Optimization Problems in Graph Theory

In Honor of Gregory Z. Gutin's 60th Birthday

Nonfiction, Science & Nature, Mathematics, Applied, Business & Finance, Management & Leadership, Production & Operations Management
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Author: ISBN: 9783319948300
Publisher: Springer International Publishing Publication: September 27, 2018
Imprint: Springer Language: English
Author:
ISBN: 9783319948300
Publisher: Springer International Publishing
Publication: September 27, 2018
Imprint: Springer
Language: English

This book presents open optimization problems in graph theory and networks. Each chapter reflects developments in theory and applications based on Gregory Gutin’s fundamental contributions to advanced methods and techniques in combinatorial optimization. 

Researchers, students, and engineers in computer science, big data, applied mathematics, operations research, algorithm design, artificial intelligence, software engineering, data analysis, industrial and systems engineering will benefit from the state-of-the-art results presented in modern graph theory and its applications to the design of efficient algorithms for optimization problems. 

Topics covered in this work include:

·         Algorithmic aspects of problems with disjoint cycles in graphs

·         Graphs where maximal cliques and stable sets intersect

·         The maximum independent set problem with special classes

·         A general technique for heuristic algorithms for optimization problems

·         The network design problem with cut constraints

·         Algorithms for computing the frustration index of a signed graph

·         A heuristic approach for studying the patrol problem on a graph

·         Minimum possible sum and product of the proper connection number

·         Structural and algorithmic results on branchings in digraphs

·         Improved upper bounds for Korkel--Ghosh benchmark SPLP instances

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book presents open optimization problems in graph theory and networks. Each chapter reflects developments in theory and applications based on Gregory Gutin’s fundamental contributions to advanced methods and techniques in combinatorial optimization. 

Researchers, students, and engineers in computer science, big data, applied mathematics, operations research, algorithm design, artificial intelligence, software engineering, data analysis, industrial and systems engineering will benefit from the state-of-the-art results presented in modern graph theory and its applications to the design of efficient algorithms for optimization problems. 

Topics covered in this work include:

·         Algorithmic aspects of problems with disjoint cycles in graphs

·         Graphs where maximal cliques and stable sets intersect

·         The maximum independent set problem with special classes

·         A general technique for heuristic algorithms for optimization problems

·         The network design problem with cut constraints

·         Algorithms for computing the frustration index of a signed graph

·         A heuristic approach for studying the patrol problem on a graph

·         Minimum possible sum and product of the proper connection number

·         Structural and algorithmic results on branchings in digraphs

·         Improved upper bounds for Korkel--Ghosh benchmark SPLP instances

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