• Mathematics, Computer Science
  • Published in SIAM J. Discrete Math. 2007
  • DOI:10.1137/050624029

The Spectrum of the Corona of Two Graphs

@article{Barik2007TheSO,
  title={The Spectrum of the Corona of Two Graphs},
  author={Sasmita Barik and Sukanta Pati and B. K. Sarma},
  journal={SIAM J. Discrete Math.},
  year={2007},
  volume={21},
  pages={47-56}
}
We consider only simple graphs. Given two graphs $G$ with vertices $1,\ldots,n$ and $H$, the corona $G\circ H$ is defined as the graph obtained by taking $n$ copies of $H$ and for each $i$ inserting edges between the $i$th vertex of $G$ and each vertex of the $i$th copy of $H$. For a connected graph $G$ and any $r$-regular graph $H$ we provide complete information about the spectrum of $G\circ H$ using the spectrum of $G$ and spectrum of $H$. Complete information about the Laplacian spectrum of… CONTINUE READING

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