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In this paper, we study the problem of computing quality fault-tolerant virtual backbone in homogeneous wireless network, which is defined as the -connected -dominating set problem in a unit disk graph. This problem is NP-hard, and thus many efforts have been made to find a constant factor approximation algorithm for it, but never succeeded so far with arbitrary and pair. We propose...
In this paper, we study the problem of constructing quality fault-tolerant Connected Dominating Sets (CDSs)in homogeneous wireless networks, which can be defined as minimum k-Connected m-Dominating Set ((k,m)-CDS) problem in Unit Disk Graphs (UDGs). We found that every existing approximation algorithm for this problem is incomplete for k ??3 in a sense that it does not generate a feasible solution...
Based on discrete Hermite-Gaussian-like functions, a discrete fractional Fourier transform (DFRFT), which provides sample approximations of the continuous fractional Fourier transform, was defined and investigated recently. In this paper, we propose a novel nearly tridiagonal matrix, which commutes with the generalized discrete Fourier transform (GDFT) matrix. It doesn't has repeated eigenvalue. We...
The values of a board have a direct relationship with the grading determined by the number and distribution of defects. Currently, wood defects recognition research are one of the key interests in the wood industry. In this paper, DWT and NMF are employed and we apply the decomposition to wood feature selection. The feature images by DWT can describe the characteristics and differences of the defects...
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