Geodesic
The Size of Fulton's Essential Set
Séminaire lotharingien de combinatoire, Tome 34 (1995)
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The essential set of a permutation was defined by Fulton as the set of southeast corners of the diagram of the permutation. In this paper we determine explicit formulas for the average size of the essential set in the two cases of arbitrary permutations and 321-avoiding permutations. Vexillary permutations are discussed too. 

@article{SLC_1995_34_a11,
     author = {Kimmo Eriksson and Svante Linusson},
     title = {The {Size} of {Fulton's} {Essential} {Set}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {1995},
     volume = {34},
     url = {http://geodesic.mathdoc.fr/item/SLC_1995_34_a11/}
}
TY  - JOUR
AU  - Kimmo Eriksson
AU  - Svante Linusson
TI  - The Size of Fulton's Essential Set
JO  - Séminaire lotharingien de combinatoire
PY  - 1995
VL  - 34
UR  - http://geodesic.mathdoc.fr/item/SLC_1995_34_a11/
ID  - SLC_1995_34_a11
ER  - 
%0 Journal Article
%A Kimmo Eriksson
%A Svante Linusson
%T The Size of Fulton's Essential Set
%J Séminaire lotharingien de combinatoire
%D 1995
%V 34
%U http://geodesic.mathdoc.fr/item/SLC_1995_34_a11/
%F SLC_1995_34_a11
Kimmo Eriksson; Svante Linusson. The Size of Fulton's Essential Set. Séminaire lotharingien de combinatoire, Tome 34 (1995). http://geodesic.mathdoc.fr/item/SLC_1995_34_a11/