Abstract
This chapter recapitulates the mathematical preliminaries needed in the subsequent arguments. In particular, brief mention is made of the relevant concepts in algebra, graph theory and matroid theory. Emphasis is laid on the algebraic independence, the Dulmage-Mendelsohn decomposition of bipartite graphs with reference to matchings, and the decomposition principle of submodular functions. Some observations which are not explicit in the literature are also made.
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© 1987 Springer-Verlag Berlin Heidelberg
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Murota, K. (1987). Preliminaries. In: Systems Analysis by Graphs and Matroids. Algorithms and Combinatorics, vol 3. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61586-3_2
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DOI: https://doi.org/10.1007/978-3-642-61586-3_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-17659-6
Online ISBN: 978-3-642-61586-3
eBook Packages: Springer Book Archive