On the distance spectra of several double neighbourhood corona
Received:May 15, 2018  Revised:November 28, 2018
Key Word: corona   distance spectrum   double neighbourhood corona   super neighbourhood corona distance matrix.  
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xu xiaojing Dalian matritime university 18098862621@163.com 
Wang Zhiping Dalian matritime university  
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Abstract:
      Let G be a connected graph of order n and D(G) be its distance matrix. The distance eigenvalues of G are the eigenvalues of its distance matrix and they form together with their multiplicities the distance spectrum of G. In this article, we give a complete description of the eigenvalues and the corresponding eigenvectors of super neighbourhood corona distance matrix . Further, we give a complete description of the eigenvalues and the corresponding eigenvectors of distance matrix of double neighbourhood corona , when G is a complete graph and G1, G2 is a regular graph.
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