Goddard, Wayne; Oellermann, Ortrud R.; Swart, Henda C. Steiner distance stable graphs. (English) Zbl 0809.05042 Discrete Math. 132, No. 1-3, 65-73 (1994). The authors give a short overview of useful notions and results dealing with Steiner distance stable graphs. They generalize these notions and define \(k\)-vertex \(l\)-edge \((s,m)\)-Steiner distance stable graphs, where \(k\), \(l\), \(s\) and \(m\) are nonnegative integers with \(m\geq s\geq 2\) and \(k\) and \(l\) are not both zero. The authors study relatively hard mathematical problems and also discuss the computational complexity of some of them. Reviewer: F.Gliviak (Bratislava) Cited in 3 Documents MSC: 05C12 Distance in graphs 05C85 Graph algorithms (graph-theoretic aspects) 68Q25 Analysis of algorithms and problem complexity Keywords:Steiner distance stable grahs; computational complexity PDFBibTeX XMLCite \textit{W. Goddard} et al., Discrete Math. 132, No. 1--3, 65--73 (1994; Zbl 0809.05042) Full Text: DOI References: [1] Ali, H. H.; Boals, A.; Sherwani, N. S., Distance stable graphs, 2nd Internat. Conf. in Graph Theory, Combinatorics, Algorithms and Applications (1989), San Francisco [2] Beasley, J. E., An SST-based algorithm for the Steiner problem in graphs, Networks, 19, 1-16 (1989) · Zbl 0662.90083 [3] Chartrand, G.; Lesniak, L., Graphs and Digraphs (1986), Wadsworth & Books/Cole: Wadsworth & Books/Cole Montery CA · Zbl 0666.05001 [4] Entringer, R. C.; Jackson, D. E.; Slater, P. J., Geodetic connectivity of graphs, IEEE Trans. Circuits and Systems, 24, 460-463 (1977) · Zbl 0344.05137 [5] Garey, M. R.; Johnson, D. S., Computers and Intractability: A Guide to the Theory of NP-Completeness (1979), Freeman: Freeman San Francisco · Zbl 0411.68039 [6] Goddard, W.; Oellermann, O. R.; Swart, H. C., A new approach to distance stable graphs, JCMCC, JCMCC, 8, 209-220 (1990) · Zbl 0755.05034 [7] Winter, P., Steiner problem in networks: A survey, Networks, 17, 129-167 (1987) · Zbl 0646.90028 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.