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Splitting lemma for 2-connected graphs - MaRDI portal

Splitting lemma for 2-connected graphs (Q1935986)

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scientific article; zbMATH DE number 6137703
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Splitting lemma for 2-connected graphs
scientific article; zbMATH DE number 6137703

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    Splitting lemma for 2-connected graphs (English)
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    21 February 2013
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    Summary: Using a splitting operation and a splitting lemma for connected graphs, Fleischner characterized connected Eulerian graphs [\textit{H. Fleischner}, Eulerian graphs and related topics, Part 1, Volume 1, Ann. Discrete Math. 50 (1991; Zbl 0792.05092)]. In this paper, we obtain a splitting lemma for 2-connected graphs and characterize 2-connected Eulerian graphs. As a consequence, we characterize connected graphic Eulerian matroids.
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    splitting operation
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    splitting lemma
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    connected graphs
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    Eulerian graphs
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    connected graphic Eulerian matroids
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