Published December 19, 2014 | Version v1

On a Class of Laplacian Integral Graphs

  • 1. Manipal Institute of Technology, Manipal University, Manipal
  • 2. ETH Zürich

Description

A graph whose adjacency (Laplacian) matrix has a spectrum consisting only of integers is called (Laplacian) integral. We observe that a certain class of digraphs is integral as well as Laplacian integral. We then construct a class of Laplacian integral undirected graphs, and discuss the relation between their spectrum and structure.

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On a Class of Laplacian Integral Graphs.pdf

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