منابع مشابه
Editing to Eulerian Graphs
We investigate the problem of modifying a graph into a connected graph in which the degree of each vertex satisfies a prescribed parity constraint. Let ea, ed and vd denote the operations edge addition, edge deletion and vertex deletion respectively. For any S ⊆ {ea, ed, vd}, we define Connected Degree Parity Editing(S) (CDPE(S)) to be the problem that takes as input a graph G, an integer k and...
متن کاملSubsemi - Eulerian Graphs
A graph is subeulerian if it is spanned by an eulerian supergraph. Boesch, Suffel and Tindell have characterized the class of subeulerian graphs and determined the minimum number of additional lines required to make a subeulerian graph eulerian. In this paper, we consider the related notion of a subsemi-eulerian graph, i.e. a graph which is spanned by a supergraph having an open trail containin...
متن کاملEmbeddings in Eulerian graceful graphs
Let G(V,E) be a graph of order n and size m. A graceful labeling of G is an injection f : V (G) → {0, 1, 2, ...,m} such that, when each edge uv is assigned the label f(uv) = |f(u)− f(v)|, the resultant edge labels are distinct. We focus on general results in graceful labeling, and provide an affirmative answer to the following open problem: Can every connected graph be embedded as an induced su...
متن کاملCircuit Decompositions of Eulerian Graphs
Let G be an eulerian graph. For each vertex v # V(G), let P(v) be a partition of the edges incident with v and set P= v # V(G) P(v), called a forbidden system of G. We say that P is admissible if |P & T | 2 |T | for every P # P and every edge cut T of G. H. Fleischner and A. Frank (1990, J. Combin. Theory Ser. B 50, 245 253) proved that if G is planar and P is any admissible forbidden system of...
متن کاملOn Making Directed Graphs Eulerian
A directed graph is called Eulerian, if it contains a tour that traverses every arc in the graph exactly once. We study the problem of Eulerian Extension (EE) where a directed multigraph G and a weight function is given and it is asked whether G can be made Eulerian by adding arcs whose total weight does not exceed a given threshold. This problem is motivated through applications in vehicle rou...
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ژورنال
عنوان ژورنال: Journal of Computer and System Sciences
سال: 2016
ISSN: 0022-0000
DOI: 10.1016/j.jcss.2015.10.003