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Deterministic Approximation Algorithm for Graph Burning

Author Matej Lieskovský

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Subject Classification

ACM Subject Classification
  • Theory of computation → Graph algorithms analysis
  • Theory of computation → Approximation algorithms analysis
Keywords
  • Graph Algorithms
  • Approximation Algorithms
  • Graph Burning

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Abstract

Graph Burning models a contagion spreading in a network as a process such that in each step one node is infected and also the infection spreads to all neighbors of previously infected nodes. Formally, the burning number b(G) of a given graph G = (V,E), possibly with edge lengths, is the minimum number g such that there exists a sequence of nodes v₁,…,v_g satisfying the property that for each w ∈ V there exists i ∈ {1,…,g} so that the distance between w and v_i is at most g-i.
We present an elegant deterministic 2.314-approximation algorithm for the Graph Burning problem on general graphs with arbitrary edge lengths. This algorithm matches the approximation ratio of the previous randomized 2.314-approximation algorithm and improves on the previous deterministic 3-approximation algorithm.

Cite As Get BibTex

Matej Lieskovský. Deterministic Approximation Algorithm for Graph Burning. In 33rd Annual European Symposium on Algorithms (ESA 2025). Leibniz International Proceedings in Informatics (LIPIcs), Volume 351, pp. 108:1-108:7, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2025) https://doi.org/10.4230/LIPIcs.ESA.2025.108

Author Details

Matej Lieskovský
  • Faculty of Mathematics and Physics, Computer Science Institute of Charles University, Prague, Czech Republic

Funding

  • Lieskovský, Matej: Supported by GAUK project 234723, GA ČR project 19-27871X, and the grant SVV–2025–260822.

Acknowledgements

We wish to thank our reviewers and colleagues for their insightful feedback.

References

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