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All \(P_{3}\)-equipackable graphs - MaRDI portal

All \(P_{3}\)-equipackable graphs (Q960935)

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scientific article; zbMATH DE number 5687564
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All \(P_{3}\)-equipackable graphs
scientific article; zbMATH DE number 5687564

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    All \(P_{3}\)-equipackable graphs (English)
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    29 March 2010
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    A connected graph \(G\) is called equipackable if \textit{any} sequence of removals of two adjacent edges terminates with the empty graph (if \(G\) has an even number of edges) or with a single edge (if \(G\) has an odd number of edges). This paper characterizes all equipackable graphs.
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    Packing
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    Equitable
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    Decomposition
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