Trees and graphs , Theory of Computation

Assignment Help:

Trees and Graphs

Overview: The problems for this assignment should be written up in a Mircosoft Word document. A scanned hand written file for the diagrams is also fine. Be sure to include your name and course number within all of the files that you submit. 

1.Trees 

Read the assigned chapter and notes for Week 5 located in the Course Documents area.  

(a)

Draw a binary tree that produces the inorder traversal for the nodes in the following

order: 721, 174, 788, 828, 61, 292, 986, 3, 394, 154, 86, 229. 

Hint: Y

our tree must a binary tree and not a binary search tree. The tree must produce the inorder traversal for the nodes listed in the order provided above. There are several ways that you can draw the tree for this. I recommend first drawing the nodes and links and then filling in the nodes with the correct values that produces the inorder traversal.


 (b)  Briefly explain some of the differences between a multiway tree and a binary search
 
tree.
2. Graphs 
 
Read the assigned chapter and notes for Week 6 located in the Course Documents area.  

(a)  Draw the adjacency list for the following graph:

 

               594_Trees and Graphs.png

 

(b) Briefly state the differences between a sparse and a dense graph, and the mathematical property for each. Also, explain whether a sparse or dense graph is best implemented using and adjacency matrix and why.


Related Discussions:- Trees and graphs

Complement - operations on languages, The fact that SL 2 is closed under i...

The fact that SL 2 is closed under intersection but not under union implies that it is not closed under complement since, by DeMorgan's Theorem L 1 ∩ L 2 = We know that

Moore machine, Construct a Moore machine to convert a binary string of radi...

Construct a Moore machine to convert a binary string of radix 4.

Equivalence of nfas and dfas, In general non-determinism, by introducing a ...

In general non-determinism, by introducing a degree of parallelism, may increase the accepting power of a model of computation. But if we subject NFAs to the same sort of analysis

Flow charts, https://www.google.com/search?q=The+fomula+n%3D%28x%3D0%29%2F%...

https://www.google.com/search?q=The+fomula+n%3D%28x%3D0%29%2F%281%3D2%29.The+value+x%3D0+and+is+used+to+stop+the+algerithin.The+calculation+is+reapeated+using+values+of+x%3D0+is+in

Convert chomsky normal form into binary form, Suppose G = (N, Σ, P, S) is a...

Suppose G = (N, Σ, P, S) is a reduced grammar (we can certainly reduce G if we haven't already). Our algorithm is as follows: 1. Define maxrhs(G) to be the maximum length of the

Numerical integration, what problems are tackled under numerical integratio...

what problems are tackled under numerical integration

Normal forms, how to convert a grammar into GNF

how to convert a grammar into GNF

DFA, designing DFA

designing DFA

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd