- Tytuł:
- Graphs Whose Aα-Spectral Radius Does Not Exceed 2
- Autorzy:
-
Wang, Jian Feng
Wang, Jing
Liu, Xiaogang
Belardo, Francesco - Powiązania:
- https://bibliotekanauki.pl/articles/31566069.pdf
- Data publikacji:
- 2020-05-01
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
Aα -matrix
Smith graphs
limit point
spectral radius
index - Opis:
- Let A(G) and D(G) be the adjacency matrix and the degree matrix of a graph G, respectively. For any real α ∈ [0, 1], we consider Aα(G) = αD(G) + (1 − α)A(G) as a graph matrix, whose largest eigenvalue is called the Aα-spectral radius of G. We first show that the smallest limit point for the Aα-spectral radius of graphs is 2, and then we characterize the connected graphs whose Aα-spectral radius is at most 2. Finally, we show that all such graphs, with four exceptions, are determined by their Aα-spectra.
- Źródło:
-
Discussiones Mathematicae Graph Theory; 2020, 40, 2; 677-690
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki
Artykuł