Graphic matroid (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Graphic matroid" in English language version.

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12doi.org

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12ams.org

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3semanticscholar.org

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mathscinet.ams.org

Tutte, W. T. (1965), "Lectures on matroids" (PDF), Journal of Research of the National Bureau of Standards, 69B: 1–47, doi:10.6028/jres.069b.001, MR 0179781. See in particular section 2.5, "Bond-matroid of a graph", pp. 5–6, section 5.6, "Graphic and co-graphic matroids", pp. 19–20, and section 9, "Graphic matroids", pp. 38–47.
Seymour, P. D. (1980), "On Tutte's characterization of graphic matroids", Annals of Discrete Mathematics, 8: 83–90, doi:10.1016/S0167-5060(08)70855-0, ISBN 9780444861108, MR 0597159.
Gerards, A. M. H. (1995), "On Tutte's characterization of graphic matroids—a graphic proof", Journal of Graph Theory, 20 (3): 351–359, doi:10.1002/jgt.3190200311, MR 1355434, S2CID 31334681.
Tutte, W. T. (1958), "A homotopy theorem for matroids. I, II", Transactions of the American Mathematical Society, 88 (1): 144–174, doi:10.2307/1993244, JSTOR 1993244, MR 0101526.
Karger, David R.; Klein, Philip N.; Tarjan, Robert E. (1995), "A randomized linear-time algorithm to find minimum spanning trees", Journal of the Association for Computing Machinery, 42 (2): 321–328, doi:10.1145/201019.201022, MR 1409738
Fredman, M. L.; Willard, D. E. (1994), "Trans-dichotomous algorithms for minimum spanning trees and shortest paths", Journal of Computer and System Sciences, 48 (3): 533–551, doi:10.1016/S0022-0000(05)80064-9, MR 1279413.
Chazelle, Bernard (2000), "A minimum spanning tree algorithm with inverse-Ackermann type complexity", Journal of the Association for Computing Machinery, 47 (6): 1028–1047, doi:10.1145/355541.355562, MR 1866456, S2CID 6276962.
Tutte, W. T. (1960), "An algorithm for determining whether a given binary matroid is graphic.", Proceedings of the American Mathematical Society, 11 (6): 905–917, doi:10.2307/2034435, JSTOR 2034435, MR 0117173.
Bixby, Robert E.; Cunningham, William H. (1980), "Converting linear programs to network problems", Mathematics of Operations Research, 5 (3): 321–357, doi:10.1287/moor.5.3.321, MR 0594849.
Seymour, P. D. (1981), "Recognizing graphic matroids", Combinatorica, 1 (1): 75–78, doi:10.1007/BF02579179, MR 0602418, S2CID 35579707.
Welsh, D. J. A. (1969), "Euler and bipartite matroids", Journal of Combinatorial Theory, 6 (4): 375–377, doi:10.1016/s0021-9800(69)80033-5, MR 0237368.
Whiteley, Walter (1996), "Some matroids from discrete applied geometry", Matroid theory (Seattle, WA, 1995), Contemporary Mathematics, vol. 197, Providence, RI: American Mathematical Society, pp. 171–311, doi:10.1090/conm/197/02540, ISBN 978-0-8218-0508-4, MR 1411692.

books.google.com

Birkhoff, Garrett (1995), Lattice Theory, Colloquium Publications, vol. 25 (3rd ed.), American Mathematical Society, p. 95, ISBN 9780821810255.

doi.org

Tutte, W. T. (1965), "Lectures on matroids" (PDF), Journal of Research of the National Bureau of Standards, 69B: 1–47, doi:10.6028/jres.069b.001, MR 0179781. See in particular section 2.5, "Bond-matroid of a graph", pp. 5–6, section 5.6, "Graphic and co-graphic matroids", pp. 19–20, and section 9, "Graphic matroids", pp. 38–47.
Seymour, P. D. (1980), "On Tutte's characterization of graphic matroids", Annals of Discrete Mathematics, 8: 83–90, doi:10.1016/S0167-5060(08)70855-0, ISBN 9780444861108, MR 0597159.
Gerards, A. M. H. (1995), "On Tutte's characterization of graphic matroids—a graphic proof", Journal of Graph Theory, 20 (3): 351–359, doi:10.1002/jgt.3190200311, MR 1355434, S2CID 31334681.
Tutte, W. T. (1958), "A homotopy theorem for matroids. I, II", Transactions of the American Mathematical Society, 88 (1): 144–174, doi:10.2307/1993244, JSTOR 1993244, MR 0101526.
Karger, David R.; Klein, Philip N.; Tarjan, Robert E. (1995), "A randomized linear-time algorithm to find minimum spanning trees", Journal of the Association for Computing Machinery, 42 (2): 321–328, doi:10.1145/201019.201022, MR 1409738
Fredman, M. L.; Willard, D. E. (1994), "Trans-dichotomous algorithms for minimum spanning trees and shortest paths", Journal of Computer and System Sciences, 48 (3): 533–551, doi:10.1016/S0022-0000(05)80064-9, MR 1279413.
Chazelle, Bernard (2000), "A minimum spanning tree algorithm with inverse-Ackermann type complexity", Journal of the Association for Computing Machinery, 47 (6): 1028–1047, doi:10.1145/355541.355562, MR 1866456, S2CID 6276962.
Tutte, W. T. (1960), "An algorithm for determining whether a given binary matroid is graphic.", Proceedings of the American Mathematical Society, 11 (6): 905–917, doi:10.2307/2034435, JSTOR 2034435, MR 0117173.
Bixby, Robert E.; Cunningham, William H. (1980), "Converting linear programs to network problems", Mathematics of Operations Research, 5 (3): 321–357, doi:10.1287/moor.5.3.321, MR 0594849.
Seymour, P. D. (1981), "Recognizing graphic matroids", Combinatorica, 1 (1): 75–78, doi:10.1007/BF02579179, MR 0602418, S2CID 35579707.
Welsh, D. J. A. (1969), "Euler and bipartite matroids", Journal of Combinatorial Theory, 6 (4): 375–377, doi:10.1016/s0021-9800(69)80033-5, MR 0237368.
Whiteley, Walter (1996), "Some matroids from discrete applied geometry", Matroid theory (Seattle, WA, 1995), Contemporary Mathematics, vol. 197, Providence, RI: American Mathematical Society, pp. 171–311, doi:10.1090/conm/197/02540, ISBN 978-0-8218-0508-4, MR 1411692.

jstor.org

Tutte, W. T. (1958), "A homotopy theorem for matroids. I, II", Transactions of the American Mathematical Society, 88 (1): 144–174, doi:10.2307/1993244, JSTOR 1993244, MR 0101526.
Tutte, W. T. (1960), "An algorithm for determining whether a given binary matroid is graphic.", Proceedings of the American Mathematical Society, 11 (6): 905–917, doi:10.2307/2034435, JSTOR 2034435, MR 0117173.

nist.gov

nvlpubs.nist.gov

Tutte, W. T. (1965), "Lectures on matroids" (PDF), Journal of Research of the National Bureau of Standards, 69B: 1–47, doi:10.6028/jres.069b.001, MR 0179781. See in particular section 2.5, "Bond-matroid of a graph", pp. 5–6, section 5.6, "Graphic and co-graphic matroids", pp. 19–20, and section 9, "Graphic matroids", pp. 38–47.

semanticscholar.org

api.semanticscholar.org

Gerards, A. M. H. (1995), "On Tutte's characterization of graphic matroids—a graphic proof", Journal of Graph Theory, 20 (3): 351–359, doi:10.1002/jgt.3190200311, MR 1355434, S2CID 31334681.
Chazelle, Bernard (2000), "A minimum spanning tree algorithm with inverse-Ackermann type complexity", Journal of the Association for Computing Machinery, 47 (6): 1028–1047, doi:10.1145/355541.355562, MR 1866456, S2CID 6276962.
Seymour, P. D. (1981), "Recognizing graphic matroids", Combinatorica, 1 (1): 75–78, doi:10.1007/BF02579179, MR 0602418, S2CID 35579707.