Problems on edges and graphs

Assignment Help Data Structure & Algorithms
Reference no: EM1380153

The solution below got cut off. Please let me know what is the total solution:

The number of strongly connected components in a graph G is k. By how much can this number change if we add a new edge?


Suppose if we add an edge to a biconnected graph with k strongly connected components, then there are 3-situations: the endpoints of edge lie in different strongly connected component and there is no path between 2 in the original graph, the endpoints of the edge lie in different strongly connected component and there is a path between the two in the original graph, and the endpoints of the edge lie in the same strongly connected component. In the former, the edge becomes a bridge, and thus the strongly connected components remain separate. In the middle case, the edge completes a simple cycle that includes the path between the two stongly connected components and thus the number of strongly connected components decreaseby n &#8722; 1, where n is the number of strongly connected components on that path (including the two in which the endpoints


Reference no: EM1380153

Previous Q& A

  Finding total available storage capacity

A certain hard disk has 480 cylinders, sixteen tracks, and thirty-two sectors of 512 bytes each. It spins at 4800 revolutions per minute, and has an adjacent cylinder seek time of eighty msec, and a max seek time of onde hundred msec.

  Creating visual web application

Make a Visual Studio.NET 2005 web application with one aspx form. Place a CheckBoxList, TextBox, Button, and Label control on the form.

  Creating a data flow chart

Create a Data Flow Chart and then make an application that allows a user to enter a stock transaction and determine the stockbroker's commission.

  Computing available storage space

There are twenty gigabyte of space on a computer's hard disk. I transfer information via a telephone line (connection) at the rate of 14,400 bits per second.

  Question about communication recovery plan

Think about a natural or man made disaster, and explain how a communications network could be recovered from such a disaster.

  Why internet need http

Discuss why does the Internet need HTTP, TCP, IP and DNS? Explain why is not the Internet Protocol enough to do the job? Please reply to these specific points of confusion.

  Discuss normal function of gene

Choose one germline mutation as your topic focus. Discuss the normal function of the gene as well as the role of the mutated gene in cancer development and/or progression and discuss the nature of the virus, the type of cancers.

  Design a representation of display screen

Create a form that lists possible potatoes and toppings in a manner that is easy for counter servers and kitchen crew to scan, and can also be used as input for the inventory reorder system.

  Communication diary

Choose two of these communications that you feel were poorly constructed or did not get the message across and analyse why this was the case.

  Creating an object oriented data model

Create an object oriented data model, including all appropriate notations, to represent the given situation. In a particular region there are a number of gardens.


Write a Review


Similar Q& A

  Computing total number of keys needed in symmetric cipher

Determine the total number of keys that are needed for organization if symmetric cipher is used.

  Finding equation has no solutions mod m

Let the equation ax = b mod m, where x is unknown and a, b and m are given. Illustrate that this equation has either no solutions mod m, or d solutions mod m.

  Draw flowchart to print average for each student

Draw a flowchart to print the average for each student in a class. Input. Input consists of student records each containing a student's name(STUDENT-NAME), score for first test(TEST), score for second test(TEST2), and score for third test(TEST3)..

  Cloud computing assignment

WSDL service that receives a request for a stock market quote and returns the quote

  Find minimum number of storage required for bfs and dfs

Assume we have problem space where there is uniform branching factor b and there is single goal node at depth m. Determine the minimum number of nodes expanded and storage required for BFS and DFS?

  Steps of asymmetric encryption algorithms to read message

Using only asymmetric encryption algorithms write down any steps taken by Bob which permit him to read the message.

  Explain eager decision tree algorithm-lazy knn algorithm

Discuss the advantages and disadvantages of the new algorithm compared with the eager decision tree algorithm, and the advantages and disadvantages of the new algorithm compared with the lazy kNN algorithm.

  Explaining adaptive playout delay algorithm

Consider adaptive playout delay algorithm. Demonstrate through simple example which adjusting playout delay at beginning of each talk spurt results in compressing

  Write algorithm for graph minimum number of semesters

You are given a DAG called G which is the prerequisite graph for a set of courses required for a degree. Each vertex corresponds to course. Provide a high-level description of algorithm which labels each vertex in G with minimum number of semesters..

  Determine the inorder, preorder and postorder traversal

Determine the Inorder, preorder and postorder traversal

  Modify algorithm to always select president of company

How would you modify your algorithm to always select the president of the company (regardless of his fun rating or the consequences on the overall amount of fun we can achieve)?

  Explaining instruction format of operation code field

Operation code field, a mode field, to specify one of seven addressing modes, a register address field to specify one of 60 processor registers, and memory address. Specify instruction format and number of bits in each field if the instruction ..

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