Carpathian Journal of Mathematics, Vol. 39, No. 1 (2023), pp. 213-230 (18 pages) The normalized distance Laplacian matrix of a connected graph G, denoted by D𝓛(G), is defined by D𝓛(G) = ...
Let d₁ ≥ d₂ ≥ ··· ≥ dn be the degree sequence of a graph G of order n and μ₁ ≥ μ₂ ≥ ··· ≥ μn = 0 be the Laplacian eigenvalues of G. In this paper, we propose a new conjecture that for any graph G ...
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