291@2025@IJCAI

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#1 Bimodal Depth-First Search for Scalable GAC for AllDifferent [PDF] [Copy] [Kimi] [REL]

Authors: Sulian Le Bozec-Chiffoleau, Nicolas Beldiceanu, Charles Prud'homme, Gilles Simonin, Xavier Lorca

We propose a version of DFS designed for Constraint Programming, called bimodal DFS, that scales to both sparse and dense graphs. It runs in O(n + ~m) time, where ~m is the sum, for each vertex v, of the minimum between the numbers of successors and non-successors of v. Integrating it into Régin’s GAC algorithm for the AllDifferent constraint results in faster performance as the problem size increases, outperforming a GPU-accelerated version. In the vast majority of our tests, GAC now performs similarly to BC in terms of speed, but is able to solve more problems.

Subject: IJCAI.2025 - Constraint Satisfaction and Optimization