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Another online music retailer, Rhapsody, which has a library of about 1.5 million songs, provided him with monthly sales statistics that he presents in a series of graphs, with the horizontal axis showing songs ranked by popularity and the vertical axis showing the number of times each one was downloaded.
The experimental results are shown in graphs with the construction of corresponding values, tables, equations.
Shen et al. [10] determined the oriented bicyclic graphs with the maximal and minimal skew energies.
Hou et al. [8] determined the oriented unicyclic graphs with the maximal and minimal skew energies.
Additional file 1: Cross tabulation results and graphs with the reference numbers of clusters in Japan.
The obtained results are finally compared through the illustrative graphs with the exact solution and an approximate method.
Our constructions and analysis are undertaken on bipartite graphs with the applications to data centre networks being easily derived.
Two-dimensional coronal sections were converted to network graphs with the cortical shell considered as one highly connected node.
In this paper, the n-vertex unicyclic graphs with the minimal and the second minimal AZI indices and the n-vertex bicyclic graphs with the minimal AZI index are determined.
Figure 5 shows the EDS graphs with the thicknesses of 4 and 12 nm on GaAs (111)A.
Zhu [12] further characterized the oriented unicyclic graphs with the first ⌊ n − 9 2 ⌋ largest skew energies.
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