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Eulerian paths and a problem concerning \(n\)-arc connected spaces - MaRDI portal

Eulerian paths and a problem concerning \(n\)-arc connected spaces (Q386187)

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scientific article; zbMATH DE number 6236584
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Eulerian paths and a problem concerning \(n\)-arc connected spaces
scientific article; zbMATH DE number 6236584

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    Eulerian paths and a problem concerning \(n\)-arc connected spaces (English)
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    9 December 2013
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    In this paper, the authors build an example of an \(n\)-arc connected (metric) continuum, which is not a \((n+1)\)-arc connected for every \(n \geq 7\) using Euler's Theorem: A graph has a surjective Eulerian path if and only if it has at most two odd vertices.
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    \(n\)-arc connected
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    graph
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