Geodesic
The proof of the removable pair conjecture for fractional dimension.
Csaba Biró1 ; Peter Hamburger2 ; Attila Pór2
1University of Louisville
2Western Kentucky University
The electronic journal of combinatorics, Tome 21 (2014) no. 1
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In 1971 Trotter (or Bogart and Trotter) conjectured that every finite poset on at least 3 points has a pair whose removal does not decrease the dimension by more than 1. In 1992 Brightwell and Scheinerman introduced fractional dimension of posets, and they made a similar conjecture for fractional dimension. This paper settles this latter conjecture.
DOI : 10.37236/4008
Classification : 06A07
Mots-clés : finite posets, removable pair conjecture, fractional dimension

Csaba Biró  1   ; Peter Hamburger  2   ; Attila Pór  2

1 University of Louisville
2 Western Kentucky University 
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Csaba Biró; Peter Hamburger; Attila Pór. The proof of the removable pair conjecture for fractional dimension.. The electronic journal of combinatorics, Tome 21 (2014) no. 1. doi: 10.37236/4008

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