Count to infinity is a problem associated with

Answer: distance vector routing protocol.

Explanation:

• What count-to-infinity means: routers repeatedly increase the metric for a route (for example hop count) because of routing loops, eventually reaching a protocol-defined 'infinity'.

• Why it occurs in distance-vector protocols: these protocols share only distance information with neighbors rather than full topology, so incorrect route information can propagate and be incrementally increased without global knowledge to stop it.

• Why link-state protocols avoid it: link-state protocols distribute full topology information and compute shortest paths locally, preventing the incremental metric increases that cause count-to-infinity.

• Common mitigations in distance-vector protocols: split horizon, poison reverse, and hold-down timers reduce or prevent count-to-infinity.