The linear complexity of a graph
The electronic journal of combinatorics, Tome 13 (2006)
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The linear complexity of a matrix is a measure of the number of additions, subtractions, and scalar multiplications required to multiply that matrix and an arbitrary vector. In this paper, we define the linear complexity of a graph to be the linear complexity of any one of its associated adjacency matrices. We then compute or give upper bounds for the linear complexity of several classes of graphs.
David L. Neel; Michael E. Orrison. The linear complexity of a graph. The electronic journal of combinatorics, Tome 13 (2006). doi: 10.37236/1035
@article{10_37236_1035,
author = {David L. Neel and Michael E. Orrison},
title = {The linear complexity of a graph},
journal = {The electronic journal of combinatorics},
year = {2006},
volume = {13},
doi = {10.37236/1035},
zbl = {1080.05092},
url = {http://geodesic.mathdoc.fr/articles/10.37236/1035/}
}
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