Degeneracy Graphs and Simplex Cycling : Springer : 9783540545934 : 354054593X : 13 Nov 1991 : Many problems in economics can be formulated as linearlyconstrained mathematical optimization problems, where thefeasible solution set X represents a convex polyhedral set.In practice, the set X frequently contains degenerate verti-ces, yielding diverse problems in the determination of anoptimal solution as well as in postoptimal analysis.The so-called degeneracy graphs represent a useful tool for des-cribing and solving degeneracy problems. The study of dege-neracy graphs opens a new field of research with many theo-retical aspects and practical applications. The present pu-blication pursues two aims. On the one hand the theory ofdegeneracy graphs is developed generally, which will serveas a basis for further applications. On the other hand dege-neracy graphs will be used to explain simplex cycling, i.e.necessa