Journal of Lanzhou University of Technology ›› 2022, Vol. 48 ›› Issue (3): 154-162.

• Scientific • Previous Articles     Next Articles

The spectra of distance related matrices of some subdivision join graphs of regular graphs

LU Peng-li, LUAN Rui, LIU Wen-zhi   

  1. School of Computer and Communication, Lanzhou Univ. of Tech., Lanzhou 730050, China
  • Received:2020-12-03 Online:2022-06-28 Published:2022-10-09

Abstract: By using the relationship of the incidence matrix and the adjacency matrices of a regular graph and its line graph, the spectra of the distance matrices, distance Laplacian matrices and distance signless Laplacian matrices of the subdivision-edge join, subdivision-vertex join, subdivision-(vertex-edge) join of two regular graphs are proved to be presented by the adjacency spectra of their original graphs.

Key words: distance spectrum, distance Laplacian spectrum, distance signless Laplacian spectrum

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