More hyperenergetic molecular graphs

被引:13
|
作者
Koolen, JH
Moulton, V
Gutman, I
Vidovic, D
机构
[1] Univ Kragujevac, Fac Sci, YU-34000 Kragujevac, Yugoslavia
[2] Univ Bielefeld, FSPM Strukturbildungsprozesse, D-33501 Bielefeld, Germany
[3] Mid Sweden Univ, FMI, Dept Math & Phys, S-85170 Sundsvall, Sweden
关键词
total pi-electron energy; energy of graph; hyperenergetic graphs;
D O I
10.2298/JSC0008571K
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
If G is a molecular graph and lambda(1), lambda(2),... lambda(n) are its eigenvalues, then the energy of G is equal to E(G) = \lambda(1)\+ \lambda(2)\+... + \lambda(n)\. This energy cannot exceed the value n root(n - 1) approximate to n(3/2). The graph G is said to be hyperenergetic if E(G) > 2n - 2. We describe the construction of hyperenergetic graphs G for which E(G) approximate to 1/2 n(3/2).
引用
收藏
页码:571 / 575
页数:5
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