The Euler circuit theorem for binary matroids. (English) Zbl 0321.05026


05B35 Combinatorial aspects of matroids and geometric lattices
05C35 Extremal problems in graph theory
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[1] Edmonds, J., Submodular functions, matroids and certain polyhedra, (“Combinatorial Structures and Applications,” Proc. Calgary Internat. Conf.. “Combinatorial Structures and Applications,” Proc. Calgary Internat. Conf., 1969 (1970), Gordon and Breach: Gordon and Breach New York), 69-87 · Zbl 0268.05019
[2] Nash-Williams, C. St. J.A, An application of matroids to graph theory, (“Theory of Graphs,” International Symposium. “Theory of Graphs,” International Symposium, Rome, July, 1966 (1967), Dunod: Dunod Paris), 263-265 · Zbl 0188.55903
[3] Welsh, D. J.A, Euler and bipartite matroids, J. Combinatorial Theory, 4, 375-377 (1969) · Zbl 0169.01901
[4] Tutte, W. T., Lectures on matroids, J. Res. Nat. Bur. Standards, 69B1, 1-47 (1965) · Zbl 0151.33801
[5] Minty, G. J., On the axiomatic foundations of the theories of directed linear graphs, electrical networks and network-programming, J. Math. Mech., 15, 485-520 (1966) · Zbl 0141.21601
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