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## LINEAR AND COMBINATORIAL OPTIMIZATION

by: Kennith Herman

6

0

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# LINEAR AND COMBINATORIAL OPTIMIZATION MA 515

Marketplace > University of Kentucky > Mathematics (M) > MA 515 > LINEAR AND COMBINATORIAL OPTIMIZATION
Kennith Herman
UK
GPA 3.54

C. Lee

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COURSE
PROF.
C. Lee
TYPE
Class Notes
PAGES
1
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 1 page Class Notes was uploaded by Kennith Herman on Friday October 23, 2015. The Class Notes belongs to MA 515 at University of Kentucky taught by C. Lee in Fall. Since its upload, it has received 6 views. For similar materials see /class/228140/ma-515-university-of-kentucky in Mathematics (M) at University of Kentucky.

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Date Created: 10/23/15
MA 515 Fall 2008 7 Final Exam Review Sheet The nal exam will take place from 1PM 3PM on Monday Dec 15th in CB 347 You are not allowed to use your notes or the book You are responsible for all the material we have discussed during the semester In addition to knowing how to solve problems related to the material in the course you need to know how to prove the following theorems o V polytopes are H polytopes o H polytopes are V polytopes o The main Theorem of the Alternatives Thm 42 in Carl Lee s notes 0 The Strong Duality Theorem for linear programs 0 Konig s theorem knowing proofs using both the techniques of basic LP Duality and matroid intersection duality1 o Hall s Theorem 0 Greedy optimality for matroids o Greedy Characterization of matroids 0 Rank Characterization of Matroids assuming the Closure Lemma 0 Correctness of Dijkstra s Algorithm 0 Correctness of Maximum Cardinality Matroid Intersection Algorithm 0 Matroid Intersection Duality Theorem 0 Berge s Theorem Also be able to describe the course articulately for example answering questions like 0 What are the major themes of this area of mathematics 0 What are the major objects for example matroids polytopes etc o What are the major theorems Why are these important 0 What are the major optimization problems Why are these important 0 What are the major max min results Why are these important 0 What are the major matroids Why are these important 0 What are the major polytopes Why are these important 0 What are the major algorithms Why are these important 1If you are taking the prelim also learn how to prove this using the Problem regarding Edmond s Maximum Cardinality Matching Algorithm on page 117 in J Lee s book

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