Search algorithms are integral to numerous applications in computer science. With the prevalence of multi-core processors in contemporary computing devices, the parallelization of search algorithms has surfaced as a viable strategy for achieving significant performance enhancements. This paper offers a detailed examination of the performance improvements garnered through the parallelization of search procedures, with a particular emphasis on the Depth-First Search (DFS) algorithm as it pertains to pathway discovery in binary trees. The primary aim of this study was to contrast the performance of the conventional sequential DFS approach with a novel parallel strategy designed to exploit the computational capabilities of multi-core processors. By capitalizing on the resources available in modern desktop and laptop computers, it was intended to markedly diminish the processing time necessary for examining all possible pathways in both symmetrical and asymmetrical binary trees. A meticulous experimental evaluation was conducted using a varied assortment of binary trees, spanning perfectly balanced to highly skewed structures, to ensure a thorough assessment of the effectiveness of both strategies. The primary metric employed for performance evaluation was the total processing time, a crucial consideration for time-critical applications. The experimental results confirmed the superiority of the parallelized method over the conventional sequential DFS approach. The parallel technique demonstrated significantly lower processing times for pathway discovery in all binary tree scenarios tested. These performance enhancements were particularly noticeable in larger and more complex trees, underscoring the potential of parallelization for managing computationally demanding tasks.