Domains such as bio-informatics, social network analysis, and computer vision, describe relations between entities and cannot be interpreted as vectors or fixed grids, instead, they are naturally represented by graphs. Often this kind of data evolves over time in a dynamic world, respecting a temporal order being known as temporal graphs. The latter became a challenge since subgraph patterns are very difficult to find and the distance between those patterns may change irregularly over time. While state-of-the-art methods are primarily designed for static graphs and may not capture temporal information, recent works have proposed mapping temporal graphs to static graphs to allow for the use of conventional static kernels and graph neural approaches. In this study, we compare the transitive reduction impact on these mappings in terms of accuracy and computational efficiency across different classification tasks. Furthermore, we introduce a novel mapping method using a transitive reduction approach that outperforms existing techniques in terms of classification accuracy. Our experimental results demonstrate the effectiveness of the proposed mapping method in improving the accuracy of supervised classification for temporal graphs while maintaining reasonable computational efficiency.