Abstract:
In our paper we study Albertson Index and Sigma index in Trees Given by Degree Sequences and introduced the irregularity of Albertson Index and Sigma index for sequences of degree $(2,3,4)$, We supported this with a set of illustrative examples of obtaining the general relationship as: $$ \operatorname{irr}(G)=\left(d_{n}-1\right)^{2}+\left(d_{n-1}-1\right)^{2}+\sum_{i=1}^{n-2}\left(d_{i}-1\right)\left(d_{i}-2\right)+d ; \ \text { d: known value}. $$
Fulltext:
PDF file (631 kB)