NP

HW questions?

••

•

PATH

••

• s t

••

PATH

•• p G s t

• m G

• V <G, s, t, p>, p p s

• O(m)

pp

• O(m)

• O(m2)

t

• = O(m) + O(m2) = O(m2) = m PATH

• c nk n w •

• PATH

HAMPATH

•

••

• s t

••

•• O(m2)

• HAMPATH

NP

• PATH NP, P

• HAMPATH NP, P

NP

• L NP V

• L w = • V w c

• L , • N • N

••

• k k

•

•

•

O(k)

O(k2)

O(k2)

•

• COMPOSITES

••

••

•

?Vs?

One of the greatest unsolved mysteries

in math and computer science

???

Check-in Quiz 11/25

End of Class Survey 11/25