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Spectral properties of Pascal graphs
Authors:Gi-Sang Cheon  Jang Soo Kim
Affiliation:1. Department of Mathematics, Sungkyunkwan University, Suwon, Republic of Korea.;2. Applied Algebra and Optimization Research Center, Sungkyunkwan University, Suwon, Republic of Korea.
Abstract:We obtain spectral properties of the Pascal graphs by exploring its spectral graph invariants such as the algebraic connectivity, the first three largest Laplacian eigenvalues and the nullity. Some open problems pertaining to the Pascal graphs are given.
Keywords:Pascal graph  Laplacian eigenvalue  algebraic connectivity  nullity
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