A comprehensive survey of graph-based frameworks for higher-order networks, covering foundational concepts, extensions, and newly introduced formalisms with emphasis on structural principles and applications.
Hypergraph theory
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The work develops properties of ultrafilters, prefilters, and related notions on connectivity systems while surveying a range of graph width, length, and depth parameters.
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Representing Higher-Order Networks: A Survey of Graph-Based Frameworks
A comprehensive survey of graph-based frameworks for higher-order networks, covering foundational concepts, extensions, and newly introduced formalisms with emphasis on structural principles and applications.
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Various Properties of Various Ultrafilters, Various Graph Width Parameters, and Various Connectivity Systems (with Survey)
The work develops properties of ultrafilters, prefilters, and related notions on connectivity systems while surveying a range of graph width, length, and depth parameters.