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Parsons graphs of matrices

โœ Scribed by Joseph Zaks


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
628 KB
Volume
78
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


Parsons graphs of matrices on Lpn
โœ Zhaoji Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 112 KB

Let R be a finite commutative ring with q elements, d an even integer, and SLd(R) the special linear group on R of dimension d. For any b in R, let Tb(d,q) denote the following graph: (1) V = V(Tb(d,q)) = SLd(R), that is the collection of all the d x d matrices A over R for which det(A) = 1. (2) E

Unimodular Matrices and Parsons Numbers
โœ Aiden Bruen; David Wehlau; Zhang Zhaoji ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 185 KB

Let [A 1 , ..., A m ] be a set of m matrices of size n\_n over the field F such that A i # SL(n, F) for 1 i m and such that A i &A j # SL(n, F) for 1 i< j m. The largest integer m for which such a set exists is called the Parsons number for n and F, denoted m(n, F). We will call such a set of m(n, F

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โœ R.J. Plemmons ๐Ÿ“‚ Article ๐Ÿ“… 1972 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 464 KB
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โœ K.B. Reid ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 630 KB

If G denotes a graph of order n, then the adjacency matf;ix of an orientation G of G can be thought of as the adjacency matrix of a bipartite graph B(G) of order 2n, where the rows and columns correspond to the bipartition of B(G). For agraph H, let k(H) denote the number of connected components of

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โœ Rajeev Motwani ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 182 KB

We consider the problem of constructing a matrix with prescribed row and ร„ 4 column sums, subject to the condition that the off-diagonal entries are in 0, 1 and the diagonal entries are nonnegative integers. The pair of row and column sum vectors is called realizable if such a matrix exists. This is