Specific orientations of paths with distance conditions and three-legged spiders are tournament anti-Sidorenko, proving conjectures and yielding new families.
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For every fixed β in [0,1], the extremal S_{2,1}-densities are determined: the upper side completes a four-branch profile via prior work plus new low-density proof, while the lower side is achieved by a one-parameter three-class complement-split family rather than quasi-star/quasi-clique.
citing papers explorer
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On Tournament Anti-Sidorenko Orientations of Trees
Specific orientations of paths with distance conditions and three-legged spiders are tournament anti-Sidorenko, proving conjectures and yielding new families.
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Fixed-density profiles for the semi-induced 4-vertex star
For every fixed β in [0,1], the extremal S_{2,1}-densities are determined: the upper side completes a four-branch profile via prior work plus new low-density proof, while the lower side is achieved by a one-parameter three-class complement-split family rather than quasi-star/quasi-clique.