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Inverse degree, Randic index and harmonic index of graphs
Author(s) -
Kinkar Ch. Das,
Selvaraj Balachandran,
Iván Gutman
Publication year - 2017
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm1702304d
Subject(s) - mathematics , inverse , combinatorics , vertex (graph theory) , degree (music) , graph , topological index , discrete mathematics , geometry , physics , acoustics
Motivated by a Graffiti conjecture [8], Zhang et al. [23] established upper and lower bounds on ID(T ) + β(T ) for any tree T , where β is the number of independent edges. Hu et al. [12] determined the extremal graphs with respect to ID among all connected graphs of order n and with m edges. Dankelmann et al. [5] determined a relation between ID and edge-connectivity. In the same paper a bound is established on the diameter in terms of ID. Mukwembi [16]

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