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Constructing Disjoint Paths for Secure Communication

  • Amitabha Bagchi
  • Amitabh Chaudhary
  • Michael T. Goodrich
  • Shouhuai Xu
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2848)

Abstract

We propose a bandwidth-efficient algorithmic solution for perfectly-secure communication in the absence of secure infrastructure. Our solution involves connecting vertex pairs by a set of k edge-disjoint paths (a structure we call a k-system) where k is a parameter determined by the connectivity of the network. This structure is resilient to adversaries with bounded eavesdropping capability. To ensure that bandwidth is efficiently used we consider connection requests as inputs to the k-Edge Disjoint Path Coloring Problem (k-EDPCOL), a generalization of the Path Coloring Problem, in which each vertex pair is connected by a k-system, and each k-system is assigned a color such that two overlapping k-systems do not have the same color. The objective is to minimize the number of colors. We give a distributed and competitive online algorithm for k-EDPCOL. Additionally, since security applications are our focus we prove that a malicious adversary which attacks the algorithm during the process of construction of a k-system cannot learn anything more than if it had attacked the k-system once it was built.

Keywords

Competitive Ratio Secure Communication Disjoint Path Color Class Short Path Tree 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Amitabha Bagchi
    • 1
  • Amitabh Chaudhary
    • 1
  • Michael T. Goodrich
    • 1
  • Shouhuai Xu
    • 1
  1. 1.Dept. of Information & Computer ScienceUniversity of CaliforniaIrvineUSA

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