fundamenta Informaticae, 2015 - content.iospress.com
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 …

Congruences of edge-bipartite graphs with applications to Grothendieck group recognition I. Inflation algorithm revisited

A Mróz - Fundamenta INFormaticae, 2016 - content.iospress.com
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 …

Inflation agorithm for Cox-regular postive edge-bipartite graphs with loops

B Makuracki, D Simson… - Fundamenta Informaticae, 2017 - content.iospress.com
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 …

[HTML][HTML] Inflation algorithm for loop-free non-negative edge-bipartite graphs of corank at least two

D Simson, K Zając - Linear Algebra and its Applications, 2017 - Elsevier
We continue the study of finite connected loop-free edge-bipartite graphs Δ, with m≥ 3
vertices (a class of signed graphs), we started in Simson (2013)[48] and M. Gąsiorek et …

Toroidal Algorithms for Mesh Geometries of Root Orbits of the Dynkin Diagram

D Simson - Fundamenta Informaticae, 2013 - content.iospress.com
By applying symbolic and numerical computation and the spectral Coxeter analysis
technique of matrix morsifications introduced in our previous paper [Fund. Inform. 124 …