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Lattice Paths and Determinants

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2122))

Abstract

The essence of mathematics is proving theorems — and so, that is what mathematicians do: they prove theorems. But to tell the truth, what they really want to prove once in their lifetime, is a Lemma, like the one by Fatou in analysis, the Lemma of Gauss in number theory, or the Burnside-Frobenius Lemma in combinatorics.

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References

  1. I. M. Gessel, G. Viennot: Binomial determinants, paths, and hook length formulae. Advances in Math. 58 (1985), 300–321.

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  2. B. Lindström: On the vector representation of induced matroids. Bull. London Math. Soc. 5 (1973), 85–90.

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  3. P. A. Mac Mahon: Combinatory Analysis, Vol. 2. Chelsea 1960.

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  4. R. P. Stanley: Enumerative Combinatorics, Vol. 2. Cambridge Univ. Press 1999.

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© 2001 Springer-Verlag Berlin Heidelberg

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Aigner, M. (2001). Lattice Paths and Determinants. In: Alt, H. (eds) Computational Discrete Mathematics. Lecture Notes in Computer Science, vol 2122. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45506-X_1

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  • DOI: https://doi.org/10.1007/3-540-45506-X_1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42775-9

  • Online ISBN: 978-3-540-45506-6

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