vol17_pp333-342. 120KB Jun 04 2011 12:06:00 AM
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Tur´ an , On some problems of the statistical theory of partitions with application to characters of the symmetric
By a neighbouring system we mean one with coefficients A, G, K, which are arbitrarily close to the given system but have the same symmetries.Thus, strong stability is a form
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
As the main result (Theo- rem 3.1), we give a complete solution of Problem 1.1 in the case when the eigenvalues of the matrix (1.2) belong to F , and F is an infinite field..
Zero-nonzero patterns, Nilpotent, Ideal saturation, Gr¨ obner basis, Finite fields.. AMS
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