The irregularity polynomials of Fibonacci and Lucas cubes

DOI10.1007/s40840-020-00981-0zbMath1462.05187OpenAlexW3044331077MaRDI QIDQ2021659

Ömer Eğecioğlu, Zülfükar Saygı, Elif Saygı

Publication date: 27 April 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-00981-0

zbMATH Keywords

Fibonacci cubeLucas cubeirregularity of graph

Mathematics Subject Classification ID

Graph polynomials (05C31) Extremal problems in graph theory (05C35) Exact enumeration problems, generating functions (05A15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (7)

Alternate Lucas Cubes ⋮ Metallic cubes ⋮ The Mostar index of Fibonacci and Lucas cubes ⋮ Edges in Fibonacci cubes, Lucas cubes and complements ⋮ The Mostar and Wiener index of Alternate Lucas Cubes ⋮ Fibonacci-run graphs. II: Degree sequences ⋮ The number of short cycles in Fibonacci cubes

Cites Work

• Graphs with maximal \(\sigma\) irregularity
• Structure of Fibonacci cubes: a survey
• On some properties of graph irregularity indices with a particular regard to the \(\sigma \)-index
• Boundary enumerator polynomial of hypercubes in Fibonacci cubes
• On the irregularity of \(\pi \)-permutation graphs, Fibonacci cubes, and trees
• How to Define an Irregular Graph
• Highly irregular graphs
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