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Quantifying Similarity of Dynamic Brain Networks: Two Novel Indices for Structural Change and Temporal Evolution. [PDF]

open access: yesBioengineering (Basel)
Wang X   +9 more
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RELATION BETWEEN GENERAL RANDIC INDEX AND ´ GENERAL SUM CONNECTIVITY INDEX

South East Asian J. of Mathematics and Mathematical Sciences, 2022
The general Randi´c index is the sum of weights of (d(u).d(v))k for every edge uv of a molecular graph G. On the other hand general Sum-Connectivity index is the sum of the weights (d(u) + d(v))k for every edge uv of G, where k is a real number and d(u) is the degree of vertex u.
V. S., Shigehalli, Dsouza, Austin Merwin
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On general sum-connectivity index

Journal of Mathematical Chemistry, 2009
We report some properties especially lower and upper bounds in terms of other graph invariants for the general sum-connectivity index which generalizes both the ordinary sum-connectivity index and the first Zagreb index. Additionally, we give the Nordhaus-Gaddum-type result for the general sum-connectivity index.
Zhou, Bo, Trinajstić, Nenad
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General sum-connectivity index of unicyclic graphs with given diameter

Discrete Applied Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Monther Rashed Alfuraidan   +3 more
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Two-tree graphs with maximum general sum-connectivity index

Discrete Mathematics, Algorithms and Applications, 2020
For a simple graph [Formula: see text], the general sum-connectivity index is defined as [Formula: see text], where [Formula: see text] is the degree of the vertex [Formula: see text] and [Formula: see text] is a real number. In this paper, we will obtain sharp upper bounds on the general sum-connectivity index for [Formula: see text].
Khoeilar, R., Shooshtari, H.
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