The reciprocal distance degree of a vertex v is equal to sum of the reciprocal distance between the vertices v and all the other vertices of the connected graph. In 2019, is defined the Reciprocal Distance signless Laplacian matrix of a undirected, connected, simple and unweighted graph on n vertices, is an n × n symmetric matrix such that the i-th diagonal entry is equal to the reciprocal distance degree of a vertex vi and the (i, j)-entry is equal to the reciprocal distance between the vertices vi and vj if the vertices are different. The spectral radius of a square matrix is the largest absolute value of its eigenvalues. In this work, we show results on the spectral radius and we find bounds for the spectral radius of the Reciprocal Distance signless Laplacian matrix.

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