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Tur´ an , On some problems of the statistical theory of partitions with application to characters of the symmetric

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A tight upper bound on the algebraic connectivity of G in terms of n and k for the case that k > n/ 2 is provided; the graphs which yield equality in the bound are

In relation to this we remark that the conditions of Conjecture 1.2 are not sufficient for the λ i’s to be the nonzero eigenvalues of a square nonnegative matrix, even when appended

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The graph G is said to be determined by its signless Laplacian spectrum, if any graph having the same signless Laplacian spectrum as G is isomorphic to G..

In this work we first focus on the first-passage percolation problem as described in the last paragraph for certain families of regular, e ff ectively one-dimensional graphs