Mathematics Homework Solutions

Tree Traversal.

Find the: 1. preorder transversal 2. inorder transversal 3. postorder transversal Of the tree attached in the Word document.

More Tree Trans

a. The length of the longest simple circuit in K5 is ???? b. If T is a tree with 999 vertices, then T has ???? edges.

Some More

With these I need to find an ordered pair, an adjacency matrix, and a graph representation for the graph. a. C4. b. W5.

Edges & Vertices

Please see attachment for questions

Binary tree

a. Write 3n − (k + 5) in prefix notation: ????. b. If T is a binary tree with 100 vertices, its minimum height is ????. c. Every full binary tree with 50 leaves has ???? vertices.

Questions

a. Is a directed graph weakly connected if there is a path from a to b and from b to a whenever a and b are vertices in the graph? b. If two trees have the same number of vertices and the same degrees, are the two trees isomorphic?

Are these True, I need to understand them better

a. If T is a rooted binary tree of height 5, then T has at most 25 leaves. b. If T is a tree with 50 vertices, the largest degree that any vertex can have is 49.

InOrder Transversal

I cannot get the solution. Also, Can a tree have a Hamilton path?

Tree Questions

I need to know if these are true, and if so why. a.)In a rooted binary tree with 16 vertices, there must be a path of length 4. b.)No tree has a Hamilton path.

Prove the relation

Let p, p' be relations such that the range of p equals the domain of p'. Then p o p' (the composition of p and p') is defined as... Please look at the attached doc for rest of question.

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