# Question: Suppose that a graph G has a minimum spanning tree

Suppose that a graph G has a minimum spanning tree already computed. How quickly can the minimum spanning tree be updated if a new vertex and incident edges are added to G?

## Answer to relevant Questions

Suppose that all edge weights in a graph are integers in the range from 1 to |V|. How fast can you make Prim’ s algorithm run? What if the edge weights are integers in the range from 1 to W for some constant W?State the type rules for the assignment (“: =”) and equality comparison (“=”) operators. Give some examples of types for which it might be useful to define two or more distinct possible representations. Can you think of an example where distinct possible representations for the same type have different numbers ...Give an example of your own of a relation with(a) One relation-valued attribute and(b) Two such attributes. Also, give two more relation that represent the same information as those relations but do not involve ...Which of the relational operators defined in this chapter have a definition that does not rely on tuple equality?Post your question