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Springer Optimization and Its Applications

Optimization Problems in Graph Theory

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

Editors: Goldengorin, Boris (Ed.)

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  • Presents open optimization problems in graph theory and networks
  • Features advanced methods and techniques in combinatorial optimization and directed graphs
  • Highlights applications to design efficient algorithms
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  • ISBN 978-3-319-94830-0
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About this book

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

Table of contents (13 chapters)

Table of contents (13 chapters)
  • Gregory Gutin and Graph Optimization Problems

    Pages 1-2

    Alon, Noga

  • On Graphs Whose Maximal Cliques and Stable Sets Intersect

    Pages 3-63

    Andrade, Diogo V. (et al.)

  • Computing the Line Index of Balance Using Integer Programming Optimisation

    Pages 65-84

    Aref, Samin (et al.)

  • Optimal Factorization of Operators by Operators That Are Consistent with the Graph’s Structure

    Pages 85-91

    Goncharenko, Victoria (et al.)

  • Branching in Digraphs with Many and Few Leaves: Structural and Algorithmic Results

    Pages 93-106

    Bang-Jensen, Jørgen (et al.)

Buy this book

eBook $89.00
price for USA in USD
  • ISBN 978-3-319-94830-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA in USD
Softcover $119.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Optimization Problems in Graph Theory
Book Subtitle
In Honor of Gregory Z. Gutin's 60th Birthday
Editors
  • Boris Goldengorin
Series Title
Springer Optimization and Its Applications
Series Volume
139
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-94830-0
DOI
10.1007/978-3-319-94830-0
Hardcover ISBN
978-3-319-94829-4
Softcover ISBN
978-3-030-06921-6
Series ISSN
1931-6828
Edition Number
1
Number of Pages
XVIII, 331
Number of Illustrations
65 b/w illustrations, 22 illustrations in colour
Topics

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