@article {IOPORT.06073277, author = {Dolagh, Safar Vafadar and Moazzami, Dara}, title = {New approximation algorithm for minimum Steiner tree problem.}, year = {2011}, journal = {International Mathematical Forum}, volume = {6}, number = {53-56}, issn = {1312-7594}, pages = {2625-2636}, publisher = {Hikari Ltd., Ruse}, abstract = {Summary: The classical Steiner tree problem in weighted graphs seeks a minimum weight connected subgraph containing a given subset of the vertices which are called required. If the edge weights are all positive, then the resulting subgraph is obviously a tree. The computational nature of the problem makes it a traditional research subject in theory of computing. Steiner tree problem in graphs is NP-complete, i.e., the exact optimal solutions are unlikely computable in polynomial-time unless P=NP. We present a new polynomial time approximation algorithm that achieves an approximation ratio of 1.5 in most graphs, which improves upon the previously best-known approximation algorithm ratio of 1.55.}, identifier = {06073277}, }