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Optimization Problems in Graph Theory

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

  • Boris Goldengorin

Part of the Springer Optimization and Its Applications book series (SOIA, volume 139)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Diogo V. Andrade, Endre Boros, Vladimir Gurvich
    Pages 3-63
  3. Samin Aref, Andrew J. Mason, Mark C. Wilson
    Pages 65-84
  4. Victoria Goncharenko, Yuri Goncharenko, Sergey Lyashko, Vladimir Semenov
    Pages 85-91
  5. Daniel Berend, Steven S. Skiena, Yochai Twitto
    Pages 107-122
  6. H. A. Kierstead, A. V. Kostochka, T. Molla, D. Yager
    Pages 149-168
  7. Firdovsi Sharifov, Hakan Kutucu
    Pages 265-292

About this book

Introduction

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

Keywords

Directed Graphs Combinatorial Optimization approximation algorithms Data Analytics Transportation industries computational complexity analysis graph optimization heuristic methods network design problem disjoint cycles in graphs Traveling Salesman Problem Decision Making Problems

Editors and affiliations

  • Boris Goldengorin
    • 1
  1. 1.Department of Information Systems and Decision ScienceMerrick School of Business, University of BaltimoreBaltimoreUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-94830-0
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-94829-4
  • Online ISBN 978-3-319-94830-0
  • Series Print ISSN 1931-6828
  • Series Online ISSN 1931-6836
  • Buy this book on publisher's site