viernes, 29 de mayo de 2015

[Q13] Consecutive ones property

What is the minimum number of probes with which the following strictly overlapping graph can be obtained?
  1. 7
  2. 8
  3. 9
  4. 10
  5. None of the above.

Original idea by: Juan Felipe Hernández Albarracín.

viernes, 22 de mayo de 2015

[Q12] Block interchange

Consider the next genome π:

image/svg+xml a b c d f e 4 6 7 8 5 1 2 9 3

What is the value of DDCJ(π,I) ÷ bid(π), where I is the identity permutation?
  1. 1
  2. 2
  3. 3
  4. 4
  5. None of the above.

Original idea by: Juan Felipe Hernández Albarracín.

viernes, 15 de mayo de 2015

[Q11] The matrix median problem

What can we be sure about the matrix median approximations M(Mx ;A, B, C)?
  1. It will never be lower than the real median score.
  2. It will never be lower than 3/4 of the real median score.
  3. It will never be higher than 4/3 of the real median score.
  4. It will never be higher than the real median score.
  5. None of the above.

Original idea by: Juan Felipe Hernández Albarracín.

viernes, 8 de mayo de 2015

[Q10] Genome rearrangements: algebraic distance, classic rearrangement operations

According to the definition of the permutation ρ = (u v)(πchrΓv πchrΓu) to perform two-break operations, which elements should u and v be, to turn π into σ?

 

  1. u = -c, v = e
  2. u = -c, v = -e
  3. u = b, v = f
  4. u = b, v = -f
  5. None of the above.

Original idea by: Juan Felipe Hernández Albarracín.

viernes, 1 de mayo de 2015

[Q9] Genome rearrangements: algebraic distance, permutations

Let α be a 3-cycle and β be an arbitrary permutation. If two of the elements (a, b) of α are both in one cycle of β and the third element (c) is in another cycle, for the composition αβ :
  1. The cycle with a and b of β breaks into two new cycles. The cycle with c remains the same.
  2. The cycle with c breaks into two new cycles. The cycle with a and b recombines in a different cycle.
  3. The two cycles recombines in two new cycles.
  4. The two cycles of β join together into a new cycle.
  5. None of the above.

Original idea by: Juan Felipe Hernández Albarracín.