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# ðŸ“™ Degeneracy graphs and simplex cycling by Peter ZÃ¶rnig â€” pdf free

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**Degeneracy Graphs and Simplex Cycling download pdf by Peter ZÃ¶rnig (auth.)**

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Many problems in economics can be formulated as linearly constrained mathematical optimization problems, where the feasible 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 an optimal 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 of degeneracy graphs is developed generally, which will serve as a basis for further applications. On the other hand dege- neracy graphs will be used to explain simplex cycling, i.e. necessary and sufficient conditions for cycling will be de- rived

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- Series:
**Lecture Notes in Economics and Mathematical Systems 357** - Author:
**Peter ZÃ¶rnig** - Year:
**1991** - Publisher:
**Springer** - Language:
**English** - ISBN:
**354054593X,978-3-540-54593-4,978-3-642-45702-9,456-134-356-3,160-0-15475-1,3-540-51571-2,3-540-51454-6,3-540-50811-2,3-540-51440-6**

- DPI:
**600** - File size:
**2 510 927** - Format:
**djvu**

Security code:

Many problems in economics can be formulated as linearly constrained mathematical optimization problems, where the feasible solution set X represents a convex polyhedral set. In practice, the set X frequently contains degenerate verti- ces, yielding diver...

A few years ago nobody would have anticipated that in connection with degeneracy in Linear Programming quite a new field. could originate. In 1976 a very simple question has been posed: in the case an extremeÂ pOint (EP) of a polytope is degenerate and th...

This book constitutes the strictly refereed post-workshop proceedings of the 23rd International Workshop on Graph-Theoretic Concepts in Computer Science, WG'97, held in Berlin, Germany in June 1997.The volume presents 28 revised full papers carefully sele...

This book constitutes the thoroughly refereed post-conference proceedings of the Kyoto Conference on Computational Geometry and Graph Theory, KyotoCGGT 2007, held in Kyoto, Japan, in June 2007, in honor of Jin Akiyama and VaÅ¡ek ChvÃ¡tal, on the occasion of...

This book is focused on pancyclic and bipancyclic graphs and is geared toward researchers and graduate students in graph theory. Readers should be familiar with the basic concepts of graph theory, the definitions of a graph and of a cycle. Pancyclic graph...

The idea for this book grew out of the successful workshop ''Cycles in Graphs 1982'' held at Simon Fraser University 5 July - 20 August 1982.The primary purpose of the workshop was to gather the world's leading experts on cycles in graphs and have them di...

This volume deals with a variety of problems involving cycles in graphs and circuits in digraphs. Leading researchers in this area present here 3 survey papers and 42 papers containing new results. There is also a collection of unsolved problems...

Focuses on classical problems in graph theory, including the 5-flow conjectures, the edge-3-colouring conjecture, the 3-flow conjecture and the cycle double cover conjecture. The text highlights the interrelationships between graph colouring, integer flow...

Because of its portability and platform-independence, Java is the ideal computer programming language to use when working on graph algorithms and other mathematical programming problems. Collecting some of the most popular graph algorithms and optimizatio...