Modelling the Eulerian Path Problem using a String Matching Framework

Dragos Trinca

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Modelling the Eulerian Path Problem using a String Matching Framework

Dragos Trinca

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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}).

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Dragos Trinca. 2005-08-21. Modelling the Eulerian Path Problem using a String Matching Framework. https://arxiv.org/abs/cs/0508087

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