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arXiv · 1706.00829

The star sequence and the general first Zagreb index

Leonid Bedratyuk·Oleg Savenko
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Abstract

For a simple graph, we introduce a notion of the star sequence and prove that the star sequence and the frequently sequences of a graph are inverses of each other from a combinatorial point of view. As a consequence, we express the general first Zagreb index in terms of the star sequence. Also, we calculate the ordinary generating function and find a linear recurrence relation for the sequence of the general first Zagreb indexes.

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Leonid Bedratyuk, Oleg Savenko. 2017-06-02. The star sequence and the general first Zagreb index. https://arxiv.org/abs/1706.00829

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