After how many time ticks, will L's distance vector (i.e., its DV that it exchanges with its neighbor) reflect this change in topology?

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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After how many time ticks, will L's distance vector (i.e., its DV that it exchanges with its neighbor) reflect this change in topology?

 

**5.06-4. Bellman Ford Algorithm (3, part 4).** Consider again the same network shown above and again focus on node L. All links have a cost of 1. 

_Suppose that at time t, the distance vector calculations have completed in all nodes. The link between nodes S and N then goes down at time t. Assuming that all nodes exchange distance vectors (DVs) at times t+1, t+2, (i.e., a clock tick is one time unit)... immediately recompute their DVs and if they transmit a new DV do so at the next integer time value._

_After how many time ticks, will L's distance vector (i.e., its DV that it exchanges with its neighbor) reflect this change in topology?_

- ○ After 1 time tick.
- ○ After 2 time ticks.
- ○ After 8 time ticks - roughly the diameter of the network.
- ○ Four time ticks.
- ○ L's distance vector will not change so it will not send out a change in DV message - i.e., the algorithm will not iterate.

**Diagram Explanation:**  
The diagram shows a 5x5 grid network with nodes labeled A through Y. Each node is connected to its immediate neighbors, forming a lattice structure. All links have the same cost. Focus is given to node L, with emphasis on the change in topology caused by the link failure between nodes S and N.
Transcribed Image Text:**5.06-4. Bellman Ford Algorithm (3, part 4).** Consider again the same network shown above and again focus on node L. All links have a cost of 1. _Suppose that at time t, the distance vector calculations have completed in all nodes. The link between nodes S and N then goes down at time t. Assuming that all nodes exchange distance vectors (DVs) at times t+1, t+2, (i.e., a clock tick is one time unit)... immediately recompute their DVs and if they transmit a new DV do so at the next integer time value._ _After how many time ticks, will L's distance vector (i.e., its DV that it exchanges with its neighbor) reflect this change in topology?_ - ○ After 1 time tick. - ○ After 2 time ticks. - ○ After 8 time ticks - roughly the diameter of the network. - ○ Four time ticks. - ○ L's distance vector will not change so it will not send out a change in DV message - i.e., the algorithm will not iterate. **Diagram Explanation:** The diagram shows a 5x5 grid network with nodes labeled A through Y. Each node is connected to its immediate neighbors, forming a lattice structure. All links have the same cost. Focus is given to node L, with emphasis on the change in topology caused by the link failure between nodes S and N.
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