Fault-tolerant designs in lattice networks on the Klein bottle

Main Author: Shabbir, Ayesha; Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan
Format: Article info application/pdf eJournal
Bahasa: eng
Terbitan: GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB , 2014
Subjects:
Online Access: http://www.ejgta.org/index.php/ejgta/article/view/52
http://www.ejgta.org/index.php/ejgta/article/view/52/21
Daftar Isi:
  • In this note, we consider triangular, square and hexagonal lattices on the flat Klein bottle, and find subgraphs with the property that for any $j$ vertices there exists a longest path (cycle) avoiding all of them. This completes work previously done in other lattices.