# Degree sequence of the generalized Sierpinski graph

## TL;DR

This paper calculates the degree sequence and the first Zagreb index of the generalized Sierpinski graph based on the parameters of its base graph G, providing a mathematical characterization of its structure.

## Contribution

It introduces formulas for the degree sequence and Zagreb index of the generalized Sierpinski graph in relation to the base graph G, advancing understanding of its properties.

## Key findings

- Degree sequence expressed in terms of base graph parameters
- First Zagreb index derived for the generalized Sierpinski graph
- Provides a mathematical framework for analyzing these graphs

## Abstract

We determine the degree sequence of the generalized Sierpinski graph and its general first Zagreb index in terms of the same parameters of the base graph G.