The visibility graph (VG) and horizontal visibility graph (HVG) have been recently introduced as a mapping between the time series and the complex networks. Here, the relativistic nucleus–nucleus interaction data,\(^{24}\)Mg-Ag/Br at 4.5 A GeV/c are analyzed and used to characterizing the multifractal properties by extending VG, HVG and the sandbox algorithm (SB). In this work, the HVG–SB techniques have been applied to confirm the scale-freeness and the presence of fractal properties in the process of multiplicity fluctuation. We try to find deterministic information by means of precise determination of topological parameter from a complex network perspective. We have analyzed the degree distributions which are associated with event-wise pseudorapidity distributions, typical of any multifractality measurement, different patterns of symmetry scaling, scale-freeness, correlation and clustering among the produced particles. We try to find deterministic information by means of precise determination of topological parameter from a complex network perspective. It has been also observed that the multifractal variables were derived by SB algorithm for the experimental data sets to some extent distinct from the respective Monte Carlo simulated results.

最近引入了可见性图（VG）和水平可见性图（HVG）作为时间序列和复杂网络之间的映射。在这里，相对论核－核相互作用数据\（^ {24} \）分析了Mg-Ag / Br在4.5 A GeV / c的情况，并通过扩展VG，HVG和沙盒算法（SB）来表征多重分形特性。在这项工作中，HVG–SB技术已被用于确认多重波动过程中的无垢和分形特性的存在。我们尝试从复杂的网络角度通过精确确定拓扑参数来找到确定性信息。我们分析了与事件级伪快速分布相关的度分布，这些度分布是任何多重分数测量的典型特征，对称比例缩放的不同模式，无比例缩放，相关性和在生成的粒子之间的聚集。我们尝试从复杂的网络角度通过精确确定拓扑参数来找到确定性信息。