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Burning number of theta graphs

Author

Listed:
  • Liu, Huiqing
  • Zhang, Ruiting
  • Hu, Xiaolan

Abstract

The burning number b(G) of a graph G was introduced by Bonato, Janssen, and Roshanbin [Lecture Notes in Computer Science 8882(2014)] to measure the speed of the spread of contagion in a graph. The graph burning problem is NP-complete even for trees. In this paper, we show that the burning number of any theta graph of order n=q2+r with 1≤r≤2q+1 is either q or q+1. Furthermore, we characterize all theta graphs that have burning number q or q+1.

Suggested Citation

  • Liu, Huiqing & Zhang, Ruiting & Hu, Xiaolan, 2019. "Burning number of theta graphs," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 246-257.
    • Handle: RePEc:eee:apmaco:v:361:y:2019:i:c:p:246-257
    DOI: 10.1016/j.amc.2019.05.031
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    Cited by:

    1. Jesús García-Díaz & Lil María Xibai Rodríguez-Henríquez & Julio César Pérez-Sansalvador & Saúl Eduardo Pomares-Hernández, 2022. "Graph Burning: Mathematical Formulations and Optimal Solutions," Mathematics, MDPI, vol. 10(15), pages 1-20, August.

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