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2016, br. 38, str. 83-95
On Merrifield-Simmons index of molecular graphs
(naslov ne postoji na srpskom)
aUniverzitet u Kragujevcu, Prirodno-matematički fakultet, Srbija + Džavni univerzitet u Novom Pazaru, Srbija
bDepartment of Mathematics, Faculty of Science, Atat¨urk University, Erzurum, Turkey
cDepartment of Elemantary Mathematics Education, Faculty of Education, Bayburt University, Bayburt, Turkey

e-adresagutman@kg.ac.rs, igultekin@atauni.edu.tr, shnbnymn25@gmail.com
Projekat:
Scientific and Technological Research Council of Turkey (TÜBITAK)

Sažetak
(ne postoji na srpskom)
The Merrifield-Simmons index σ = σ(G) of a graph G is the number of independent vertex sets of G. This index can be calculated recursively and expressed in terms of Fibonacci numbers. We determine the molecular graphs for which σ can be recursively calculated in a single step.
Reference
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Hua, H., Xu, X., Wang, H. (2014) Unicyclic graphs with given number of cut vertices and the maximal Merrifield-Simmons index. Filomat, 28(3): 451-461
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Trinks, M. (2015) The Merrifield-Simmons conjecture also holds for parity graphs. Int. J. Graph Theory Appl., 1, 111-121
Wagner, S., Gutman, I. (2010) Maxima and Minima of the Hosoya Index and the Merrifield-Simmons Index. Acta Applicandae Mathematicae, 112(3): 323-346
Yu, Q., Zhu, Z. (2015) The extremal fully loaded graphs with respect to Merrifield-Simmons index. Ars Comb., 122, 399-409
Zhu, Z., Yuan, C., Andriantiana, E.O.D., Wagner, S. (2014) Graphs with maximal Hosoya index and minimal Merrifield–Simmons index. Discrete Mathematics, 329: 77-87
 

O članku

jezik rada: engleski
vrsta rada: neklasifikovan
DOI: 10.5937/KgJSci1638083G
objavljen u SCIndeksu: 15.12.2016.
Creative Commons License 4.0

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