The authors determine sharp or almost sharp maximum densities for alternating walks and cycles and for every 4-cycle colour pattern in red-blue complete graphs, and exhibit a positive-coefficient quantum graph whose only asymptotically extremal graphs are quasirandom.
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The semi-inducibility problem
The authors determine sharp or almost sharp maximum densities for alternating walks and cycles and for every 4-cycle colour pattern in red-blue complete graphs, and exhibit a positive-coefficient quantum graph whose only asymptotically extremal graphs are quasirandom.