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arxiv: 1812.03582 · v3 · pith:6NFOUYM2new · submitted 2018-12-10 · 🧮 math.CO

Optimal cube factors of Fibonacci and matchable Lucas cubes

classification 🧮 math.CO
keywords cubeoptimalcubesfactorfactorsfibonaccilucasmatchable
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The optimal cube factor of a graph, a special kind of component factor, is first introduced. Furthermore, the optimal cube factors of Fibonacci and matchable Lucas cubes are studied; and some results on the Padovan sequence and binomial coefficients are obtained.

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