Rubinstein, J. H.; Thomas, D. A.; Weng, J. F. Degree-five Steiner points cannot reduce network costs for planar sets. (English) Zbl 0774.05032 Networks 22, No. 6, 531-537 (1992). Answering a question due to W. M. Boyce the authors show that a degree- five Steiner point can never appear in a least-cost planar network. Reviewer: P.Kirschenhofer (Wien) Cited in 5 Documents MSC: 05C05 Trees Keywords:Steiner problem; least-cost planar network PDF BibTeX XML Cite \textit{J. H. Rubinstein} et al., Networks 22, No. 6, 531--537 (1992; Zbl 0774.05032) Full Text: DOI OpenURL References: [1] Can degree five Steiner points reduce network costs for planar sets. Preprint (1970). [2] Cockayne, SIAM J. Appl. Math. 18 pp 150– (1970) [3] Cockayne, Info. Process. Lett. 22 pp 151– (1986) [4] Cockayne, Math. Mag. 42 pp 206– (1969) [5] Smith, Networks 11 pp 23– (1981) [6] Rubinstein, Ann. of Operations Res. 33 pp 481– (1991) [7] Winter, Networks 15 pp 323– (1985) 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.