On sum of powers of the Laplacian and signless Laplacian eigenvalues of graphs
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SCOPUS
- Title
- On sum of powers of the Laplacian and signless Laplacian eigenvalues of graphs
- Authors
- Akbari, S; Ghorbani, E; Koolen, JH; Oboudi, MR
- Date Issued
- 2010-08-16
- Publisher
- ELECTRONIC JOURNAL OF COMBINATORICS
- Abstract
- Let G be a graph of order n with signless Laplacian eigenvalues q(1),...,q(n) and Laplacian eigenvalues mu(1),...,mu(n). It is proved that for any real number alpha with 0 < alpha <= 1 or 2 <= alpha < 3, the inequality q(1)(alpha) + ... + q(n)(alpha) >= mu(alpha)(1) + ... + mu(alpha)(n) holds, and for any real number beta with 1 < beta < 2, the inequality q(1)(beta) + ... + q(n)(beta) <= mu(beta)(1) + ... + mu(beta)(n) holds. In both inequalities, the equality is attained (for alpha is not an element of {1,2}) if and only if G is bipartite.
- Keywords
- INCIDENCE ENERGY
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/25569
- DOI
- 10.37236/387
- ISSN
- 1077-8926
- Article Type
- Article
- Citation
- ELECTRONIC JOURNAL OF COMBINATORICS, vol. 17, no. 1, 2010-08-16
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- There are no files associated with this item.
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