Highly Influenced

@article{Linial1985EveryPH, title={Every Poset Has a Central Element}, author={Nathan Linial and Michael E. Saks}, journal={J. Comb. Theory, Ser. A}, year={1985}, volume={40}, pages={195-210} }

- Published 1985 in J. Comb. Theory, Ser. A
DOI:10.1016/0097-3165(85)90087-1

It is proved that there exists a constant 6, f > 6 > 0, such that in every finite partially ordered set there is an element such that the fraction of order ideals containing that element is between 6 and 1-6. It is shown that 6 can be taken to be at least (3-log, 5)/4~0.17. This settles a question asked independently by Colburn and Rival, and Rosenthal. The… CONTINUE READING

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