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- W3035516904 abstract "The net Laplacian matrix of a signed graph Ġ is defined to be NĠ=DĠ±−AĠ, where DĠ± and AĠ are the diagonal matrix of net-degrees and the adjacency matrix of Ġ, respectively. For a binary vector b, the pair (NĠ,b) is controllable if NĠ has no eigenvector orthogonal to b; we also say that Ġ is net Laplacian controllable for b. In this study we consider the net Laplacian controllability of joins of signed graphs. In particular, we establish all controllable pairs (NĠ,b), where Ġ is a signed threshold graph determined by a (0,1,−1)-generating sequence. This result contains all controllable pairs (LG,b), where LG is the Laplacian matrix of a graph G." @default.
- W3035516904 created "2020-06-19" @default.
- W3035516904 creator A5004612329 @default.
- W3035516904 date "2020-10-01" @default.
- W3035516904 modified "2023-09-26" @default.
- W3035516904 title "Net Laplacian controllability for joins of signed graphs" @default.
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- W3035516904 doi "https://doi.org/10.1016/j.dam.2020.05.011" @default.
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