Here the answer is DH=15 since degree sum will not change in different planer embeddings because we redraw the some into other embedding without removing any edge or vertex .
The number of vertices next to a vertex V called the degree. With the exception of by itself, a vertex can build an edge with every other vertex.
a vertex's degree in an undirected graph. In graph theory, a graph is made up of vertices and the edges that connect them (though technically it is possible to have no edges at all.) The number of edges that have incidented on a vertex is represented by its degree. There are no directed edges in an undirected graph.
To know more about degree of a undirected graph refer:
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