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https://doi.org/10.1007/978-94-6209-995-1tronger than Sperner’s result. It has many applications and yields representations of integers in terms of .. There are ., many of which can be proved using Daykin’s algorithm, but the proofs of others are based on manipulation of binomial coefficients..I will describe some applications of the above

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https://doi.org/10.1007/978-3-322-94252-4ional theory of measurement. This paper presents an introduction to this theory, with an emphasis on those topics relating to the uniqueness of scales of measurement and with an attempt also to emphasize topics relevant to issues in graph theory or the theory of order relations.

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https://doi.org/10.1007/978-94-015-2514-5n (very roughly, but good enough for almost all purposes) that there is an effective algorithm which will allow us to compute in finitely many steps whether or not a given. is in ., and also for given . to determine whether or not there is an edge in . joining them. For example, if . is finite, then

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Algorithmic Aspects of Comparability Graphs and Interval Graphscomparability graphs..The second part deals with the related class of interval graphs, which are exactly the incomparability graphs of interval orders. Again, we represent algorithmic methods for interval graph recognition and for solving combinatorial optimization problems on these graphs..We then

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