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GRAPHS CHARACTERIZED BY LAPLACIAN EIGENVALUES |
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Citation: |
ZHANG Xiaodong.GRAPHS CHARACTERIZED BY LAPLACIAN EIGENVALUES[J].Chinese Annals of Mathematics B,2004,25(1):103~110 |
Page view: 1314
Net amount: 657 |
Authors: |
ZHANG Xiaodong; |
Foundation: |
Project supported by the National Natural Science Foundation of China and the Scientific Research
Foundation for the Returned Overseas Chinese Scholars, the Ministry of Education of China. |
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Abstract: |
This paper characterizes all connected graphs with exactly two Laplacian eigenvalues
greater than two and all connected graphs with exactly one Laplacian eigenvalue
greater than three. |
Keywords: |
Graphs spectral theory, Laplacian eigenvalue, Forbidden graph |
Classification: |
05C50, 15A42 |
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