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arxiv: 1408.6815 · v2 · pith:PAP4DF3Tnew · submitted 2014-08-28 · 🧮 math.CO · math.GT

On the Component Number of Links from Plane Graphs

classification 🧮 math.CO math.GT
keywords graphnumberarisingcomponentcomponentselementaryequalgiven
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A short, elementary proof is given of the result: The number of components of a link arising from a medial graph M(G) by resolving vertices is equal to the nullity of the mod-2 Laplacian matrix of the graph G.

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