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Note for Nikiforov's two conjectures on the energy of trees | | Xueliang Li
; Jianxi Liu
; | | Date: |
4 Jun 2009 | | Abstract: | The energy $E$ of a graph is defined to be the sum of the absolute values of
its eigenvalues. Nikiforov in {it ’’V. Nikiforov, The energy of $C_4$-free
graphs of bounded degree, Lin. Algebra Appl. 428(2008), 2569--2573"} proposed
two conjectures concerning the energy of trees with maximum degree $Deltaleq
3$. In this short note, we show that both conjectures are true. | | Source: | arXiv, 0906.0827 | | Services: | Forum | Review | PDF | Favorites | |
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