[HTML][HTML] A review of regional energy internet in smart city from the perspective of energy community

M Guo, M Xia, Q Chen - Energy Reports, 2022 - Elsevier
Energy internet (EI) has developed from concept and theoretical framework to practical
operation, attracting more and more attention. The application of complex network analysis …

On the eccentricity matrices of trees: Inertia and spectral symmetry

I Mahato, MR Kannan - Discrete Mathematics, 2022 - Elsevier
The eccentricity matrix E (G) of a connected graph G is obtained from the distance matrix of
G by keeping the largest nonzero entries in each row and each column, and leaving zeros in …

Spectral determination of graphs with one positive anti-adjacency eigenvalue

X Lei, J Wang - Applied Mathematics and Computation, 2022 - Elsevier
The anti-adjacency matrix (or eccentricity matrix) of a graph is obtained from its distance
matrix by retaining for each row and each column only the largest distances. This matrix can …

The eccentricity matrix of a digraph

X Yang, L Wang - Discrete Applied Mathematics, 2022 - Elsevier
The eccentricity matrix of a digraph is obtained from the distance matrix by keeping the
largest distances in each row and each column, and leaving 0 in the remaining ones …

On the largest and least eigenvalues of eccentricity matrix of trees

X He, L Lu - Discrete Mathematics, 2022 - Elsevier
The eccentricity matrix ε (G) of a graph G is constructed from the distance matrix of G by
keeping only the largest distances for each row and each column. This matrix can be …

The Complete Classification of Graphs whose Second Largest Eigenvalue of the Eccentricity Matrix is Less Than 1

JF Wang, XY Lei, SC Li, Z Stanić - Acta Mathematica Sinica, English Series, 2024 - Springer
The eccentricity matrix of a graph is obtained from the distance matrix by keeping the entries
that are largest in their row or column, and replacing the remaining entries by zero. This …

[PDF][PDF] Proof of a conjecture on the ϵ-spectral radius of trees

J Li, L Qiu, J Zhang - AIMS Math., 2023 - aimspress.com
The ϵ-spectral radius of a connected graph is the largest eigenvalue of its eccentricity
matrix. In this paper, we identify the unique n-vertex tree with diameter 4 and matching …

Minimizers for the energy of eccentricity matrices of trees

I Mahato, M Rajesh Kannan - Linear and Multilinear Algebra, 2024 - Taylor & Francis
The eccentricity matrix of a connected graph G, denoted by E (G), is constructed from the
distance matrix of G by keeping only the largest nonzero elements in each row and each …

Graphs with large multiplicity of− 2 in the spectrum of the eccentricity matrix

X Gao, Z Stanić, J Wang - Discrete Mathematics, 2024 - Elsevier
The eccentricity matrix of a simple connected graph is obtained from the distance matrix by
keeping only the entries that are largest in at least one of their row or column. This matrix …

Inertia and spectral symmetry of eccentricity matrices of some clique trees

X Li, J Wang, M Brunetti - arXiv preprint arXiv:2209.05248, 2022 - arxiv.org
The eccentricity matrix $\mathcal E (G) $ of a connected graph $ G $ is obtained from the
distance matrix of $ G $ by leaving unchanged the largest nonzero entries in each row and …