How many spanning trees does the following graph have? 4

How Many Spanning Trees Can A Graph Has?

7. How many topological orderings does the following graph have? What are they? 6 d b (f

Run BFS algorithm on the following graph starting with vertex s. Whenever there is a choice of vertices, choose the one that is alphabetically first. What is the order that the vertices are visited? What is the shortest path from vertex s to vertex b?

Recursively, a complete binary tree is a graph. Basis step: One vertex forms a binary tree. Inductive step: If T1 and T2 are disjoint complete binary trees with roots r1, r2, respectively, the graph produced by starting with a root r and adding an edge from r to each of the vertices r1, r2 is also complete. Recursively define a complete binary tree's leaves. Base step: The full binary tree has one root, r. Inductive step: T's leaves are the union of T1's and T2's.       Class defines binary tree height h(T). Use structural induction to prove that `(T), the number of leaves of a complete binary tree T, is less than 2 h(T).

Select all the graphs that are trees.

Please provide all the spanning trees possible from the graph below:

Which of the following are properties of every tree? a. The graph must be rooted b. Every vertex must have a parent c. The graph is connected d. There are no cycles e. There is a unique path between every pair of vertices f. Every vetex must have a child

Which of the following is false? * i need answer now

No code please and thank you.