On the multiplicity of α as an eigenvalue of Aα(G) of graphs with pendant vertices
Let $G$ be a simple undirected graph. Let $0\leq \alpha \leq 1$. Let $$A_{\alpha}(G)= \alpha D(G) + (1-\alpha) A(G)$$ where $D(G)$ and $A(G)$ are the diagonal matrix of the vertex degrees of $G$ and the adjacency matrix of $G$, respectively. Let $p(G)>0$ and $q(G)$ be the number of pendant vertic...
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Other Authors: | , |
Format: | article |
Language: | eng |
Published: |
2018
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Subjects: | |
Online Access: | http://hdl.handle.net/10773/23003 |
Country: | Portugal |
Oai: | oai:ria.ua.pt:10773/23003 |