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2015 Total Graph Interpretation of the Numbers of the Fibonacci Type
Urszula Bednarz, Iwona Włoch, Małgorzata Wołowiec-Musiał
J. Appl. Math. 2015: 1-7 (2015). DOI: 10.1155/2015/837917

Abstract

We give a total graph interpretation of the numbers of the Fibonacci type. This graph interpretation relates to an edge colouring by monochromatic paths in graphs. We will show that it works for almost all numbers of the Fibonacci type. Moreover, we give the lower bound and the upper bound for the number of all ( A 1 , 2 A 1 ) -edge colourings in trees.

Citation

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Urszula Bednarz. Iwona Włoch. Małgorzata Wołowiec-Musiał. "Total Graph Interpretation of the Numbers of the Fibonacci Type." J. Appl. Math. 2015 1 - 7, 2015. https://doi.org/10.1155/2015/837917

Information

Published: 2015
First available in Project Euclid: 11 November 2015

zbMATH: 1347.05058
MathSciNet: MR3417555
Digital Object Identifier: 10.1155/2015/837917

Rights: Copyright © 2015 Hindawi

Vol.2015 • 2015
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