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AAAI 2026

January 23, 2026

Singapore, Singapore

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In Bi-Objective Search (BOS), the task is to find all Pareto-optimal paths in a graph where each edge has two cost values. Skyler et. al. (2024) proposed a general algorithmic framework for BOS and divided the search nodes into classes. They also discussed several ordering functions of the objectives that are used to choose nodes for expansion. In this paper, we continue this line of research. We further refine the classes of nodes and show that many nodes that are classified as never-expand nodes, that were added to the open list, still need to be extracted from the open list and be further examined. Additionally, we introduce a method that enables constant-time dominance checks for the MIN and MAX ordering functions. This allows a practical usage of these ordering functions, as we demonstrate in our experimental section.

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