ArticleSpringerPlus2016
The topology of the directed clique complex as a network invariant.
Article in SpringerPlus, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 7 papers.
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Who cites it
7 citing papers in PubMed, 35 citations in OpenAlex.
- PERSISTENT DIRECTED FLAG LAPLACIAN.Foundations of data science (Springfield, Mo.) · 2025Article
- Persistent Topological Laplacians-A Survey.Mathematics (Basel, Switzerland) · 2025Article
- The connectivity degree controls the difficulty in reservoir design of random boolean networks.Frontiers in computational neuroscience · 2024Article
- Excitatory/inhibitory balance emerges as a key factor for RBN performance, overriding attractor dynamics.Frontiers in computational neuroscience · 2023Article
- Topology of synaptic connectivity constrains neuronal stimulus representation, predicting two complementary coding strategies.PloS one · 2022Article
- The Middle Science: Traversing Scale In Complex Many-Body Systems.ACS central science · 2021Article
- Uncovering the differences in linguistic network dynamics of book and social media texts.SpringerPlus · 2016Article
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Authors and funding
2 authors at 1 institution in 1 country.
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Abstract
We introduce new algebro-topological invariants of directed networks, based on the topological construction of the directed clique complex. The shape of the underlying directed graph is encoded in a way that can be studied mathematically to obtain network invariants such as the Euler characteristic and the Betti numbers. Two different cases illustrate the application of the Euler characteristic. We investigate how the evolution of a Boolean recurrent artificial neural network is influenced by its topology in a dynamics involving pruning and strengthening of the connections, and to show that the topological features of the directed clique complex influence the dynamical evolution of the network. The second application considers the directed clique complex in a broader framework, to define an invariant of directed networks, the network degree invariant, which is constructed by computing the topological invariant on a sequence of sub-networks filtered by the minimum in- or out-degree of the nodes. The application of the Euler characteristic presented here can be extended to any directed network and provides a new method for the assessment of specific functional features associated with the network topology.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.