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Abstract In this work, the graphs of order n having the second distance Laplacian eigenvalue of multiplicity n − 2 are determined. Besides that, this result also characterizes the graphs… Click to show full abstract
Abstract In this work, the graphs of order n having the second distance Laplacian eigenvalue of multiplicity n − 2 are determined. Besides that, this result also characterizes the graphs where the multiplicity of some distance Laplacian eigenvalue is equal to n − 2 . In addition, all connected graphs of order n where the largest eigenvalue of the distance Laplacian matrix has multiplicity n − 3 are determined. Finally, we determine some graphs with a distance Laplacian eigenvalue having multiplicity n − 3 .
Keywords:
multiplicity;
multiplicities distance;
laplacian eigenvalues;
distance laplacian;
distance;
laplacian eigenvalue
Journal Title: Linear Algebra and its Applications
Year Published: 2018
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Journal Title: Linear Algebra and its Applications
Year Published: 2018
Link to full text (if available)
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recommendations!