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TTL's given by the Fibonacci sequence?


Not really. You'd want every routers in the path to reply to see all the hops in between. This would be unreliable though, since the ICMP TTL exceeded message might come in out-of-order to the sender, who is sending these probes(with varying TTLs) simultaneously. But assuming, you could somehow figure out the hop-order, this IMO is faster than current traceroute implementation.




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