Problem$-2$: Homogenous amalgamated Star : $S_{n,m}$

$(3$ Marks$)$

For $n3,$ homogenous amalgamated

star $S_{n,m}$ admits the edge irregular k$-$

labeling.

Order of $S_{n,m}=mn+1$

Vertex label is at most $k$ and the edge

weights are distinctive, thus $S_{n,m}$ admits

the edge irregular $k-$labeling.

$k=|$~$\frac{mn+1}{2}$~$|$ Devise an algorithm $/$ pseudocode

to assign the labels to the vertices using vertex k$-$

labeling definition