Department of Mathematics
Let G be a simple connected graph of order n . Its normalized Laplacian eigenvalues are λ1≥λ2≥⋯≥λn−1≥λn=0. In this paper, new bounds on (β ≠ 0, 1) are derived.
Normalized, Laplacian, Eigenvalue, Bound
Source Publication Title
Applied Mathematics and Computation
© 2017 Elsevier Inc. All rights reserved.
Partially supported by NSF of China (Nos. 11471077, 61379021, 11371372); NSF of Fujian (Nos. 2015J01018, 2016J01673, 2017J01561, 2017J01404); Program for New Century Excellent Talents in Fujian Province University; Project of Fujian Education Department (No. JZ160455); Research Fund of Minnan Normal University (No. MX1603); General Research Fund of Hong Kong; FRG of Hong Kong Baptist University; TÜBİTAK and the Office of Selçuk University Research Project(BAP).
Link to Publisher's Edition
Li, Jianxi, Ji-Ming Guo, Wai Chee Shiu, Ş. Burcu Bozkurt Altındağ, and Durmuş Bozkurt. "Bounding the sum of powers of normalized Laplacian eigenvalues of a graph." Applied Mathematics and Computation 324 (2018): 82-92.