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A channel from a process p to a process q satisfies the ADD property if thereare constants K and D, unknown to the processes, such that in any sequence of Kconsecutive messages sent by p to q, at least one of them is delivered to q atmost D time units after it has been sent. This paper studies implementations ofan eventual leader, namely, an {\Omega} failure detector, in an arbitrarilyconnected network of eventual ADD channels, where processes may fail bycrashing. It first presents an algorithm that assumes that processes initiallyknow n, the total number of processes, sending messages of size O( log n).Then, it presents a second algorithm that does not assume the processes know n.Eventually the size of the messages sent by this algorithm is also O( log n).These are the first implementations of leader election in the ADD model. Inthis model, only eventually perfect failure detectors were considered, sendingmessages of size O(n log n).

Leader Election in Arbitrarily Connected Networks with Process Crashes and Weak Channel Reliability