The eccentricity sequences of Fibonacci and Lucas cubes

DOI10.1016/j.disc.2011.11.006zbMath1237.05055OpenAlexW2115942856MaRDI QIDQ764892

Michel Mollard, Aline Castro

Publication date: 16 March 2012

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2011.11.006

zbMATH Keywords

hypercubemedian graphFibonacci cubesLucas cubes

Mathematics Subject Classification ID

Hypergraphs (05C65) Distance in graphs (05C12) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (10)

Vertex and edge orbits of Fibonacci and Lucas cubes ⋮ The (non-)existence of perfect codes in Lucas cubes ⋮ Asymptotic properties of Fibonacci cubes and Lucas cubes ⋮ Some diameter notions of Fibonacci cubes ⋮ Structure of Fibonacci cubes: a survey ⋮ Cube-complements of generalized Fibonacci cubes ⋮ Edges in Fibonacci cubes, Lucas cubes and complements ⋮ Maximal hypercubes in Fibonacci and Lucas cubes ⋮ Fibonacci and Lucas \(p\)-cubes ⋮ On disjoint hypercubes in Fibonacci cubes

Cites Work

• On the domination number and the 2-packing number of Fibonacci cubes and Lucas cubes
• The observability of the Fibonacci and the Lucas cubes
• Structural and enumerative properties of the Fibonacci cubes
• Structure of Fibonacci cubes: a survey
• The degree sequence of Fibonacci and Lucas cubes
• Fast recognition of Fibonacci cubes
• Recursive fault-tolerance of Fibonacci cube in hypercubes
• On median nature and enumerative properties of Fibonacci-like cubes
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