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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Detalhes bibliográficos
Autor principal: Cardoso, Domingos M. (author)
Outros Autores: Pastén, Germain (author), Rojo, Oscar (author)
Formato: article
Idioma:eng
Publicado em: 2018
Assuntos:
Texto completo:http://hdl.handle.net/10773/23003
País:Portugal
Oai:oai:ria.ua.pt:10773/23003