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Characterization of extremal graphs from Laplacian eigenvalues and the sum of powers of the Laplacian eigenvalues of graphs

  • Published:2015-07 Issue:7 Volume:338 Page:1252-1263
  • ISSN:0012-365X
  • Container-title:Discrete Mathematics
  • language:en
  • Short-container-title:Discrete Mathematics

Author:

Chen Xiaodan,Das Kinkar Ch.

Funder

Guangxi Natural Science Foundation

National Research Foundation of Korea

Publisher

Elsevier BV

Subject

Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference23 articles.

1. Eigenvalues of the Laplacian of a graph;Anderson;Linear Multil. Algebra,1985

2. Bounding the sum of powers of the Laplacian eigenvalues of graphs;Chen;Appl. Math. J. Chinese Univ.,2011

3. A sharp upper bound for the number of spanning trees of a graph;Das;Graphs Combin.,2007

4. On sum of powers of the Laplacian eigenvalues of graphs;Das;Linear Algebra Appl.,2013

5. Algebraic connectivity of graphs;Fiedler;Czechoslovak Math. J.,1973

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1. Sum of powers of the Laplacian eigenvalues and the kirchhoff index of a graph;Applied Mathematics and Computation;2023-06

2. On distance Laplacian spectral determination of complete multipartite graphs;Applied Mathematics and Computation;2023-04

3. Some Observations on the Laplacian-Energy-Like Invariant of Trees;Discrete Mathematics Letters;2022-11-23

4. On the sum of powers of the $ A_{\alpha} $-eigenvalues of graphs;Mathematical Modelling and Control;2022

5. SOME NEW LOWER BOUNDS FOR THE KIRCHHOFF INDEX OF A GRAPH;Bulletin of the Australian Mathematical Society;2017-10-04
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