Two-connected Spanning Subgraphs with at Most
نویسنده
چکیده
منابع مشابه
Two-Connected Spanning Subgraphs with at Most $\frac{10}{7}{OPT}$ Edges
We present a 10 7 -approximation algorithm for the minimum two-vertex-connected spanning subgraph problem.
متن کاملTwo Approaches for the Generalization of Leaf Edge Exchange Graphs on Spanning Trees to Connected Spanning k-Edge Subgraphs of a Graph
In a paper of Harary and Plantholt, they concluded by noting that they knew of no generalization of the leaf edge exchange (LEE) transition sequence result on spanning trees to other natural families of spanning subgraphs. Now, we give two approaches for such a generalization. We define two kinds of LEE-graphs over the set of all connected spanning k-edge subgraphs of a connected graph G, and s...
متن کاملPacking of 2-Connected Spanning Subgraphs and Spanning Trees
We prove that every (6k + 2`, 2k)-connected simple graph contains k rigid and ` connected edgedisjoint spanning subgraphs. This implies a theorem of Jackson and Jordán [4] and a theorem of Jordán [6] on packing of rigid spanning subgraphs. Both these results are generalizations of the classical result of Lovász and Yemini [9] saying that every 6-connected graph is rigid for which our approach p...
متن کاملPacking of rigid spanning subgraphs and spanning trees
We prove that every (6k + 2`, 2k)-connected simple graph contains k rigid and ` connected edge-disjoint spanning subgraphs. This implies a theorem of Jackson and Jordán [4] and a theorem of Jordán [6] on packing of rigid spanning subgraphs. Both these results are generalizations of the classical result of Lovász and Yemini [9] saying that every 6-connected graph is rigid for which our approach ...
متن کاملGenerating k-Vertex Connected Spanning Subgraphs and k-Edge Connected Spanning Subgraphs
We show that k-vertex connected spanning subgraphs of a given graph can be generated in incremental polynomial time for any fixed k. We also show that generating k-edge connected spanning subgraphs, where k is part of the input, can be done in incremental polynomial time. These results are based on properties of minimally k-connected graphs which might be of independent interest.
متن کامل