Note about sequences of extrema -edge coloured trees
Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica (2017)
- Volume: 71, Issue: 2
- ISSN: 0365-1029
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topUrszula Bednarz, and Iwona Włoch. "Note about sequences of extrema $(A,2B)$-edge coloured trees." Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica 71.2 (2017): null. <http://eudml.org/doc/289779>.
@article{UrszulaBednarz2017,
abstract = {In this paper we determine successive extremal trees with respect to the number of all $(A,2B)$-edge colourings.},
author = {Urszula Bednarz, Iwona Włoch},
journal = {Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica},
keywords = {Edge colouring; trees; Fibonacci numbers; telephone numbers},
language = {eng},
number = {2},
pages = {null},
title = {Note about sequences of extrema $(A,2B)$-edge coloured trees},
url = {http://eudml.org/doc/289779},
volume = {71},
year = {2017},
}
TY - JOUR
AU - Urszula Bednarz
AU - Iwona Włoch
TI - Note about sequences of extrema $(A,2B)$-edge coloured trees
JO - Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
PY - 2017
VL - 71
IS - 2
SP - null
AB - In this paper we determine successive extremal trees with respect to the number of all $(A,2B)$-edge colourings.
LA - eng
KW - Edge colouring; trees; Fibonacci numbers; telephone numbers
UR - http://eudml.org/doc/289779
ER -
References
top- 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/
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