 |
 Primal Pink Floyd Team Dark Side Cycling Jersey Medium $79.95 Time Remaining: 2d 18h 46m Buy It Now for only: $79.95 |
 Primal Wear Pink Floyd Giza XXXL 3X 3XL Cycling Jersey $79.95 Time Remaining: 3d 10h 51m Buy It Now for only: $79.95 |
 PINK FLOYD cycling jersey XXL PRIMAL bicycle bike SOCKS $79.95 Time Remaining: 4d 1h 26m Buy It Now for only: $79.95 |
 Primal Pink Floyd Long Sleeve Dark Side of the Moon cycling jersey XXL 2X 2XL $79.95 Time Remaining: 4d 22h 26m Buy It Now for only: $79.95 |
 Primal Wear Pink Floyd Dark Side of the Moon Long Sleeve cycling jersey Medium $79.95 Time Remaining: 4d 22h 26m Buy It Now for only: $79.95 |
 Primal Wear Pink Floyd Dark Side of the Moon Long Sleeve cycling jersey LARGE $79.95 Time Remaining: 7d 23h 46m Buy It Now for only: $79.95 |
 Primal Pink Floyd Team Dark Side Cycling Jersey 2X XXL $79.95 Time Remaining: 7d 23h 46m Buy It Now for only: $79.95 |
 Primal Wear Pink Floyd Dark Side of the Moon Long Sleeve cycling jersey XL $79.95 Time Remaining: 8d 3h 46m Buy It Now for only: $79.95 |
 PINK FLOYD cycling jersey XXXL PRIMAL bicycle bike SOX $79.95 Time Remaining: 8d 13h 26m Buy It Now for only: $79.95 |
 PINK FLOYD cycling jersey XL PRIMAL bicycle bike SOCKS $79.95 Time Remaining: 8d 21h 11m Buy It Now for only: $79.95 |
 PINK FLOYD cycling jersey LARGE PRIMAL bicycle bike SOX $79.95 Time Remaining: 14d 10h 51m Buy It Now for only: $79.95 |
 Primal Wear Pink Floyd Prism Cycling Jersey Mens bike bicycle with DeFeet Socks $79.95 Time Remaining: 15d 2h 26m Buy It Now for only: $79.95 |
 Primal Pink Floyd Team Dark Side Cycling Jersey XL Mens $79.95 Time Remaining: 17d 21h 51m Buy It Now for only: $79.95 |
 Pink Floyd Division Bell Cycling Jersey Mens Primal Wear short sleeve with Socks $79.95 Time Remaining: 17d 21h 51m Buy It Now for only: $79.95 |
 PINK FLOYD cycling jersey MEDIUM PRIMAL bicycle bike $79.95 Time Remaining: 19d 21h 6m Buy It Now for only: $79.95 |
 Primal Pink Floyd Dark Side of the Moon Long Sleeve cycling jersey 3X 3XL New $79.95 Time Remaining: 20d 6m Buy It Now for only: $79.95 |
 PINK FLOYD cycling jersey Small PRIMAL bicycle bike sm $79.95 Time Remaining: 24d 22h 51m Buy It Now for only: $79.95 |
 Primal Wear Pink Floyd Wish You Were Here Cycling Jersey Mens bike bicycle $79.95 Time Remaining: 28d 3h 31m Buy It Now for only: $79.95 |
 Primal Pink Floyd Team Dark Side Cycling Jersey 3X XXXL $79.95 Time Remaining: 29d 21h 11m Buy It Now for only: $79.95 |
 PRIMAL WEAR PINK FLOYD DARK SIDE OF THE MOON MENS BICYCLE CYCLING JERSEY X LARGE $79.98 Time Remaining: 10d 4h 52m Buy It Now for only: $79.98 |
 PRIMAL WEAR PINK FLOYD DARK SIDE OF THE MOON MENS BICYCLE CYCLING JERSEY LARGE $79.98 Time Remaining: 10d 4h 52m Buy It Now for only: $79.98 |
 PRIMAL WEAR PINK FLOYD DARK SIDE OF THE MOON MENS BICYCLE CYCLING JERSEY XXL $79.98 Time Remaining: 10d 4h 53m Buy It Now for only: $79.98 |
 PRIMAL WEAR Pink Floyd Dark Side CYCLING JERSEY XL $79.99 Time Remaining: 11d 19h 56m Buy It Now for only: $79.99 |
 PRIMAL WEAR Pink Floyd Dark Side CYCLING JERSEY 2XL $79.99 Time Remaining: 11d 19h 56m Buy It Now for only: $79.99 |
 PRIMAL WEAR Pink Floyd Dark Side CYCLING JERSEY 3XL $79.99 Time Remaining: 11d 19h 57m Buy It Now for only: $79.99 |
 PRIMAL WEAR Pink Floyd Dark Side CYCLING JERSEY Small $79.99 Time Remaining: 24d 19h 13m Buy It Now for only: $79.99 |
 PRIMAL WEAR PINK FLOYD DARK SIDE OF THE MOON MENS BICYCLE CYCLING JERSEY MEDIUM $78.03 Time Remaining: 6d 19h 16m Buy It Now for only: $78.03 |
 Primal Wear Pink Floyd Prism Mens Cycling Jersey LgNWT FREE PRIORITY SHIP $79.95 Time Remaining: 6d 1h 17m Buy It Now for only: $79.95 |
 SALE Pink Floyd Animals Cycling Jersey by Primal Wear Mens Short Sleeve w socks $59.95 Time Remaining: 9d 2h 26m Buy It Now for only: $59.95 |
 SALE Primal Wear Pink Floyd Mens Cycling Jersey XL bicycle new $49.95 Time Remaining: 14d 2h 31m Buy It Now for only: $49.95 |
 PRIMAL WEAR PINK FLOYD DARK SIDE OF THE MOON CYCLING JERSEY MENS M shirt $15.50 (2 Bids) Time Remaining: 3d 47m |
 |
Tour de France 2006 12-Hour DVD : Floyd Landis Hero or Villain?
List Price:  |
DescriptionCheck out this action packed Road Bike DVD, '2006 Tour De France (12 Hr.)'.. |
 |
Tour de France 2006: Floyd Landis Hero or Villain?
List Price: |
DescriptionCheck out this action packed Road Bike DVD, '2006 Tour De France (4 Hr.)'.. |
 |
2006 PARIS-ROUBAIX DVD
List Price: |
DescriptionRace after race, this spring Classics cycling has witnessed both revolution and timely renewal - and at Paris-Roubaix 2006, the arrival of cycling's new generation became a reality that will shape the sport for years to come... |
 |
Primal Wear 2012 Men's Pink Floyd Division Bell Short Sleeve Cycling Jersey - PFD1J20M
|
DescriptionFeatures include: Set-In Cut with 3/4 Hidden Zipper and 3 Rear PocketsMade with 100% SpeedPro advanced moisture transfer fabric |
 |
Pink Floyd - Giza Cycling Jersey
|
DescriptionThe mysterious power of the Giza Pyramids flows through this cycling jersey from Pink Floyd! A sport cut, set-in sleeve with 3/4 hidden zipper and 3 elastic rear pockets. Constructed with 100% SpeedPro Moisture Transfer Fabric, a high-tech, high-quality material designed to wick moisture (and heat!) away from your skin, keeping you dry, comfortable and cool. |
 |
Pink Floyd - Delicate Sounds Cycling Jersey
|
DescriptionA cyclist's delight from Pink Floyd featuring artwork from their 'Delicate Sounds of Thunder' album. A club cut, raglan sleeve jersey constructed with 100% SpeedPro Moisture Transfer Fabric, a high-tech, high-quality material designed to wick moisture (and heat!) away from your skin, keeping you dry, comfortable and cool. |
 |
The Story of the Tour de France, Volume 2: 1965-2007
List Price: |
DescriptionVolume 1 of "The Story of the Tour de France" concluded with Jacques Anquetil's record-setting fifth Tour win. Volume 2 opens with the greatest Italian racer of the modern age, Felice Gimondi and his effortless victory at the young age of 22... |
 |
From Lance to Landis: Inside the American Doping Controversy at the Tour de France
List Price: |
DescriptionFor eight years, the Tour de France, arguably the world’s most demanding athletic competition, was ruled by two men: Lance Armstrong and Floyd Landis. On the surface, they were feature players in one of the great sporting stories of the age–American riders overcoming tremendous odds to dominate a sport that held little previous interest for their countrymen... |
 |
Positively False: The Real Story of How I Won the Tour de France
List Price: |
DescriptionTHE SERIES OF EVENTS surrounding Floyd Landis's 2006 Tour de France was as improbable as anything in the history of sports: He showed up nine seconds late for the race's opening prologue, donned the leader's yellow jersey twelve days later, and lost his lead only to regain it in remarkable fashion just before the Tour's final stage into Paris... |
 |
Primal Wear Men's Pink Floyd Dark Side of the Moon Cycling Sock - PFDSX10U
|
DescriptionPro-Series IX Performance Sock with Advanced Air Transfer System Fabric Composition of 50% Acrylic, 25% Nylon, 15% Spandex and 10% Lycra?. |
Floyd's Algorithm For The All-Pairs Shortest-Path Problem
Floyd's Algorithm for the All-Pairs Shortest-Path Problem:
Â
           The Floyd's algorithm is invented by R. Floyd. This algorithm is applied to both directed and undirected weighted graphs provided that they do not contain a cycle of a negative length.
The Floyd's algorithm is also used to find the shortest path in order to find the distances.
Â
Algorithm Floyd (W[1..n,1...n])
//The input given is a weighted matrix W of a graph with no negative length cycle
//The outputs will a distance matrix of the shortest paths lengths
for k ß1 to n do
           for i ß 1 to n do
                       for j ß 1 to n do
                                   D[i, j] ß min { D[i, j], D[i, k]+D[k, j]}
return D
Â
Consider the following matrix.
Â
           a         b         c         d
a         0         âˆÂ        3         âˆ
b         2         0         âˆÂ        âˆ
c         âˆÂ        7         0         1
d         6         âˆÂ        âˆÂ        0
Â
Steps to solve the Floyds algorithm.
Note: The iteration should start with ‘j' for example k=1;i=1;j=1; and continue till k=1;i=4;j=4 and the iteration should end when all the three variables reaches iteration as 4, That is k=4;i=4;j=4.
We need to take only the minimum value as per the algorithm. We need to find D(1) matrix till D(4) matrix.
Â
Step 1:
                       D[i, j]  D[i, k]+D[k, j]     min { D[i, j], D[i, k]+D[k, j]}  Result
K=1; i=1; j=1Â Â 0Â Â Â Â Â Â Â Â Â 0+0 = 0Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 0Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 0
K=1; i=1; j=2  âˆÂ        0+∠= âˆÂ                     âˆÂ                                            âˆ
K=1; i=1; j=3Â Â 3Â Â Â Â Â Â Â Â Â 0+3 = 3Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 3Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 3
K=1; i=1;j=4   âˆÂ        0+∠= âˆÂ                     âˆÂ                                            âˆ
K=1; i=2; j=1  2         2+∠= ∠                    2                                             2
K=1; i=2;j=2   0         2+∠= âˆÂ                     0                                             0
K=1; i=2; j=3  âˆÂ        2+3 =  5                     5                                             5
K=1; i=2; j=4  âˆÂ        2+∠= âˆÂ                     âˆÂ                                            âˆ
K=1; i=3; j=1  âˆÂ        âˆ+0 = âˆÂ                     âˆÂ                                            âˆ
K=1; i=3; j=2  7         âˆ+∠= âˆÂ                    7                                             7
K=1; i=3; j=3  0         âˆ+3 = âˆÂ                     0                                             0
K=1; i=3; j=4  1         âˆ+∠= âˆÂ                    1                                             1
K=1; i=4; j=1Â Â 6Â Â Â Â Â Â Â Â Â 6+0 = 6Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 6Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 6
K=1; i=4; j=2  âˆÂ        6+∠= âˆÂ                     âˆÂ                                            âˆ
K=1; i=4; j=3  âˆÂ        6+3 = 9                       9                                             9
K=1; i=4; j=4  0         6+∠= âˆÂ                     0                                             0
Â
So, the matrix will be
          Â
D(1) =        a         b         c         d
a         0         âˆÂ        3         âˆ
b         2         0         5         âˆ
c         âˆÂ        7         0         1
d         6         âˆÂ        9         0
Now the position of (2, 3) is changed from ∠to 5 and (4, 3) is changed from ∠to 9.
Â
Step 2:
                       D[i, j]  D[i, k]+D[k, j]     min { D[i, j], D[i, k]+D[k, j]}  Result
K=2; i=1; j=1  0         âˆ+2 = âˆÂ                     0                                             0
K=2; i=1; j=2  âˆÂ        âˆ+0 = âˆÂ                     âˆÂ                                            âˆ
K=2; i=1; j=3  3         âˆ+5 = âˆÂ                     3                                             3
K=2; i=1;j=4   âˆÂ        âˆ+∠= âˆÂ                    âˆÂ                                            âˆ
K=2; i=2; j=1Â Â 2Â Â Â Â Â Â Â Â Â 0+2 = 2Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 2Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 2
K=2; i=2;j=2Â Â Â 0Â Â Â Â Â Â Â Â Â 0+0 = 0Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 0Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 0
K=2; i=2; j=3 Â 5Â Â Â Â Â Â Â Â Â 0+5 =Â Â 5Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 5
K=2; i=2; j=4  âˆÂ        0+∠= âˆÂ                     âˆÂ                                            âˆ
K=2; i=3; j=1  âˆÂ        7+2 = 9                       9                                             9
K=2; i=3; j=2Â Â 7Â Â Â Â Â Â Â Â Â 7+0 = 7Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 7Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 7
K=2; i=3; j=3 Â 0Â Â Â Â Â Â Â Â Â 7+5 = 12Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 0Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 0
K=2; i=3; j=4  âˆÂ        7+∠= âˆÂ                     1                                             âˆ
K=2; i=4; j=1  6         âˆ+∠= âˆÂ                    6                                             6
K=2; i=4; j=2  âˆÂ        âˆ+0 = âˆÂ                     âˆÂ                                            âˆ
K=2; i=4; j=3  9         âˆ+5= âˆÂ                      9                                             9
K=2; i=4; j=4  0         âˆ+∠= âˆÂ                    0                                             0
Â
          Â
Now,
D(2) =                           a         b         c         d
a         0         âˆÂ        3         âˆ
b         2         0         5         âˆ
c         9         7         0         1
d         6         âˆÂ        9         0
In this matrix the position of (3,1) is changed from ∠to 9.
Â
Like wise if we perform the iteration in third step.
In third step the iteration of K is set to 3 and performs the previous steps.
K=3;i=4;j=4
Â
The resultant matrix
Â
D(3) =                           a         b         c         d
a         0         10      3         4
b         2         0         5         6
c         9         7         0         1
d         6         16      9         0
The resultant matrix shows that the positions were infinity (âˆ) is changed to the minimum cost.
The final matrix will be, when you perform K=4; i=4; and j=4.
Â
D(4) =                           a         b         c         d
a         0         10      3         4
b         2         0         5         6
c         7         7         0         1
d         6         16      9         0
This is the steps for solving the Floyds algorithm
Â
Â
Â
Â
Â
About the Author
Karthick.R, Lecturer
Karpagam Institute of Technology,
Coimbatore-21
ph:9944641416