On minimal edge 1-extensions of two special form trees
Prikladnaâ diskretnaâ matematika, no. 13 (2011), pp. 83-84.

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In this paper, we consider two families of trees: one family consists of superslim trees and another one of trees that are a combination of star graphs with adjacent centers. For these families, we propose schemes for constructing one minimal edge-1-extensions.
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M. B. Abrosimov; D. D. Komarov. On minimal edge 1-extensions of two special form trees. Prikladnaâ diskretnaâ matematika, no. 13 (2011), pp. 83-84. http://geodesic.mathdoc.fr/item/PDM_2011_13_a41/

[1] Abrosimov M. B., “O slozhnosti nekotorykh zadach, svyazannykh s rasshireniyami grafov”, Matem. zametki, 88:5 (2010), 643–650

[2] Hayes J. P., “A graph model for fault-tolerant computing system”, IEEE Trans. Comput., C25:9 (1976), 875–884 | DOI | MR | Zbl

[3] Abrosimov M. B., “Minimalnye rasshireniya neorientirovannykh zvezd”, Teoreticheskie problemy informatiki i ee prilozhenii, 7, Saratov, 2006, 3–5

[4] Abrosimov M. B., Komarov D. D., Minimalnye rebernye rasshireniya sverkhstroinykh derevev s malym chislom vershin, Dep. v VINITI 18.10.2010 No 589–V, Saratov. gos. un-t, Saratov, 2010, 27 pp.

[5] Kabanov M. A., “Ob otkazoustoichivykh realizatsiyakh grafov”, Teoreticheskie zadachi informatiki i ee prilozhenii, 1, Saratov, 1997, 50–58