Peripheral cycle (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Peripheral cycle" in English language version.

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Tutte, W. T. (1963), "How to draw a graph", Proceedings of the London Mathematical Society, Third Series, 13: 743–767, doi:10.1112/plms/s3-13.1.743, MR 0158387.
Tutte, W. T. (1960), "Convex representations of graphs", Proceedings of the London Mathematical Society, Third Series, 10: 304–320, doi:10.1112/plms/s3-10.1.304, MR 0114774.
See the remarks following Theorem 2.8 in Tutte (1963). As Tutte observes, this was already known to Whitney, Hassler (1932), "Non-separable and planar graphs", Transactions of the American Mathematical Society, 34 (2): 339–362, doi:10.2307/1989545, JSTOR 1989545, MR 1501641.
Bruhn, Henning (2004), "The cycle space of a 3-connected locally finite graph is generated by its finite and infinite peripheral circuits", Journal of Combinatorial Theory, Series B, 92 (2): 235–256, doi:10.1016/j.jctb.2004.03.005, MR 2099143.
Thomassen, Carsten; Toft, Bjarne (1981), "Non-separating induced cycles in graphs", Journal of Combinatorial Theory, Series B, 31 (2): 199–224, doi:10.1016/S0095-8956(81)80025-1, MR 0630983.
Seymour, P. D.; Weaver, R. W. (1984), "A generalization of chordal graphs", Journal of Graph Theory, 8 (2): 241–251, doi:10.1002/jgt.3190080206, MR 0742878.
E.g. see Borse, Y. M.; Waphare, B. N. (2008), "Vertex disjoint non-separating cycles in graphs", The Journal of the Indian Mathematical Society, New Series, 75 (1–4): 75–92 (2009), MR 2662989.
E.g. see Cabello, Sergio; Mohar, Bojan (2007), "Finding shortest non-separating and non-contractible cycles for topologically embedded graphs", Discrete and Computational Geometry, 37 (2): 213–235, doi:10.1007/s00454-006-1292-5, MR 2295054.
Maia, Bráulio, Junior; Lemos, Manoel; Melo, Tereza R. B. (2007), "Non-separating circuits and cocircuits in matroids", Combinatorics, complexity, and chance, Oxford Lecture Ser. Math. Appl., vol. 34, Oxford: Oxford Univ. Press, pp. 162–171, doi:10.1093/acprof:oso/9780198571278.003.0010, ISBN 978-0-19-857127-8, MR 2314567{{citation}}: CS1 maint: multiple names: authors list (link).

doi.org

Tutte, W. T. (1963), "How to draw a graph", Proceedings of the London Mathematical Society, Third Series, 13: 743–767, doi:10.1112/plms/s3-13.1.743, MR 0158387.
Tutte, W. T. (1960), "Convex representations of graphs", Proceedings of the London Mathematical Society, Third Series, 10: 304–320, doi:10.1112/plms/s3-10.1.304, MR 0114774.
See the remarks following Theorem 2.8 in Tutte (1963). As Tutte observes, this was already known to Whitney, Hassler (1932), "Non-separable and planar graphs", Transactions of the American Mathematical Society, 34 (2): 339–362, doi:10.2307/1989545, JSTOR 1989545, MR 1501641.
Bruhn, Henning (2004), "The cycle space of a 3-connected locally finite graph is generated by its finite and infinite peripheral circuits", Journal of Combinatorial Theory, Series B, 92 (2): 235–256, doi:10.1016/j.jctb.2004.03.005, MR 2099143.
Thomassen, Carsten; Toft, Bjarne (1981), "Non-separating induced cycles in graphs", Journal of Combinatorial Theory, Series B, 31 (2): 199–224, doi:10.1016/S0095-8956(81)80025-1, MR 0630983.
Schmidt, Jens M. (2014), "The Mondshein Sequence", Proceedings of the 41st International Colloquium on Automata, Languages and Programming (ICALP'14), Lecture Notes in Computer Science, vol. 8572, pp. 967–978, doi:10.1007/978-3-662-43948-7_80, ISBN 978-3-662-43947-0.
Seymour, P. D.; Weaver, R. W. (1984), "A generalization of chordal graphs", Journal of Graph Theory, 8 (2): 241–251, doi:10.1002/jgt.3190080206, MR 0742878.
E.g. see Cabello, Sergio; Mohar, Bojan (2007), "Finding shortest non-separating and non-contractible cycles for topologically embedded graphs", Discrete and Computational Geometry, 37 (2): 213–235, doi:10.1007/s00454-006-1292-5, MR 2295054.
Maia, Bráulio, Junior; Lemos, Manoel; Melo, Tereza R. B. (2007), "Non-separating circuits and cocircuits in matroids", Combinatorics, complexity, and chance, Oxford Lecture Ser. Math. Appl., vol. 34, Oxford: Oxford Univ. Press, pp. 162–171, doi:10.1093/acprof:oso/9780198571278.003.0010, ISBN 978-0-19-857127-8, MR 2314567{{citation}}: CS1 maint: multiple names: authors list (link).

jstor.org

See the remarks following Theorem 2.8 in Tutte (1963). As Tutte observes, this was already known to Whitney, Hassler (1932), "Non-separable and planar graphs", Transactions of the American Mathematical Society, 34 (2): 339–362, doi:10.2307/1989545, JSTOR 1989545, MR 1501641.