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Consider the network given below with routers $\text{A, B, C, D}$ and $\text{E}.$

If the network follows link state routing algorithm to determine next hop for least cost path then which constraints on $x$ and $y$ guarantee traffic from $\text{B}$ to $\text{C}$ will always flow through node $\text{A}?$

  1. $x>4$
  2. $y+x<6$
  3. $y+x<4$
  4. $x<4$
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There are 3 path from B to C,

BAC(6+X) ,BDAC(4+X+Y),BDEC(8)

NOW WE WANT PATH ALWAYS THROUGH A HENCE 6+X<8 AND 4+X+Y<8

WHICH MEANS X<2 AND X+Y<4

HENCE C IS MOST STRONG ANSWER.
Answer:

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