Fig. 7: Cross-order degree correlation affects synchronization stability in systems with mixed pairwise and nonpairwise interactions (0 < α < 1), but not in the uniform cases (α = 0 and α = 1). | Nature Communications

Fig. 7: Cross-order degree correlation affects synchronization stability in systems with mixed pairwise and nonpairwise interactions (0 < α < 1), but not in the uniform cases (α = 0 and α = 1).

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

Fig. 7

The hypergraphs are constructed from the cat brain dataset. For each curve, we indicate the number of pairs of nodes selected for the hyperedge membership swapping procedure (see text for details). The procedure changes the cross-order degree correlation (DC) without affecting the degree sequences (thus preserving the degree heterogeneity ratio as well). We can see that more negative cross-order degree correlation translates into better synchronization stability.

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