  In this work, we present an extensive analysis of clock synchronization
algorithms, with a specific focus on message complexity. We begin by
introducing fundamental concepts in clock synchronization, such as the
Byzantine generals problem and specific concepts like clock accuracy,
precision, skew, offset, timestamping, and clock drift estimation. Describing
the concept of logical clocks, their implementation in distributed systems is
discussed, highlighting their significance and various approaches. The paper
then examines four prominent clock synchronization algorithms: Lamport's
Algorithm, Ricart-Agrawala Algorithm, Vector Clocks Algorithm, and Christian's
Algorithm. Special attention is given to the analysis of message complexity,
providing insights into the efficiency of each algorithm. Finally, we compare
the message complexities of the discussed algorithms.
