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2001 (1)
1Author    Harald Fripertinger, Ivan Gutman3, Adalbert Kerber6, Axel Kohnertb, Dusica Vidovic3Requires cookie*
 Title    The Energy of a Graph and its Size Dependence. An Improved Monte Carlo Approach  
 Abstract    In an earlier work [Gutman et al., Chem. Phys. Lett. 297, 428 (1998)] the average energy (E) o f graphs with n vertices and m edges was examined, in particular its dependence on n and m . The quantity (E) was computed from a set of randomly, but not uniformly, constructed (n ,m)-graphs. We have now improved our method by constructing the (n,m)-graphs uniformly, so that every (n , m)-graph has equal probability to be generated. Differences between the old and new approaches are significant only in the case of graphs with a small number o f edges. 
  Reference    Z. Naturforsch. 56a, 342—346 (2001); received April 2 2001 
  Published    2001 
  Keywords    Energy (of Graph), Total 7r-electron Energy, Random Graphs, Monte Carlo Methods 
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 TEI-XML for    default:Reihe_A/56/ZNA-2001-56a-0342.pdf 
 Identifier    ZNA-2001-56a-0342 
 Volume    56