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math.CO2011
Some inequalities for orderings of acyclic digraphs
Thomas Bier, Imed Zaguia
Let be an acyclic digraph. For define to be the difference of the indegree and the outdegree of . An acyclic ordering of the vertices of is…
math.CO2011
The 1/3-2/3 conjecture for -free ordered sets
Imed Zaguia
A balanced pair in a finite ordered set is a pair of elements of such that the proportion of linear extensions of that put before is in the rea…