On weighted directed graphs

  title={On weighted directed graphs},
  author={Ravindra B. Bapat and Dhrubajyoti Kalita and Supriya Pati},
The study of a mixed graph and its Laplacian matrix have gained quite a bit of interest among the researchers. Mixed graphs are very important for the study of graph theory as they provide a setup where one can have directed and undirected edges in the graph. In this article we present a more general structure, namely the weighted directed graphs and supply appropriate generalizations of several existing results for mixed graphs related to singularity of the corresponding Laplacian matrix. We… CONTINUE READING


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