The linear complexity of a graph
The electronic journal of combinatorics, Tome 13 (2006)
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.
@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/}
}
David L. Neel; Michael E. Orrison. The linear complexity of a graph. The electronic journal of combinatorics, Tome 13 (2006). doi: 10.37236/1035
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