Zagreb indices of triple square snake graphs
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Several lattice structures which can also be thought as graphs have been shown to be useful in the study of large networks. In this work, we study 15 topological graph indices from the class of Zagreb indices of three interesting lattice structures called as square snake graphs, double square snake graphs and triple square snake graphs. We use vertex and edge partitions of these graphs and calculate their indices by means of these partitions.
Abstract
Several lattice structures which can also be thought as graphs have been shown to be useful in the study of large networks. In this work, we study 15 topological graph indices from the class of Zagreb indices of three interesting lattice structures called as square snake graphs, double square snake graphs and triple square snake graphs. We use vertex and edge partitions of these graphs and calculate their indices by means of these partitions.
참고문헌 (8)
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- Çanakçi, I., "Snake graph calculus and cluster algebras from surfaces III: Band graphs and snake rings", International Mathematics Research Notices, pp.rnx157~ (2017)
- Çanakçi, I, "Cluster algebras and continued fractions", Compositio Mathematica, 154(3), pp.565~593 (2018)
- Jadav, I. I., "Snakes related strongly*-graphs", International Journal of Advanced Engineering Research and Science, 3(9), pp.240~245 (2016)
- Mahalank, P., "Zagreb Indices of Square Snake Graphs", Montes Taurus Journal of Pure and Applied Mathematics (2021)
- Shiffler, R., "Snake Graphs, Perfect Matchings and Continued Fractions, Snapshots of Modern Mathematics form Oberwolfach, No: 1", Mathematisches Forschungsinstitut Oberwolfach, ~ (2019)