On Harmonic Index and Diameter of Quasi-Tree Graphs
The harmonic index of a graph G (HG) is defined as the sum of the weights 2/du+dv for all edges uv of G, where du is the degree of a vertex u in G. In this paper, we show that HG≥DG+5/3−n/2 and HG≥1/2+2/3n−2DG, where G is a quasi-tree graph of order n and diameter DG. Indeed, we show that both lower...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6650407 |
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