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How Many Lions Are Needed to Clear a Grid?

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Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bfb0070400openalex-snapshot
Pursuit-evasion in a graph
inferredcites →https://doi.org/10.1016/0012-365x(83)90160-7openalex-snapshot
Vertex-to-vertex pursuit in a graph
inferredcites →https://doi.org/10.1016/0097-3165(91)90021-8openalex-snapshot
Compressions and isoperimetric inequalities
inferredcites →https://doi.org/10.1016/j.comgeo.2008.08.001openalex-snapshot
Escaping offline searchers and isoperimetric theorems
inferredcites →https://doi.org/10.1016/j.tcs.2008.02.039openalex-snapshot
Offline variants of the “lion and man” problem
inferredcites →https://doi.org/10.1090/dimacs/005/02openalex-snapshot
Graph searching, path-width, tree-width and related problems (A survey)
inferredcites →https://doi.org/10.1137/0136016openalex-snapshot
A Separator Theorem for Planar Graphs
inferredcites →https://doi.org/10.1145/151261.151263openalex-snapshot
Recontamination does not help to search a graph
inferredcites →https://doi.org/10.1287/ijoc.4.4.447openalex-snapshot
“Lion and Man”: Upper and Lower Bounds

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4814559openalex-extracted
An Isoperimetric Inequality and Pursuit-Evasion Games on Triangular Grid Graphs
inferred← citeshttps://doi.org/10.1007/978-3-030-24766-9_35openalex-snapshot
Geometric Firefighting in the Half-Plane
inferred← citeshttps://doi.org/10.1007/978-3-030-95519-9_8openalex-snapshot
Lions and Contamination, Triangular Grids, and Cheeger Constants
inferred← citeshttps://doi.org/10.1007/978-3-319-63604-7_6openalex-snapshot
Collaborative Patrolling Swarms in Stochastically Expanding Environments
inferred← citeshttps://doi.org/10.1007/978-3-319-89593-2openalex-snapshot
Research in Computational Topology
inferred← citeshttps://doi.org/10.1007/978-3-319-89593-2_5openalex-snapshot
Sweeping Costs of Planar Domains
inferred← citeshttps://doi.org/10.1007/978-3-642-41498-5_4openalex-snapshot
Geometric Problems on Coverage in Sensor Networks
inferred← citeshttps://doi.org/10.1016/j.comgeo.2011.03.001openalex-snapshot
Improved bounds for cops-and-robber pursuit
inferred← citeshttps://doi.org/10.1016/j.comgeo.2017.10.003openalex-snapshot
Reversibility properties of the fire-fighting problem in graphs
inferred← citeshttps://doi.org/10.1016/j.comgeo.2020.101728openalex-snapshot
Geometric firefighting in the half-plane
inferred← citeshttps://doi.org/10.1016/j.comgeo.2022.101961openalex-snapshot
Lions and contamination: Monotone clearings
inferred← citeshttps://doi.org/10.1016/j.dam.2024.12.025openalex-snapshot
An isoperimetric inequality and pursuit-evasion games on triangular grid graphs
inferred← citeshttps://doi.org/10.1016/j.tcs.2015.08.036openalex-snapshot
A local strategy for cleaning expanding cellular domains by simple robots
inferred← citeshttps://doi.org/10.1109/isit45174.2021.9517981openalex-snapshot
Non-Adaptive and Adaptive Two-Sided Search with Fast Objects
inferred← citeshttps://doi.org/10.1137/070700991openalex-snapshot
Vision-Based Pursuit-Evasion in a Grid
inferred← citeshttps://doi.org/10.1142/s0129054119500023openalex-snapshot
On a Fire Fighter’s Problem
inferred← citeshttps://doi.org/10.1142/s0129054124500023openalex-snapshot
Non-Adaptive and Adaptive Two-Sided Search with Fast Objects.
inferred← citeshttps://doi.org/10.1145/1998196.1998240openalex-snapshot
Ant-sweep
inferred← citeshttps://doi.org/10.1145/2951860.2951870openalex-snapshot
Computational Geometry Column 63
inferred← citeshttps://doi.org/10.37236/10577openalex-snapshot
Searching for an Intruder on Graphs and Their Subdivisions
inferred← citeshttps://doi.org/10.48550/arxiv.1412.6065openalex-snapshot
A Fire Fighter's Problem
inferred← citeshttps://doi.org/10.48550/arxiv.1905.02067openalex-snapshot
Geometric Firefighting in the Half-plane
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