English

Modelling the Eulerian Path Problem using a String Matching Framework

Data Structures and Algorithms 2007-05-23 v1

Abstract

The well-known Eulerian path problem can be solved in polynomial time (more exactly, there exists a linear time algorithm for this problem). In this paper, we model the problem using a string matching framework, and then initiate an algorithmic study on a variant of this problem, called the (2,1)-STRING-MATCH problem (which is actually a generalization of the Eulerian path problem). Then, we present a polynomial-time algorithm for the (2,1)-STRING-MATCH problem, which is the most important result of this paper. Specifically, we get a lower bound of Omega(n), and an upper bound of O(n^{2}).

Keywords

Cite

@article{arxiv.cs/0508087,
  title  = {Modelling the Eulerian Path Problem using a String Matching Framework},
  author = {Dragos Trinca},
  journal= {arXiv preprint arXiv:cs/0508087},
  year   = {2007}
}

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10 pages