Complete cavity map of the C. elegans connectome

Bo Liu; Rongmei Yang; Hao Wang; Linyuan Lü

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arXiv · 2212.03660

Complete cavity map of the C. elegans connectome

Bo Liu·Rongmei Yang·Hao Wang·Linyuan Lü

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Abstract

Network structure or topology is the basis for understanding complex systems. Recently, higher-order structures have been considered as a new research direction that can provide new perspectives and phenomena. However, most existing studies have focused on simple 1-cycles and triangles, and few have explored the higher-order and non-trivial cycles. The current study focused on the cavity, which is a non-trivial cycle. We proposed a method to compute cavities with different orders based on pruning in the boundary matrix and calculated all cavities of the neural network of Caenorhabditis elegans (\emph{C. elegans}) neural network. This study reports for the first time a complete cavity map of C. elegans neural network, developing a new method for mining higher-order structures that can be applied by researchers in neuroscience, network science and other interdisciplinary fields to explore higher-order structural markers of complex systems.

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Bo Liu, Rongmei Yang, Hao Wang, Linyuan Lü. 2022-12-07. Complete cavity map of the C. elegans connectome. https://arxiv.org/abs/2212.03660

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