Note about sequences of extrema (A,2B)-edge coloured trees
Urszula Bednarz ; Iwona Włoch
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 71 (2017), / Harvested from The Polish Digital Mathematics Library

In this paper we determine successive extremal trees with respect to the number of all (A,2B)-edge colourings.

Publié le : 2017-01-01
EUDML-ID : urn:eudml:doc:289779
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     author = {Urszula Bednarz and Iwona W\l och},
     title = {Note about sequences of extrema $(A,2B)$-edge coloured trees},
     journal = {Annales Universitatis Mariae Curie-Sk\l odowska, sectio A -- Mathematica},
     volume = {71},
     year = {2017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2017_71_2_17}
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Urszula Bednarz; Iwona Włoch. Note about sequences of extrema $(A,2B)$-edge coloured trees. Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica, Tome 71 (2017) . http://gdmltest.u-ga.fr/item/bwmeta1.element.ojs-doi-10_17951_a_2017_71_2_17/

Bednarz, U., Włoch, I., Fibonacci and telephone numbers in extremal trees, Discuss. Math. Graph Theory, doi 10.7151/dmgt.1997, in press.

Bednarz, U., Włoch, I., Wołowiec-Musiał, M., Total graph interpretation of numbers of the Fibonacci type, J. Appl. Math. 2015 (2015), ID 837917, 7 pp.

Bednarz, U., Bród, D., Szynal-Liana, A., Włoch, I., Wołowiec-Musiał, M., On Fibonacci numbers in edge coloured trees, Opuscula Math. 37 (4) (2017), 479-490.

Diestel, R., Graph Theory, Springer-Verlag, Heidelberg, New York, 2005.

Gutman, I., Wagner, S., Maxima and minima of the Hosoya index and the Merrifield-Simmons index. A survey of results and techniques, Acta Appl. Math. 112 (3) (2010), 323-346.

Prodinger, H., Tichy, R. F., Fibonacci numbers of graphs, Fibonacci Quart. 20 (1982), 16-21.

Riordan, J., Introduction to Combinatorial Analysis, Dover Publ., Inc., New York, 2002.

Tichy, R. F., Wagner, S., Extremal problems for topological indices in combinatorial chemistry, J. Comput. Biol. 12 (7) (2005), 1004-1013.

Weisstein, E., Tripod index entries for linear recurrence with constant coefficients, MathWorld, Wolfram Web Resource, Mar. 05 2011, URL http://mathworld.wolfram.com/Tripod.html

The On-Line Encyclopedia of Integer Sequences, URL https://oeis.org/