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A note on Laplacian eigenmaps

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Abstract

In this note, we show that the image of Laplcian eigenmap in 2-dimensional Edclidean space is lied in a parabola.

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Authors and Affiliations

  1. Suzhou Vocational University, Suzhou, 215004, Jiangsu, China

    Rong-ying Pan  (潘荣英)

  2. Department of Mathematics, Shanghai Jiaotong University, Shanghai, 200240, China

    Xiao-dong Zhang  (张晓东)

Authors
  1. Rong-ying Pan  (潘荣英)
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  2. Xiao-dong Zhang  (张晓东)
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Corresponding author

Correspondence to Xiao-dong Zhang  (张晓东).

Additional information

Foundation item: the National Natural Science Foundation of China (No. 10531070), the National Basic Research Program (973) of China (No. 2006CB805901), the National High Technology Research and Development Program (863) of China (No. 2006AA11Z209), and the Grant of Science and Technology Commission of Shanghai Municipality (STCSM No. 09XD1402500)

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Pan, Ry., Zhang, Xd. A note on Laplacian eigenmaps. J. Shanghai Jiaotong Univ. (Sci.) 14, 632–634 (2009). https://doi.org/10.1007/s12204-009-0632-z

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  • DOI: https://doi.org/10.1007/s12204-009-0632-z

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