English

The Double Star Sequences and the General Second Zagreb Index

Combinatorics 2019-08-22 v1

Abstract

For a simple graph we introduce notions of the double star sequence, the double star frequently sequence and prove that these sequences are inverses of each other. As a consequence, we express the general second Zagreb index in terms of the double star sequence. Also, we calculate the ordinary generating function and a linear recurrence relation for the sequence of the general second Zagreb indexes.

Keywords

Cite

@article{arxiv.1809.06407,
  title  = {The Double Star Sequences and the General Second Zagreb Index},
  author = {Leonid Bedratyuk},
  journal= {arXiv preprint arXiv:1809.06407},
  year   = {2019}
}

Comments

13 pages

R2 v1 2026-06-23T04:09:15.373Z