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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …