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cs.DM2022
Spectral Heuristics Applied to Vertex Reliability
Carla Silva Oliveira, Fausto Marques Pinheiro Junior, Jose Andre de Moura Brito
The operability of a network concerns its ability to remain operational, despite possible failures in its links or equipment. One may model the network through a graph to evaluate…
cs.DM2022
On the characteristic polynomial of the -matrix for some operations of graphs
João Domingos G. da Silva, Carla Silva Oliveira, Liliana Manuela G. C. da Costa
Let G be a graph of order with adjacency matrix and diagonal matrix of degree . For every , Nikiforov \cite{VN17} defined the matrix $A_α(G) = αD(G) +…