Maximum Sets of (k, k)−Connected Digital Surfaces

• J.C. Ciria ^[1] ; E. Domínguez ^[1] ; A.R. Francés ^[1] ; A. Quintero ^[2]
  1. [1] Universidad de Zaragoza

     Universidad de Zaragoza

     Zaragoza, España

     
  2. [2] Universidad de Sevilla

     Universidad de Sevilla

     Sevilla, España

     
• Localización: XIII Encuentros de Geometría Computacional: Zaragoza, del 29 de junio al 1 de julio de 2009 / Alfredo García Olaverri (ed. lit.), Javier Tejel Altarriba (ed. lit.), 2009, ISBN 978-84-92774-11-1, págs. 143-150
• Idioma: español
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• Resumen

  • For each adjacency pair (k, ¯k) 6= (6, 6) with k, ¯k 2 {6, 18, 26}, we find a regular (k, ¯k)-connected digital space EU k,¯k whose set Sk,¯k of digital surfaces (i.e., digital objects whose continuous analogue is a combinatorial surface) is the largest in that class of spaces. In particular, several families of (k, ¯k)-surfaces reported in literature within the graph-theoretical approach to Digital Topology are shown to be contained in Sk,¯k .