ArticleApplied network science2018
Co-occurrence simplicial complexes in mathematics: identifying the holes of knowledge.
Article in Applied network science, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
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The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
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Who cites it
15 citing papers in PubMed.
- Community detection in hypergraphs through hyperedge percolation.Scientific reports · 2025Article
- Article
- Cu-Ag nanoparticles positively modulating the endophytic bacterial community in tomato roots affected by bacterial wilt.Frontiers in microbiology · 2025Article
- Understanding Higher-Order Interactions in Information Space.Entropy (Basel, Switzerland) · 2024Article
- Topological features of spike trains in recurrent spiking neural networks that are trained to generate spatiotemporal patterns.Frontiers in computational neuroscience · 2024Article
- Simplicial complex entropy for time series analysis.Scientific reports · 2023Article
- What Is in a Simplicial Complex? A Metaplex-Based Approach to Its Structure and Dynamics.Entropy (Basel, Switzerland) · 2023Article
- The dynamic nature of percolation on networks with triadic interactions.Nature communications · 2023Article
- The collective vs individual nature of mountaineering: a network and simplicial approach.Applied network science · 2022Article
- The distance backbone of complex networks.Journal of complex networks · 2021Article
- Understanding Changes in the Topology and Geometry of Financial Market Correlations during a Market Crash.Entropy (Basel, Switzerland) · 2021Article
- Stability of synchronization in simplicial complexes.Nature communications · 2021Article
- Architecture and evolution of semantic networks in mathematics texts.Proceedings. Mathematical, physical, and engineering sciences · 2020Article
- Community Detection on Networks with Ricci Flow.Scientific reports · 2019Article
- Simplicial models of social contagion.Nature communications · 2019Article
Corrections and comments
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
In the last years complex networks tools contributed to provide insights on the structure of research, through the study of collaboration, citation and co-occurrence networks. The network approach focuses on pairwise relationships, often compressing multidimensional data structures and inevitably losing information. In this paper we propose for the first time a simplicial complex approach to word co-occurrences, providing a natural framework for the study of higher-order relations in the space of scientific knowledge. Using topological methods we explore the conceptual landscape of mathematical research, focusing on homological holes, regions with low connectivity in the simplicial structure. We find that homological holes are ubiquitous, which suggests that they capture some essential feature of research practice in mathematics.
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Registered trials
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.