منابع مشابه
Almost All Palindromes Are Composite
We study the distribution of palindromic numbers (with respect to a fixed base g ≥ 2) over certain congruence classes, and we derive a nontrivial upper bound for the number of prime palindromes n ≤ x as x → ∞. Our results show that almost all palindromes in a given base are composite. ∗MSC Numbers: 11A63, 11L07, 11N69 †Corresponding author 1
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The immanant d () associated with the irreducible character of the symmetric group S n , indexed by the partition of n, acting on an nn matrix A = a ij ] is deened by d (A) = X 2Sn () n Y i=1 a ii(i) : For a tree T on n vertices, let L(T) denote its Laplacian matrix. Let x be an indeterminate variable and I be the n n identity matrix. The immanantal polynomial of T corresponding to d is deened ...
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A non-crossing tree (NC-tree) is a tree drawn on the plane having as vertices a set of points on the boundary of a circle, and whose edges are straight line segments that do not cross. In this paper, we show that NC-trees with size n are conditioned Galton–Watson trees. As corollaries, we give the limit law of depth-first traversal processes and the limit profile of NC-trees.
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1991
ISSN: 0024-3795
DOI: 10.1016/0024-3795(91)90159-t