On the minimal energy of unicyclic Hckel molecular graphs possessing Kekul structures
Let G G be any unicyclic Hckel molecular graph with Kekul structures on n n vertices where n?8 n ? 8 is an even number. In [W. Wang, A. Chang, L. Zhang, D. Lu, Unicyclic Hckel molecular graphs with minimal energy, J. Math. Chem. 39 (1) (2006) 231241], Wang etal. showed that if G G satisfies certain conditions, then the energy of G G is always greater than the energy of the radialene graph. In this paper we prove that this inequality actually holds under a much weaker condition.
minimal energy unicyclic graph perfect matching