[HTML][HTML] Coxeter energy of graphs

A Mróz - Linear Algebra and its Applications, 2016 - Elsevier
Coxeter eigenvalues of trees. Additionally, we discuss few … energy-like quantities for the
Coxeter spectra of (di)graphs, including Coxeter energy “normalized” by the trace of the Coxeter

[HTML][HTML] Bounds related to Coxeter spectral measures of graphs

JA de la Peña, JA Jiménez-González - Linear Algebra and its Applications, 2018 - Elsevier
… studied for graphs and digraphs in [13]; the real Coxeter energy was … some general bounds
for Coxeter energies, and comment on … to the study of the Coxeter real energy, where we find …

[HTML][HTML] A Coxeter spectral classification of positive edge-bipartite graphs I. Dynkin types Bn, Cn, F4, G2, E6, E7, E8

D Simson - Linear Algebra and its Applications, 2018 - Elsevier
… A special point of view on the Coxeter spectral classification is presented in a recent paper
by Mróz [28], where a new spectral invariant called Coxeter energy is studied. The reader is …

Momenta of Coxeter transformations

JA de la Peña, JAJ González - Linear Algebra and its Applications, 2021 - Elsevier
… general properties of the Coxeter momenta of a finite directed multi-graph (or quiver) G → ,
… In the latter, the author studies the Coxeter energy CE ( G → ) of a loop-less acyclic quiver G …

Congruences of edge-bipartite graphs with applications to Grothendieck group recognition II. Coxeter type study

A Mróz - Fundamenta Informaticae, 2016 - content.iospress.com
Coxeter-Gram spectral analysis of edge-bipartite graphs (bigraphs), a class of signed graphs.
… a graph. The problem is inspired by recent works of Simson et al. started in [SIAM J. Discr. …

Integrable coxeter groups

MP Bellon, JM Maillard, CM Viallet - Physics Letters A, 1991 - Elsevier
… of the original Coxeter group. F acts as an autotransformations we … We consider a Coxeter
group [3] generated by a … are dense in algeIt is usual to represent Coxeter groups by reflec- …

On Graphs, Groups and Geometry

O Knill - arXiv preprint arXiv:2205.14097, 2022 - arxiv.org
… A major theme is that non-natural groups often can be upgraded to become natural by
extending them to become Coxeter groups. Examples of non-natural groups are cyclic groups …

Line codes generated by finite Coxeter groups

E Biglieri, E Viterbo - IEEE Transactions on Information Theory, 2018 - ieeexplore.ieee.org
… that each node in the Coxeter graph corresponds to a reflection. … interested in groups with
Coxeter graphs of the form (10) … ratio η observing that the average energy associated with the …

Higher Coxeter graphs associated with affine su (3) modular invariants

D Hammaoui, G Schieber… - Journal of Physics A …, 2005 - iopscience.iop.org
… associated with a generalized Coxeter graph. Nevertheless, its … symmetries of the generalized
Coxeter graphs. But let us … quantum symmetries of module graphs are constructed from …

Operations on graph functions and spectral properties of compositions of reflections

EV Kolmykova - Journal of Computational and Engineering …, 2022 - jcem.susu.ru
… account the energy caused by vibrations, rotational movements, etc. If the … graph has cycles
then the spectral properties of various Coxeter transformations associated with such a graph