Subject Computer Science Data Structures and Algorithms

Question

Give a counterexample to the following claim:
“A set cover instance in which each element is in exactly f sets has a (1 /f )-integral optimal fractional solution (i.e., in which each set is picked an integer multiple of 1 /f).”

Solution Preview

This material may consist of step-by-step explanations on how to solve a problem or examples of proper writing, including the use of citations, references, bibliographies, and formatting. This material is made available for the sole purpose of studying and learning - misuse is strictly forbidden.

Such an instance (of set cover problem) contains collection of at most k subsets Si included in U such that U is covered by their union. We can consider a simple example like below:
U={x,y,z}; Si={{x,y},{y,z},{z,x},{x,y,z}}...

This is only a preview of the solution. Please use the purchase button to see the entire solution

$8.00

or free if you
register a new account!

Assisting Tutor

Related Homework Solutions

5 Problems Involving Greedy Algorithms
Homework Solution
$50.00
Greedy
Algorithm
Analysis
Optimal
Program
Disk
Megabyte
Storage
Capacity
Decimalization
Denomination
Change-making
Half-crown
Florin
Shilling
Sixpence
Threepence
Pence
Coin
Solution
Selection
Sort
Framework
Decomposition
Egyptian
Big Data (530 words)
Homework Solution
$20.00
Big
Data
Algorithm
Input
Output
Complexity
Technical
Scientific
Theory
Performance
Criteria
Cost
Euclidean
Machine
Learning
Structured
Unstructured
Analytics
Business
Voronoi
NP-Hard
Partition
Clustering
Mean
Big-O Complexity Series Question
Homework Solution
$13.00
Big-O
Complexity
Power
Serie
Sequence
Integration
Sum
Geometric
Differentiate
Exponential
Show
Calculation
Step
Detail
Answer
Get help from a qualified tutor
Live Chats