2025/03/26 by Ma, Fei, Yao, Bing
#Combinatorics (math.CO) #FOS: Mathematics #History and Overview (math.HO)
paper · doi:10.48550/arxiv.2503.20167
For real application and theoretical investigation of ordinary hypergraphs and non-ordinary hypergraphs, researchers need to establish standard rules and feasible operating methods. We propose a visualization tool for investigating hypergraphs by means of the natural topological structure of finite sets and their subsets, so we are able to construct various non-ordinary hypergraphs, and to reveal topological properties (such as hamiltonian cycles, maximal planar graphs), colorings, connectivity, hypergraph group, isomorphism and homomorphism of hypergraphs.