کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
419744 | 683856 | 2009 | 8 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Eulerian detachments with local edge-connectivity Eulerian detachments with local edge-connectivity](/preview/png/419744.png)
For a graph GG, a detachment operation at a vertex transforms the graph into a new graph by splitting the vertex into several vertices in such a way that the original graph can be obtained by contracting all the split vertices into a single vertex. A graph obtained from a given graph GG by applying detachment operations at several vertices is called a detachment of graph GG. While detachment operations may decrease the connectivity of graphs, there are several works on conditions for preserving the connectivity. In this paper, we present necessary and sufficient conditions for a given graph/digraph to have an Eulerian detachment that satisfies a given local edge-connectivity requirement. We also discuss conditions for the detachment to be loopless.
Journal: Discrete Applied Mathematics - Volume 157, Issue 4, 28 February 2009, Pages 691–698