Balanced hypergraph: Difference between revisions

Revision as of 03:06, 15 February 2025

Latest revision as of 01:06, 19 February 2025

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[[File:Balanced hypergraph, first definition.svg|thumb|300px|The initial graph is '''2-colorable''', as the vertices can be colored such that each edge has one of each color.

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Any number of any vertices (here, 1 vertex, vertex "v2") can be deleted from the initial graph, as shown in the next graph. After re-coloring the vertices, it is shown the graph is still 2-colorable.

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Any ''singletons'', or edges with only 1 vertex, are disregarded, as these obviously cannot be 2-colored.]]