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On two conjectures concerning trees with maximal inverse sum indeg index. (English) Zbl 1513.05098


MSC:

05C09 Graphical indices (Wiener index, Zagreb index, Randić index, etc.)
05C07 Vertex degrees
05C05 Trees
Full Text: DOI

References:

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[3] Chen, H.; Deng, H., The inverse sum indeg index of graphs with some given parameters, Discrete Math Algorithms Appl, 10, 1-9 (2018) · Zbl 1380.05104
[4] Chen, X.; Li, X.; Lin, W., On connected graphs and trees with maximal inverse sum indeg index, Appl Math Comput, 392, 125731 (2021) · Zbl 1503.65011 · doi:10.1016/j.amc.2020.125731
[5] Devillers, J.; Balaban, AT, Topological indices and related descriptors in QSAR and QSPR (1999), Amsterdam: Gordon and Breach, Amsterdam
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[7] Gutman, I.; Rodríguez, JM; Sigarreta, JM, Linear and non-linear inequalities on the inverse sum indeg index, Discrete Appl Math, 258, 123-134 (2019) · Zbl 1407.05058 · doi:10.1016/j.dam.2018.10.041
[8] Gutman, I.; Matejić, MM; Milovanović, EI; Milovanović, IŽ, Lower bounds for inverse sum indeg index of graphs, Kragujevac J Math, 44, 551-562 (2020) · Zbl 1488.05094 · doi:10.46793/KgJMat2004.551G
[9] Jiang, Y.; Chen, X.; Lin, W., A note on chemical trees with maximal inverse sum indeg index, MATCH Commun Math Comput Chem, 86, 29-38 (2021) · Zbl 1474.92161
[10] Karelson, M., Molecular descriptors in QSAR/QSPR (2000), New York: Wiley, New York
[11] Lin, W.; Gao, T.; Chen, Q.; Lin, X., On the minimal ABC index of connected graphs with given degree sequence, MATCH Commun Math Comput Chem, 69, 571-578 (2013) · Zbl 1299.05057
[12] Sedlar, J.; Stevanović, D.; Vasilyev, A., On the inverse sum indeg index, Discrete Appl Math, 184, 202-212 (2015) · Zbl 1311.05201 · doi:10.1016/j.dam.2014.11.013
[13] Vukičević D, Gašperov M (2010) Bond additive modeling 1. Adriatic indices. Croat Chem Atca 83:243-260
[14] Wang, H., The extremal values of the Wiener index of a tree with given degree sequence, Discrete Appl Math, 156, 2647-2654 (2008) · Zbl 1155.05020 · doi:10.1016/j.dam.2007.11.005
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