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The maximal gutman index of bicyclic graphs

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CONTRIBUTORS:
  Author Feng, L.
  Author Liu, W.
JOURNAL:
  Match, 66(2), 699 - 708.
YEAR: 2011
PUB TYPE: Journal Article
SUBJECT(S): chemistry - mathematical
DISCIPLINE: Chemistry
HTTP:
LANGUAGE: English
PUB ID: 103-501-580 (Last edited on 2012/04/04 03:13:33 GMT-6)
SPONSOR(S):
 
ABSTRACT:
Let G be a simple connected graph. The Gutman index S(G) is defined as S(G) = Σu,v∈V(G) dG(u)dG(v)d(u v) where dG(u) is the degree of u, d(u v) is the distance between u and i; and the summation goes over all pairs of vertices in G. In this paper, we determine that among all bicyclic graphs of order n, the graph formed from two triangles linked by a path has maximal Gutman index.
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