Define an s - t cut for node-capacitated networks

Assignment Help Computer Engineering

Reference no: EM132135985

In a standard s - t maximum flow problem, we assume edges have capacities, and there is no limit on how much flow is allowed to flow through a node.

In this problem, we consider the variant of the maximum flow and minimum cut problems with node capacities. Let G = (V, E) be a directed graph, with source s, sink t , and non-negative node capacities uv for each v ? V .

Given a flow f in this graph, the flow though a node v is defined as P e?d-(v) fe. where d -(v) denotes the edges coming into v. We say that a flow is feasible, if it satisfies the usual flow-conservation constraints and the node-capacity constraint: the flow through a node v cannot exceed cv.

Give a polynomial-time algorithm to find a s - t maximum flow in such node-capacitated network.

Define an s - t cut for node-capacitated networks, and show that the analog of the Maximum Flow Min Cut theorem holds true.

Reference no: EM132135985

Questions Cloud

Discuss the need for open systems communication : There are standards in network communication through which data is transferred from one system to another.

Design and code your own lifo stack using single liked list : Design and code your own LIFO Stack using single liked list to hold a list of integers. Use the C++ "struct" structure to create your SLL nodes.

Provide story boards illustrating the user interface : 7002ICT - Systems Development - Provide story boards illustrating the user interface for at least four (4) screens. Discuss how you have applied best-practice

Create a menu-based system that manages tasks : (1) Add a new entry,(2) Edit the description of previously entered entry,(3) Toggle the active/completed status of an entry.

Define an s - t cut for node-capacitated networks : In a standard s - t maximum flow problem, we assume edges have capacities, and there is no limit on how much flow is allowed to flow through a node.

Write a select statement that returns one column : Write a SELECT statement that returns one column from the Vendor table named Full Name.

What was the total cost of this survey : Of the people interviewed, 220 liked a thin crust, 270 like a thick crust, 70 liked both and 50 did not like pizza at all. What was the total cost of this surve

Create a stack using linked lists if we force ourselves : We can create a stack using linked lists if we force ourselves to insert and remove nodes only at the top of the list.

Is the true mean greater than the hypothesized mean : Is the true mean greater than the hypothesized mean? Use a = 0.05.

User Account

All Pages