A classification of total irregularity of polyomino chains based on segments by using non-decreasing real function

The total irregularity is a type of graph invariant and for a given simple graph G is calculated by the formula, irr_t(G)=\dfrac{۱}{۲}\sum_{\{u,v\} \subseteq V(G)}\mid deg_Gu-deg_Gv\mid, in which deg_Gv is the degree of the vertex v of G. This paper aims to offer a classification of polyomino chains based on segments in terms of total irregularity. We can find a sequence for all polyomino chains concerning this graph invariant by defining a non-decreasing function.

کلیدواژه ها:

Total irregularity ، polyomino chain