Extremal energies of trees with a given domination number |
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Authors: | Kexiang Xu Lihua Feng |
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Affiliation: | a College of Science, Nanjing University of Aeronautics & Astronautics, Nanjing, PR China b Department of Mathematics, Central South University, Changsha, PR China c School of Mathematics, Shandong Institute of Business and Technology, Yantai, PR China |
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Abstract: | The energy of a graph is defined as the sum of the absolute values of the eigenvalues of its adjacency matrix. Let T(n,γ) be the set of trees of order n and with domination number γ. In this paper, we characterize the tree from T(n,γ) with the minimal energy, and determine the tree from T(n,γ) where n=kγ with maximal energy for . |
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Keywords: | 05C05 05C35 05C90 |
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