Note on a matroid with parity condition
Using the matroid parity problem a generalization of \textit{T. Gallai}'s identity [Über extreme Punkt- und Kantenmengen, Ann. Univ. Sci. Budapest Rolando Eötvös, Sect. Math. 2, 133-138 (1959; Zbl 0094.361)] is obtained. This relation was also observed as Proposition 1.7 in \textit{L. Lovász} [``The matroid matching problem'', Algebraic methods in graph theory, Vol. II, Conf. Szeged 1978, Colloq. Math. János Bolyai 25, 495-517 (1981; Zbl 0478.05027)].
scientific article; zbMATH DE number 4123748
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