The paper characterizes extremal cross t-intersecting families maximizing |F1| |F2| under tau_t(F1), tau_t(F2) >= t+1 and describes maximal t-intersecting families with tau_t = t+1.
Pyber, A new generalization of the Erd˝ os-Ko-Rado theorem,J
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On extremal cross $t$-intersecting families with $t$-covering number conditions
The paper characterizes extremal cross t-intersecting families maximizing |F1| |F2| under tau_t(F1), tau_t(F2) >= t+1 and describes maximal t-intersecting families with tau_t = t+1.