Total graph interpretation of the numbers of the Fibonacci type

DOI10.1155/2015/837917zbMath1347.05058DBLPjournals/jam/BednarzWW15OpenAlexW2138590243WikidataQ59112021 ScholiaQ59112021MaRDI QIDQ327721

Urszula Bednarz, Małgorzata Wołowiec-Musiał, Iwona Włoch

Publication date: 19 October 2016

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/837917

zbMATH Keywords

edge colouringmonochromatic paths

Mathematics Subject Classification ID

Trees (05C05) Paths and cycles (05C38) Coloring of graphs and hypergraphs (05C15) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (12)

Generalized commutative quaternions of the Fibonacci type ⋮ On \(F_3(k,n)\)-numbers of the Fibonacci type ⋮ A new hybrid generalization of Fibonacci and Fibonacci-Narayana polynomials ⋮ Fibonacci and telephone numbers in extremal trees ⋮ On generalized Mersenne hybrid numbers ⋮ On a four-parameter generalization of some special sequences ⋮ Fibonacci numbers in graphs with strong (1, 1, 2)-kernels ⋮ On Fibonacci numbers in edge coloured trees ⋮ Omega index of line and total graphs ⋮ Unnamed Item ⋮ On some multinomial sums related to the Fibonacci type numbers ⋮ On a new generalization of telephone numbers

Cites Work

• On generalized Fibonacci numbers and \(k\)-distance \(K_p\)-matchings in graphs
• Maxima and minima of the Hosoya index and the Merrifield-Simmons index
• Trees with extremal numbers of maximal independent sets including the set of leaves
• Some identities for the generalized Fibonacci numbers and the generalized Lucas numbers
• On a new type of distance Fibonacci numbers
• The \(k\)-Fibonacci sequence and the Pascal 2-triangle
• Principles of combinatorics
• Generalized Fibonacci Numbers and Associated Matrices
• On some identities and generating functions for k- Pell numbers
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Total graph interpretation of the numbers of the Fibonacci type