arXiv 1901.028832019-01-09q-bio.PE

捕食-食饵网络的谱图论研究

A spectral graph theoretic study of predator-prey networks

Shashankaditya Upadhyay, Sudeepto Bhattacharya

备注：: arXiv admin note: substantial text overlap with arXiv:1811.01935

摘要：

捕食者-猎物网络起源于不同的水和陆地环境进行了比较，以评估这些网络的环境的差异是否产生任何显着的差异，这种捕食者-猎物网络的结构。谱图理论首先用于区分这种捕食者的结构，食饵网络起源于水和陆地环境，其次建立的差异，观察到的网络结构起源于这两种环境，正是由于在这些网络的方式，而不是随机网络的属性。我们使用随机投影$\mathbb{R^2}$和$\mathbb{R^3}$的加权谱分布（WSD）的网络属于两个类，即水和陆地，以区分这些网络的结构。利用图的非随机性和相对非随机性的谱理论，建立了这些网络的结构与随机网络拓扑结构的偏差，从而建立了不同环境下的捕食者-食饵网络不存在普遍的结构模式。

英文摘要：

Predator-prey networks originating from different aqueous and terrestrial environments are compared to assess if the difference in environments of these networks produce any significant difference in the structure of such predator-prey networks. Spectral graph theory is used firstly to discriminate between the structure of such predator-prey networks originating from aqueous and terrestrial environments and secondly to establish that the difference observed in the structure of networks originating from these two environments are precisely due to the way edges are oriented in these networks and are not a property of random networks.We use random projections in $\mathbb{R^2}$ and $\mathbb{R^3}$ of weighted spectral distribution (WSD) of the networks belonging to the two classes viz. aqueous and terrestrial to differentiate between the structure of these networks. The spectral theory of graph non-randomness and relative non-randomness is used to establish the deviation of structure of these networks from having a topology similar to random networks.We thus establish the absence of a universal structural pattern across predator-prey networks originating from different environments.

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摘要：

英文摘要：

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