On finding spanning eulerian subgraphs

Abstract

In this article, we examine the problem of producing a spanning Eulerian subgraph in an undirected graph. After the ℋ-completeness of the general problem is established, we present polynomial-time algorithms for both the maximization and minimization versions where instances are defined on a restricted class of graphs referred to as series-parallel. Some novelties in the minimization case are discussed, as are heuristic ideas.