For (X,Y) uniform on the support of a biregular bipartite expander graph, the Ingleton quantity I(X;Y|A) + I(X;Y|B) + I(A;B) - I(X;Y) is bounded below by a function of the graph's second eigenvalue for any auxiliary A,B.
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Spectral Conditions for the Ingleton Inequality
For (X,Y) uniform on the support of a biregular bipartite expander graph, the Ingleton quantity I(X;Y|A) + I(X;Y|B) + I(A;B) - I(X;Y) is bounded below by a function of the graph's second eigenvalue for any auxiliary A,B.