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Line graph of combinations of generalized Bethe trees: Eigenvalues and energy
- Source :
-
Linear Algebra & its Applications . Nov2011, Vol. 435 Issue 10, p2402-2419. 18p. - Publication Year :
- 2011
-
Abstract
- Abstract: We characterize the eigenvalues and energy of the line graph whenever is (i) a generalized Bethe tree, (ii) a Bethe tree, (iii) a tree defined by generalized Bethe trees attached to a path, (iv) a tree defined by generalized Bethe trees having a common root, (v) a graph defined by copies of a generalized Bethe tree attached to a cycle and (vi) a graph defined by copies of a star attached to a cycle; in this case, explicit formulas for the eigenvalues and energy of are derived. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 435
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 61259260
- Full Text :
- https://doi.org/10.1016/j.laa.2010.10.008