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DM
1999

On an equivalence in discrete extremal problems

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On an equivalence in discrete extremal problems
We introduce some equivalence relations on graphs and posets and prove that they are closed under the cartesian product operation. These relations concern the edge-isoperimetric problem on graphs and the shadow minimization problems on posets. For a long time these problems have been considered quite independently. We present close connections between them. In particular we show that a number of known results concerning the edge-isoperimetric problem for concrete families of graphs are direct consequences of the Macauleyness of appropriate posets.
Sergei L. Bezrukov
Added 22 Dec 2010
Updated 22 Dec 2010
Type Journal
Year 1999
Where DM
Authors Sergei L. Bezrukov
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