G1 and G2 are two graphs that have the same degree sequence

G1 and G2 are two graphs that have the same degree sequence. If G1 contains a vertex of degree 2 that is adjacent to a vertex of degree 3 and a vertex of degree 4, while G2 contains a vertex of degree 2 that is adjacent to two vertices of degree 3, can we conclude that G1 G2? Explain you answer.

Solution

No since 2 graphs are said to be equal if they same number of vertices and same degree for vertices so if a vertex is not adjacent same type vertices in another graph it doesn\'t mean they are unequal there may be another vertex withe same degree some where else.