Perfect matching polytope ppm, Data Structure & Algorithms

Assignment Help:

Let G=(V,E) be a graph for which all nodes have degree 5 and where G is 5-edge is connected.

a) Show that the vector x which is indexed by the edges E and for which xe = 1/5 for all e in E is in the Perfect Matching Polytope PPM.

b) Use your result in a) to show that G must have a perfect matching.

c)  Show that b) may not be true if G is only 1-edge connected (but still has degree 5 everywhere) by giving an example of such a graph G which has no perfect matching.

 


Related Discussions:- Perfect matching polytope ppm

Draw a flowchart that takes temperatures input, Write an algorithm in form ...

Write an algorithm in form of a flowchart that takes temperatures input over a 100 day period (once per day) and outputs the number of days when temperature was below 20C and numbe

Decision tree - id3 algorithm, Decision Tree - ID3 algorithm: Imagine ...

Decision Tree - ID3 algorithm: Imagine you only ever do one of the following four things for any weekend:   go shopping   watch a movie   play tennis   just

Memory allocation strategies, Q. Explain the various memory allocation stra...

Q. Explain the various memory allocation strategies.                                                            Ans. M e m ory Allocation Strategies are given as follow

Insertion of an element in a linear array, To delete an element in the list...

To delete an element in the list at the end, we can delete it without any difficult. But, assume if we desire to delete the element at the straining or middle of the list, then, we

Algorithm to insert element to a max-heap sequentially, Q. Write  down the ...

Q. Write  down the  algorithm  to  insert  an  element  to  a  max-heap  which  is  represented sequentially.           Ans: The algorithm to insert an element "newkey" to

Array implementation of a queue, Since the stack is list of elements, the q...

Since the stack is list of elements, the queue is also a list of elements. The stack & the queue differ just in the position where the elements may be added or deleted. Similar to

Acyclic graphs, Acyclic Graphs In a directed graph a path is said to fo...

Acyclic Graphs In a directed graph a path is said to form a cycle is there exists a path (A,B,C,.....P) such that A = P. A graph is called acyclic graph if there is no cycle in

Train reorganising, A freight train from Melbourne is approaching Sydney, c...

A freight train from Melbourne is approaching Sydney, carrying n cars of cargos. The cargos are to be delivered to n different cities in the metropolitan area of Sydney - one car f

Merge sorting, ESO207: Programming Assignment 1 Due on 6 Sept, 2015. To be ...

ESO207: Programming Assignment 1 Due on 6 Sept, 2015. To be submitted online. Problem In this assignment you are required to implement k-way Merge Sort algorithm. In this version p

Complete trees, This is a k-ary position tree wherein all levels are filled...

This is a k-ary position tree wherein all levels are filled from left to right. There are a number of specialized trees. They are binary trees, AVL-trees, binary search trees, 2

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