Inverse problem for Zagreb indices

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Date

2018-10-23

Journal Title

Journal ISSN

Volume Title

Publisher

Springer

Abstract

The inverse problem for integer-valued topological indices is about the existence of a graph having its index value equal to a given integer. We solve this problem for the first and second Zagreb indices, and present analogous results also for the forgotten and hyper-Zagreb index. The first Zagreb index of connected graphs can take any even positive integer value, except 4 and 8. The same is true if one restricts to trees or to molecular graphs. The second Zagreb index of connected graphs can take any positive integer value, except 2, 3, 5, 6, 7, 10, 11, 13, 15 and 17. The same is true if one restricts to trees or to molecular graphs.

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Keywords

Chemistry, Mathematics, Zagreb index, First Zagreb index, Second Zagreb index, Forgotten index, Hyper-Zagreb index, Primary 05C09, Secondary 05C90, Topological indexes

Citation

Yurttaş, A. vd. (2019). ''Inverse problem for Zagreb indices.'' Journal of Mathematical Chemistry, 57(2), 609-615.