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A variant of the discrete isoperimetric problem

Peter Hegarty (Institutionen för matematik)
Ars Combin. Vol. 73 (2004), p. 263--274.
[Artikel, refereegranskad vetenskaplig]

We consider a variant of what is known as the discrete isoperimetric problem, namely the problem of minimising the size of the boundary of a family of subsets of a finite set. We use the technique of $\lq$shifting' to provide an alternative proof of a result of Hart. This technique was introduced in the early 1980s by Frankl and F\"{u}redi and gave alternative proofs of previously known classical results like the discrete isoperimetric problem itself and the Kruskal-Katona theorem. Hence our purpose is to bring Hart's result into this general framework.



Denna post skapades 2007-10-31.
CPL Pubid: 60610

 

Institutioner (Chalmers)

Institutionen för matematik (2002-2004)

Ämnesområden

Annan matematik

Chalmers infrastruktur