RUN: Change in vertex status after removal of another vertex in the general setting

Utilize este identificador para referenciar este registo: http://hdl.handle.net/10362/135559

Título:	Change in vertex status after removal of another vertex in the general setting
Autor:	Johnson, Charles R. Saiago, Carlos M. Toyonaga, Kenji
Palavras-chave:	Combinatorially symmetric Eigenvalue Geometric multiplicity Graph of a matrix Tree Algebra and Number Theory Numerical Analysis Geometry and Topology Discrete Mathematics and Combinatorics
Data:	1-Mar-2021
Resumo:	In the theory of multiplicities for eigenvalues of symmetric matrices whose graph is a tree, it proved very useful to understand the change in status (Parter, neutral, or downer) of one vertex upon removal of another vertex of given status (both in case the two vertices are adjacent or non-adjacent). As the subject has evolved toward the study of more general matrices, over more general fields, with more general graphs, it is appropriate to resolve the same type of question in the more general settings. “Multiplicity” now means geometric multiplicity. Here, we give a complete resolution in three more general settings and compare these with the classical case (216 “Yes” or “No” results). As a consequence, several unexpected insights are recorded.
Descrição:
Peer review:	yes
URI:	http://hdl.handle.net/10362/135559
DOI:	https://doi.org/10.1016/j.laa.2020.11.023
ISSN:	0024-3795
Aparece nas colecções:	Home collection (FCT)