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Algorithms on Trees and Graphs

With Python Code

  • Textbook
  • © 2021

Overview

  • Algorithms are first presented on an intuitive basis, followed by a detailed exposition using structured pseudocode
  • Correctness proofs are given, together with a worst-case analysis of the algorithms
  • An extensive chapter is devoted to the algorithmic techniques used in the book

Part of the book series: Texts in Computer Science (TCS)

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Table of contents (7 chapters)

  1. Introduction

  2. Algorithms on Trees

  3. Algorithms on Graphs

Keywords

About this book

This textbook introduces graph algorithms on an intuitive basis followed by a detailed exposition using structured pseudocode, with correctness proofs as well as worst-case analyses. Graph algorithms is a well-established subject in mathematics and computer science. Beyond classical application fields, like approximation, combinatorial optimization, graphics, and operations research, graph algorithms have recently attracted increased attention from computational biology, bioinformatics, and computational chemistry. Centered around the fundamental issue of graph isomorphism, this book goes beyond classical graph problems of shortest paths, spanning trees, flows in networks, and matchings in bipartite graphs. Advanced algorithmic results and techniques of practical relevance are presented in a coherent and consolidated way. Furthermore, Python code for all algorithms presented is given in a appendix. Numerous illustrations, examples, problems, exercises, and a comprehensive bibliography support students and professionals in using the book as a text and source of reference.

Authors and Affiliations

  • Department of Computer Science, Technical University of Catalonia, Barcelona, Spain

    Gabriel Valiente

About the author

Gabriel Valiente, PhD, is an accredited Full Professor at the Department of Computer Science and a member of the Algorithms, Bioinformatics, Complexity and Formal Methods Research Group of the Technical University of Catalonia in Barcelona, Spain. He has been lecturing on Data Structures and Algorithms at the undergraduate level and Advanced Graph Algorithms at the graduate level over the last several years. His current research is centered on combinatorial algorithms on graphs and, in particular, algorithms for comparing trees and graphs, with emphasis on algorithms in computational biology and bioinformatics.

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