Titlebook: Relations and Graphs; Discrete Mathematics Gunther Schmidt,Thomas Ströhlein Book 1993 Springer-Verlag Berlin Heidelberg 1993 Programmierspr

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1431-2654 erse range ofproblem areas. Results are first motivated by practicalexamples, often visualized by both Boolean 0-1-matrices andgraphs, and then derived algebraically.978-3-642-77970-1978-3-642-77968-8Series ISSN 1431-2654 Series E-ISSN 2193-2069

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Book 1993heory, analysisof rewriting systems, and modern programminglanguagedesign. In addition, they appear in algorithms analysis andin the bulk of discrete mathematics taught to computerscientists.Thisbook is devoted to the background of these methods. Itexplains how to userelational and graph-theoretic m

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Homogeneous Relations,osition of relations which are treated in Sects. 2.2 and 2.3. There we make the transition from the algebra of sets to the algebra of relations. Section 2.4 contains a number of new concepts concerning subsets, points, and orderings which are taken up again in the appendix.

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Kernels and Games,n the first part of Sect. 6.3; its lattice-theoretic nature will be clarified in Appendix A.3. In Sect. 8.3 the results on kernels will be applied to game theory, in particular to nim-type games and to chess endings.

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