Skew Laplacian energy of digraphs
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In this paper, we consider the Laplacian energy of digraphs. Various approaches for the Laplacian energy of a digraph have been put forward by different authors. We consider the skew Laplacian energy of a digraph as given in Cai et al. (Trans Combin 2:27–37, 2013). We obtain some upper and lower bounds for the skew Laplacian energy which are better than some previous known bounds. We also show every even positive integer is the skew Laplacian energy of some digraphs.
KeywordsLaplacian spectra Skew-Laplacian spectra Skew-Laplacian energy of a diagraph
Mathematics Subject Classification05C50 05C30
The authors would like to express their sincere thanks and gratitude to their Ph.D advisor Prof. S. Pirzada and one of his students Dr. Mushtaq Ahmad for their help and useful suggestions throughout the work.
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