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10.1186/s13660-017-1367-2

http://scihub22266oqcxt.onion/10.1186/s13660-017-1367-2
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suck abstract from ncbi


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pmid28529433
      J+Inequal+Appl 2017 ; 2017 (1 ): 96
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  • Spectral properties of a class of unicyclic graphs #MMPMID28529433
  • Du Z
  • J Inequal Appl 2017[]; 2017 (1 ): 96 PMID28529433 show ga
  • The eigenvalues of G are denoted by [Formula: see text], where n is the order of G. In particular, [Formula: see text] is called the spectral radius of G, [Formula: see text] is the least eigenvalue of G, and the spread of G is defined to be the difference between [Formula: see text] and [Formula: see text]. Let [Formula: see text] be the set of n-vertex unicyclic graphs, each of whose vertices on the unique cycle is of degree at least three. We characterize the graphs with the kth maximum spectral radius among graphs in [Formula: see text] for [Formula: see text] if [Formula: see text], [Formula: see text] if [Formula: see text], and [Formula: see text] if [Formula: see text], and the graph with minimum least eigenvalue (maximum spread, respectively) among graphs in [Formula: see text] for [Formula: see text].
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