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N = number of rows of the graph
D[i[j] = C[i][j]
For k from 1 to n
Do for i = 1 to n
Do for j = 1 to n
D[i[j]= minimum( d ij (k-1) ,d ik(k-1) +d kj(k-1)
Enddo
Where
d ij (k-1) = minimum path from i to j via k-1 intermediate vertices
d ik(k-1) = minimum path from j to k via k-1 intermediate vertices
d kj(k-1) = minimum path from k to j via k-1 intermediate vertices
`
How sparse matrix stored in the memory of a computer?
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Normally a potential y satisfies y r = 0 and 0 ³ y w - c vw -y v . Given an integer K³0, define a K-potential to be an array y that satisfies yr = 0 and K ³ y w - c vw -y v
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