Fig. 3: Higher-order interactions increase degree heterogeneity in simplicial complexes. | Nature Communications

Fig. 3: Higher-order interactions increase degree heterogeneity in simplicial complexes.

From: Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes

Fig. 3: Higher-order interactions increase degree heterogeneity in simplicial complexes.The alt text for this image may have been generated using AI.

a First-order degrees k(1) and second-order degrees k(2) follow Eq. (6) for simplicial complexes constructed from Erdös-Rényi graphs. The heterogeneity ratio r is well approximated by Eq. (8). b Degree heterogeneity of the three-body couplings is larger than that of the pairwise couplings in simplicial complexes for all values of p (i.e., r is always greater than 1).

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