Perfect matching polytope ppm, Data Structure & Algorithms

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.

 

Posted Date: 3/28/2013 2:38:33 AM | Location : United States







Related Discussions:- Perfect matching polytope ppm, Assignment Help, Ask Question on Perfect matching polytope ppm, Get Answer, Expert's Help, Perfect matching polytope ppm Discussions

Write discussion on Perfect matching polytope ppm
Your posts are moderated
Related Questions
Implement multiple stacks in a single dimensional array. Write algorithms for various stack operations for them.

explain the prims''s algorithm with suitable example?

Program Insertion of a node into any Circular Linked List Figure depicts a Circular linked list from which an element was deleted. ALGORITHM (Deletion of an element from a

What do you understand by tree traversal? The algorithm walks by the tree data structure and performs some computation at everynode in the tree. This process of walking by the

How branching takes place in Instruction pipeline. Explain with suitable examples

The number of leaf nodes in a complete binary tree of depth d is    2 d

A company is carrying out a survey by observing traffic at a road junction. Every time a car, bus or lorry passed by road junction it was noted down. 10 000 vehicles were counted d

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

A graph is a mathematical structure giving of a set of vertexes (v1, v2, v3) and a group of edges (e1, e2, e3). An edge is a set of vertexes. The two vertexes are named the edge en

Given is the structure of an AVL tree: struct avl { struct node *left; int info; int bf; struct node *right; }; 2) A multiway tree of n order is an ord