Hermite invariant of a lattice of integral flows of a weighted graph (Q874762)
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scientific article; zbMATH DE number 5141210
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hermite invariant of a lattice of integral flows of a weighted graph |
scientific article; zbMATH DE number 5141210 |
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Hermite invariant of a lattice of integral flows of a weighted graph (English)
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10 April 2007
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Summary: To any weighted graph with first Betti number \(b\) is naturally associated a lattice of dimension \(b\): the lattice of integral flows. We give here an upper bound of the Hermite invariant of such a lattice in terms of \(b\), of order \(\ln b\). This order is optimal: it is realized by the Hermite invariant of the lattice of integral flows associated to a systolically economic graph.
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