TCS-TR-B-15-10Date: Thu Feb 26 09:02:52 2015 Title: Master's Thesis: A Fast Algorithm for Enumerating Eulerian Paths Authors: Muhammad Kholilurrohman Contact:
Abstract. Although a mathematical formula for counting the number of Eulerian cycles in a directed graph is already known [1, 2], no formula is yet known for enumerating such cycles if the graph is an undirected one. In computer science, the latter problem is known to be in #P-complete [3], enumerating the solutions of such problem is known to be hard. In this thesis, an efficient algorithm to enumerate all the Eulerian cycles (paths) of an undirected graph, both simple graph and multigraph, is proposed. ©Copyright 2015 Authors |