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Hyper-detour index of unicyclic graphs

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CONTRIBUTORS:
  Author Qi, X.
  Author Zhou, B.
JOURNAL:
  Match, 66(1), 329 - 342.
YEAR: 2011
PUB TYPE: Journal Article
SUBJECT(S): chemistry - mathematical
DISCIPLINE: Chemistry
HTTP:
LANGUAGE: English
PUB ID: 103-501-582 (Last edited on 2012/04/04 03:18:35 GMT-6)
SPONSOR(S):
 
ABSTRACT:
We determine the n-vertex unicyclic graphs with the smallest, the second and the third smallest hyper-detour indices for n ≥ 5, and the n-vertex unicyclic graphs with the k-th largest hyper-detour indices for all k up to [n/2] + 4 for n ≤ 6 (and to five if n = 5). To obtain these results, we also determine the n-vertex unicyclic graphs of cycle length r, 3 ≤ r ≤ n, with the smallest and the largest hyper-detour indices.
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