منابع مشابه
Lehman matrices
A pair of square 0, 1 matrices A, B such that AB = E + kI (where E is the n × n matrix of all 1s and k is a positive integer) are called Lehman matrices. These matrices figure prominently in Lehman’s seminal theorem on minimally nonideal matrices. There are two choices of k for which this matrix equation is known to have infinite families of solutions. When n = k +k +1 and A = B, we get point-l...
متن کاملThin Lehman Matrices and Their Graphs
Two square 0, 1 matrices A,B are a pair of Lehman matrices if ABT = J + dI, where J is the matrix of all 1s and d is a positive integer. It is known that there are infinitely many such matrices when d = 1, and these matrices are called thin Lehman matrices. An induced subgraph of the Johnson graph may be defined given any Lehman matrix, where the vertices of the graph correspond to rows of the ...
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A conjectural relationship between the GUE partition function with even couplings and certain special cubic Hodge integrals over the moduli spaces of stable algebraic curves is under consideration.
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Most state-of-the-art graph kernels only take local graph properties into account, i.e., the kernel is computed with regard to properties of the neighborhood of vertices or other small substructures only. On the other hand, kernels that do take global graph properties into account may not scale well to large graph databases. Here we propose to start exploring the space between local and global ...
متن کاملStructure of Cubic Matrix Mechanics
We study the structure of cubic matrix mechanics based on threeindex objects. It is shown that there exists a counterpart of canonical structure in classical mechanics. E-mail: [email protected]
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2019
ISSN: 1077-8926
DOI: 10.37236/7947