Equal degree sum of two graph shows they have equal vertex degrees??

Question

I am looking for the answer of the question if two graphs have equal degree sum, then whether both have equal vertex degree.i.e., If $G$ has vertices $d_{i}$ and $G^{\prime}$ has vertices $d^{\prime}_{i},i=1,2,..,n$ and $\sum_{i=1}^{n}d_{i}$=$\sum_{i=1}^{n}d^{\prime}_{i}$, can we say that $d_{1}=d^{\prime}_{1}, d_{2}=d^{\prime}_{2},...,d_{n}=d^{\prime}_{n}$

Answer 1

Counter examples are easily generated. Eg see below.