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Cops and Robbers graph problem reframed as non-deterministic planning challenge

Researchers have framed the "Cops and Robbers" problem in graph theory as a non-deterministic planning challenge. This approach utilizes advanced planners to determine if a given graph is "k-copwin," meaning k cops can guarantee capturing a robber within a finite number of moves. The model treats cop movements as non-deterministic to account for all possible strategies, while the robber's movements are considered deterministic. The study also incorporates several variations from existing graph theory literature. AI

IMPACT This research reframes a classic graph theory problem using AI planning techniques, potentially advancing AI's capabilities in strategic game simulation and theoretical problem-solving.

RANK_REASON The item is an academic paper detailing a novel approach to a theoretical problem in graph theory. [lever_c_demoted from research: ic=1 ai=0.7]

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

Cops and Robbers graph problem reframed as non-deterministic planning challenge

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The item is an academic paper detailing a novel approach to a theoretical problem in graph theory. [lever_c_demoted from research: ic=1 ai=0.7]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Connor Little, Meagan Mann, Erin Meger, Christian Muise ·

    Domain Design for the Cops and Robbers Problem

    arXiv:2607.18274v1 Announce Type: cross Abstract: Cops and Robbers is a well-studied problem in graph theory. The setting consists of a robber and one or more cops placed on an undirected graph. Taking turns moving throughout the graph, the cops try to capture the robber. The pro…