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Removing Twins in Graphs to Break Symmetries

Author

Listed:
  • Antonio González

    (Departamento de Didáctica de las Matemáticas, Universidad de Sevilla, 41013 Sevilla, Spain)

  • María Luz Puertas

    (Departamento de Matemáticas and Agrifood Campus of International Excellence (ceiA3), Universidad de Almería, 04120 Almería, Spain)

Abstract

Determining vertex subsets are known tools to provide information about automorphism groups of graphs and, consequently about symmetries of graphs. In this paper, we provide both lower and upper bounds of the minimum size of such vertex subsets, called the determining number of the graph. These bounds, which are performed for arbitrary graphs, allow us to compute the determining number in two different graph families such are cographs and unit interval graphs.

Suggested Citation

  • Antonio González & María Luz Puertas, 2019. "Removing Twins in Graphs to Break Symmetries," Mathematics, MDPI, vol. 7(11), pages 1-13, November.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:11:p:1111-:d:287486
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    Cited by:

    1. Josephine Brooks & Alvaro Carbonero & Joseph Vargas & Rigoberto Flórez & Brendan Rooney & Darren Narayan, 2021. "Removing Symmetry in Circulant Graphs and Point-Block Incidence Graphs," Mathematics, MDPI, vol. 9(2), pages 1-16, January.

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