The star sequence and the general first Zagreb index
Combinatorics
2018-09-19 v1
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.
Cite
@article{arxiv.1706.00829,
title = {The star sequence and the general first Zagreb index},
author = {Leonid Bedratyuk and Oleg Savenko},
journal= {arXiv preprint arXiv:1706.00829},
year = {2018}
}
Comments
7 pages