vol16_pp366-379. 169KB Jun 04 2011 12:05:58 AM
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The fourth column gives the number of rationals in the image of the abundancy index of the first one million natural numbers with numerators less than or equal to n. The fifth
It is shown that if the connected graph of the specified entries of a combinatorially symmetric, partial totally positive matrix is monotonically labeled block clique, then there is
The number of zero eigenvalues in the spectrum of the graph G is called its nullity and is denoted by η ( G ).. This question is of great interest in chemistry, because, as has
The purpose of the present letter is to elucidate this relation between tight mappings, the maximal multiplicity of the second eigenvalue of graph Laplacians and Courant’s nodal
Subgroups of the upper triangular matrix group with maximal derived length and minimal number of generators. Lecture Notes
We then extend the well-known theorem of Schoenberg [7] for Euclidean distance matrices to block distance matrices and characterize a block distance matrix by the eigenvalues of
Theorem 1.2. Proof of Theorem 1.1. We will use the following auxiliary results in the proof.. Let SvwT denote the graph obtained from disjoint graphs S, T by adding an edge joining
An exact general formula for the expected length of the minimal spanning tree (MST) of a connected (possibly with loops and multiple edges) graph whose edges are assigned
