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Title:Some remarks on Balaban and sum-Balaban index
Authors:ID Knor, Martin (Author)
ID Komorník, Jozef (Author)
ID Škrekovski, Riste (Author)
ID Tepeh, Aleksandra (Author)
Files:.pdf RAZ_Knor_Martin_i2020.pdf (310,27 KB)
MD5: EB7CBB032EBDD9FF5C1AE911367FB7FF
 
Language:English
Work type:Unknown
Typology:1.01 - Original Scientific Article
Organization:ZUP - University of Primorska Press
Abstract:In the paper we study maximal values of Balaban and sum-Balaban index, and correct some results appearing in the literature which are only partially correct. Henceforth, we were able to solve a conjecture of M. Aouchiche, G. Caporossi and P. Hansen regarding the comparison of Balaban and Randić index. In addition, we showed that for every k and large enough n, the first k graphs of order n with the largest value of Balaban index are trees. We conclude the paper with a result about the accumulation points of sum-Balaban index.
Keywords:topological index, Balaban index, sum-Balaban index, Randić index
Year of publishing:2020
Number of pages:str. 1-10
Numbering:Vol. 3, iss. 2
PID:20.500.12556/RUP-17640 This link opens in a new window
UDC:519.17
ISSN on article:2590-9770
DOI:10.26493/2590-9770.1241.7f8 This link opens in a new window
COBISS.SI-ID:16979459 This link opens in a new window
Publication date in RUP:03.01.2022
Views:1709
Downloads:23
Metadata:XML DC-XML DC-RDF
:
KNOR, Martin, KOMORNÍK, Jozef, ŠKREKOVSKI, Riste and TEPEH, Aleksandra, 2020, Some remarks on Balaban and sum-Balaban index. The art of discrete and applied mathematics [online]. 2020. Vol. 3, no. 2, p. 1–10. [Accessed 3 April 2025]. DOI 10.26493/2590-9770.1241.7f8. Retrieved from: https://repozitorij.upr.si/IzpisGradiva.php?lang=eng&id=17640
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Record is a part of a journal

Title:The art of discrete and applied mathematics
Publisher:Fakulteta za matematiko, naravoslovje in informacijske tehnologije
ISSN:2590-9770
COBISS.SI-ID:290758912 This link opens in a new window

Secondary language

Language:English
Abstract:V članku preučujemo maksimalne vrednosti Balabanovega in sum-Balabanovega indeksa, ter popravimo nekaj že objavljenih rezultatov v literaturi, ki so le delno pravilni. To nam je omogočilo dokazati domnevo M. Aouchicha, G. Caporossija in P. Hansena o primerjavi med Balabanovim in Randićevim indeksom. Prav tako smo pokazali, da za vsak k in dovolj velik n velja, da je prvih k grafov reda n z največjo vrednostjo Balabanovega indeksa, enakih drevesom. Članek zaključimo z rezultatom o stekališčih sum-Balabanovega indeksa.
Keywords:topološki indeks, Balaban indeks, sum-Balaban indeks, Randić indeks


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