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The Tutte polynomial. (English) Zbl 0197.50202

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topology
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References:
[1] Birkhoff, G.,Abstract Linear Dependence and Lattices, Amer. J. Math.57, 800–804 (1935). · JFM 61.1027.01 · doi:10.2307/2371015
[2] Birkhoff, G. D.,A Determinant Formula for the Number of Ways of Coloring a Map, Annals of Math.14, 42–46 (1912). · JFM 43.0574.02 · doi:10.2307/1967597
[3] Crapo, H. H.,Single-Element Extensions of Matroids, J. of Res., Nat. Bur. of Standards, U.S.A.,69B, 55–65 (1965). · Zbl 0141.21701
[4] Crapo, H. H.,Möbius Inversion in Lattices, Archiv der Math.19, 595–607 (1968). · Zbl 0208.29303 · doi:10.1007/BF01899388
[5] Crapo, H. H. andRota, G.-C.,On the Foundations of Combinatorial Theory: Combinatorial Geometries (M.I.T. Press, Cambridge 1970). · Zbl 0216.02101
[6] MacLane, S.,Some Interpretations of Abstract Linear Dependence in Terms of Projective Geometry, Amer. J. Math.58, 236–240 (1936). · Zbl 0013.19503 · doi:10.2307/2371070
[7] MacLane, S.,A Lattice Formulation of Transcendence Degrees and p-Bases, Duke J. Math.4, 455–468 (1938). · Zbl 0019.39201 · doi:10.1215/S0012-7094-38-00438-7
[8] Minty, G.,On the Axiomatic Foundations of Directed Linear Graphs, Electrical Networks, and Network-Programming, J. Math. and Mech.15, 485–520 (1966). · Zbl 0141.21601
[9] Rota, G.-C.,On the Foundations of Combinatorial Theory, I:Theory of Möbius Functions, Zeits. für Wahrschein.2, 340–368 (1964). · Zbl 0121.02406 · doi:10.1007/BF00531932
[10] Steinitz, E. Algebraische Theorie der Körper (Chelsea, New York 1950).
[11] Tutte, W. T.,A Ring in Graph Theory, Proc. Camb. Phil. Soc.43, 26–40 (1947). · Zbl 0031.41803 · doi:10.1017/S0305004100023173
[12] Tutte, W. T.,A Contribution to the Theory of Chromatic Polynomials, Canad. J. Math.6, 80–91 (1954). · Zbl 0055.17101 · doi:10.4153/CJM-1954-010-9
[13] Tutte, W. T.,Lectures on Matroids, J. Res. Nat. Bur. of Standards, U.S.A.69B, 1–47 (1965). · Zbl 0151.33801
[14] Tutte, W. T.,On Dichromatic Polynomials, J. Combinatorial Theory2, 301–320 (1967). · Zbl 0147.42902 · doi:10.1016/S0021-9800(67)80032-2
[15] Whitney, H.,The Coloring of Graphs, Annals of Math.33, 688–718 (1932). · JFM 58.0606.01 · doi:10.2307/1968214
[16] Whitney, H.,A Logical Expansion in Mathematics, Bull. A.M.S.38, 572–579 (1932). · JFM 58.0605.08 · doi:10.1090/S0002-9904-1932-05460-X
[17] Whitney, H.,The Abstract Properties of Linear Dependence, Amer. J. Math.57, 507–533 (1935). · Zbl 0012.00404 · doi:10.2307/2371182
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