Robbins' theorem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Robbins' theorem" in English language version.

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4ams.org

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1semanticscholar.org

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mathscinet.ams.org

Gross & Yellen (2006). Gross, Jonathan L.; Yellen, Jay (2006), "Characterization of strongly orientable graphs", Graph Theory and its Applications, Discrete Mathematics and its Applications (2nd ed.), Boca Raton, FL: Chapman & Hall/CRC, pp. 498–499, ISBN 978-1-58488-505-4, MR 2181153.
Vishkin (1985) credits this observation to Atallah (1984), and Balakrishnan (1996) credits it to Roberts (1978). But as Clark & Holton (1991) point out, the same algorithm is already included (with the assumption of 2-vertex-connectivity rather than 2-edge-connectivity) in the seminal earlier work of Hopcroft & Tarjan (1973) on depth-first search. Vishkin, Uzi (1985), "On efficient parallel strong orientation", Information Processing Letters, 20 (5): 235–240, doi:10.1016/0020-0190(85)90025-0, MR 0801988. Balakrishnan, V. K. (1996), "4.6 Strong Orientation of Graphs", Introductory Discrete Mathematics, Mineola, NY: Dover Publications Inc., p. 135, ISBN 978-0-486-69115-2, MR 1402469. Roberts, Fred S. (1978), "Chapter 2. The One-Way Street Problem", Graph Theory and its Applications to Problems of Society, CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 29, Philadelphia, Pa.: Society for Industrial and Applied Mathematics (SIAM), pp. 7–14, ISBN 9780898710267, MR 0508050. Clark, John; Holton, Derek Allan (1991), "7.4 Traffic Flow", A first look at graph theory, Teaneck, NJ: World Scientific Publishing Co. Inc., pp. 254–260, ISBN 978-981-02-0489-1, MR 1119781. Hopcroft, John; Tarjan, Robert (1973), "Algorithm 447: efficient algorithms for graph manipulation", Communications of the ACM, 16 (6): 372–378, doi:10.1145/362248.362272, S2CID 14772567.
Vishkin (1985). Vishkin, Uzi (1985), "On efficient parallel strong orientation", Information Processing Letters, 20 (5): 235–240, doi:10.1016/0020-0190(85)90025-0, MR 0801988.
Soroker (1988). Soroker, Danny (1988), "Fast parallel strong orientation of mixed graphs and related augmentation problems", Journal of Algorithms, 9 (2): 205–223, doi:10.1016/0196-6774(88)90038-7, MR 0936106.

books.google.com

Gross & Yellen (2006). Gross, Jonathan L.; Yellen, Jay (2006), "Characterization of strongly orientable graphs", Graph Theory and its Applications, Discrete Mathematics and its Applications (2nd ed.), Boca Raton, FL: Chapman & Hall/CRC, pp. 498–499, ISBN 978-1-58488-505-4, MR 2181153.
Vishkin (1985) credits this observation to Atallah (1984), and Balakrishnan (1996) credits it to Roberts (1978). But as Clark & Holton (1991) point out, the same algorithm is already included (with the assumption of 2-vertex-connectivity rather than 2-edge-connectivity) in the seminal earlier work of Hopcroft & Tarjan (1973) on depth-first search. Vishkin, Uzi (1985), "On efficient parallel strong orientation", Information Processing Letters, 20 (5): 235–240, doi:10.1016/0020-0190(85)90025-0, MR 0801988. Balakrishnan, V. K. (1996), "4.6 Strong Orientation of Graphs", Introductory Discrete Mathematics, Mineola, NY: Dover Publications Inc., p. 135, ISBN 978-0-486-69115-2, MR 1402469. Roberts, Fred S. (1978), "Chapter 2. The One-Way Street Problem", Graph Theory and its Applications to Problems of Society, CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 29, Philadelphia, Pa.: Society for Industrial and Applied Mathematics (SIAM), pp. 7–14, ISBN 9780898710267, MR 0508050. Clark, John; Holton, Derek Allan (1991), "7.4 Traffic Flow", A first look at graph theory, Teaneck, NJ: World Scientific Publishing Co. Inc., pp. 254–260, ISBN 978-981-02-0489-1, MR 1119781. Hopcroft, John; Tarjan, Robert (1973), "Algorithm 447: efficient algorithms for graph manipulation", Communications of the ACM, 16 (6): 372–378, doi:10.1145/362248.362272, S2CID 14772567.

doi.org

Vishkin (1985) credits this observation to Atallah (1984), and Balakrishnan (1996) credits it to Roberts (1978). But as Clark & Holton (1991) point out, the same algorithm is already included (with the assumption of 2-vertex-connectivity rather than 2-edge-connectivity) in the seminal earlier work of Hopcroft & Tarjan (1973) on depth-first search. Vishkin, Uzi (1985), "On efficient parallel strong orientation", Information Processing Letters, 20 (5): 235–240, doi:10.1016/0020-0190(85)90025-0, MR 0801988. Balakrishnan, V. K. (1996), "4.6 Strong Orientation of Graphs", Introductory Discrete Mathematics, Mineola, NY: Dover Publications Inc., p. 135, ISBN 978-0-486-69115-2, MR 1402469. Roberts, Fred S. (1978), "Chapter 2. The One-Way Street Problem", Graph Theory and its Applications to Problems of Society, CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 29, Philadelphia, Pa.: Society for Industrial and Applied Mathematics (SIAM), pp. 7–14, ISBN 9780898710267, MR 0508050. Clark, John; Holton, Derek Allan (1991), "7.4 Traffic Flow", A first look at graph theory, Teaneck, NJ: World Scientific Publishing Co. Inc., pp. 254–260, ISBN 978-981-02-0489-1, MR 1119781. Hopcroft, John; Tarjan, Robert (1973), "Algorithm 447: efficient algorithms for graph manipulation", Communications of the ACM, 16 (6): 372–378, doi:10.1145/362248.362272, S2CID 14772567.
Vishkin (1985). Vishkin, Uzi (1985), "On efficient parallel strong orientation", Information Processing Letters, 20 (5): 235–240, doi:10.1016/0020-0190(85)90025-0, MR 0801988.
Soroker (1988). Soroker, Danny (1988), "Fast parallel strong orientation of mixed graphs and related augmentation problems", Journal of Algorithms, 9 (2): 205–223, doi:10.1016/0196-6774(88)90038-7, MR 0936106.

semanticscholar.org

api.semanticscholar.org

Vishkin (1985) credits this observation to Atallah (1984), and Balakrishnan (1996) credits it to Roberts (1978). But as Clark & Holton (1991) point out, the same algorithm is already included (with the assumption of 2-vertex-connectivity rather than 2-edge-connectivity) in the seminal earlier work of Hopcroft & Tarjan (1973) on depth-first search. Vishkin, Uzi (1985), "On efficient parallel strong orientation", Information Processing Letters, 20 (5): 235–240, doi:10.1016/0020-0190(85)90025-0, MR 0801988. Balakrishnan, V. K. (1996), "4.6 Strong Orientation of Graphs", Introductory Discrete Mathematics, Mineola, NY: Dover Publications Inc., p. 135, ISBN 978-0-486-69115-2, MR 1402469. Roberts, Fred S. (1978), "Chapter 2. The One-Way Street Problem", Graph Theory and its Applications to Problems of Society, CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 29, Philadelphia, Pa.: Society for Industrial and Applied Mathematics (SIAM), pp. 7–14, ISBN 9780898710267, MR 0508050. Clark, John; Holton, Derek Allan (1991), "7.4 Traffic Flow", A first look at graph theory, Teaneck, NJ: World Scientific Publishing Co. Inc., pp. 254–260, ISBN 978-981-02-0489-1, MR 1119781. Hopcroft, John; Tarjan, Robert (1973), "Algorithm 447: efficient algorithms for graph manipulation", Communications of the ACM, 16 (6): 372–378, doi:10.1145/362248.362272, S2CID 14772567.