Observability of the extended Lucas cubes
Observability of the extended Lucas cubes
The \(n\)-dimensional hypercube \(Q_n\) is a graph whose vertex set consists of all binary vectors of length \(n\), two vertices being joined by an edge whenever they differ in exactly one coordinate. The authors define the \(i\)th extended Lucas cube \(\Lambda_n^i\) of order \(n\) \((1\leq ii\geq3\). This extends previous work by \textit{E. Dedó} et al. [Discrete Math. 255, No. 1-3, 55--63 (2002; Zbl 1007.05053)] on the observability of the Fibonacci and the Lucas cubes.
Coloring of graphs and hypergraphs, observability, Fibonacci and Lucas numbers and polynomials and generalizations, edge coloring, extended Lucas cube, hypercube
Coloring of graphs and hypergraphs, observability, Fibonacci and Lucas numbers and polynomials and generalizations, edge coloring, extended Lucas cube, hypercube
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