Fault diameters of graph products and bundles

  • Authors:
  • Janez Žerovnik

  • Affiliations:
  • Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia and University of Ljubljana, Faculty of Mechanical Engineering, Ljubljana, Slovenia

  • Venue:
  • ICCOMP'10 Proceedings of the 14th WSEAS international conference on Computers: part of the 14th WSEAS CSCC multiconference - Volume II
  • Year:
  • 2010

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Abstract

Fault tolerance and transmission delay of networks are important concepts in network design. The notions are strongly related to connectivity and diameter of a graph, and have been studied by many authors. Wide diameter of a graph combines studying connectivity with the diameter of a graph. Diameter with width k of a graph G is defined as the minimum integer d for which there exist at least k internally disjoint paths of length at most d between any two distinct vertices in G. Fault diameters are diameters of a graph after some of its elements (vertices, edges, or both) are deleted. Cartesian graph products and Cartesian graph bundles are among frequently studied interconnection network topologies. A brief survey of results on fault tolerance parameters of these graph families is given.