Eigenspaces of Preserved Graph Laplacian Eigenvalues under Positive Edge-Weight Addition 8GSG7024NW

URI	`m2://res/8GSG7024NW`
Kind	preprint
Creators	Maribel Bueno, Susana Furtado, Javier Pérez
Date	2026-10-09
MSC	35-XX, 47-XX, 58-XX
Subjects	arxiv math.SP
Scope	in

Expressions

e1: version, preprint

Language	en
Date	2026-10-09
Ids	arXiv 2610.14310

Items in this resource

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Inherited eigenvectors	statement	proposition 4.1	arxiv
A large cycle with three updated edges	example	example 7.12	arxiv
Multiplicity after a positive edge update	statement	corollary 6.3	arxiv
Polynomial characterization of the exceptional set	statement	theorem 7.7	arxiv
Reconstruction of the canonical emergent subspace	statement	theorem 6.4	arxiv
AP318KZ037	example	example 7.10	arxiv
BBET9VKBQV	statement	corollary 7.4	arxiv
Orthogonal inherited--emergent decomposition	statement	theorem 5.2	arxiv
Multiplicity of emergence at exceptional weights	statement	theorem 7.11	arxiv
FYRP24M2K3	definition	definition 7.1	arxiv
Characterization of the rescaled edge-difference space	statement	theorem 6.2	arxiv
H96YV01EKW	statement	lemma 7.6	arxiv
Dimension and preservation through inheritance	statement	corollary 4.3	arxiv
A basis of the updated eigenspace	statement	corollary 6.5	arxiv
Single-edge updates	statement	corollary 7.5	arxiv
MP0MGHTE7A	statement	corollary 4.8	arxiv
Weight-dependent emergence after increasing the weight of an existing edge	example	example 3.2	arxiv
QKJHFYK8MM	statement	theorem 4.7	arxiv
Fixed relative update weights	statement	proposition 7.3	arxiv
Weight-dependent emergence after adding a new edge	example	example 3.1	arxiv
Existence of exceptional weights	statement	theorem 7.2	arxiv
The reduced matrix for a one-edge update	example	example 6.6	arxiv
A preliminary multiplicity identity	statement	corollary 5.3	arxiv
WE7VB3KFHY	statement	lemma 5.1	arxiv
Inheritance--emergence dichotomy	statement	theorem 3.3	arxiv
The inherited eigenspace	statement	theorem 4.2	arxiv
XK0BSD72CZ	statement	corollary 7.9	arxiv

Catalogue records

arxiv: 2610.14310 (work)
arxiv_text: 2610.14310 (work)