Rainbow Connections of Graphs

  • Xueliang Li
  • Yuefang Sun

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Xueliang Li, Yuefang Sun
    Pages 1-13
  3. Xueliang Li, Yuefang Sun
    Pages 15-23
  4. Xueliang Li, Yuefang Sun
    Pages 25-55
  5. Xueliang Li, Yuefang Sun
    Pages 57-63
  6. Xueliang Li, Yuefang Sun
    Pages 65-72
  7. Xueliang Li, Yuefang Sun
    Pages 73-76
  8. Xueliang Li, Yuefang Sun
    Pages 77-88
  9. Xueliang Li, Yuefang Sun
    Pages 89-96
  10. Back Matter
    Pages 97-103

About this book

Introduction

Rainbow connections are natural combinatorial measures that are used in applications to secure the transfer of classified information between agencies in communication networks. Rainbow Connections of Graphs covers this new and emerging topic in graph theory and brings together a majority of the results that deal with the concept of rainbow connections, first introduced by Chartrand et al. in 2006.

The authors begin with an introduction to rainbow connectedness, rainbow coloring, and  rainbow connection number. The work is organized into the following categories, computation of the exact values of the rainbow connection numbers for some special graphs, algorithms and complexity analysis, upper bounds in terms of other graph parameters, rainbow connection for dense and sparse graphs, for some graph classes and graph products, rainbow k-connectivity and k-rainbow index, and, rainbow vertex-connection number.

Rainbow Connections of Graphs appeals to researchers and graduate students in the field of graph theory. Conjectures, open problems and questions are given throughout the text with the  hope for motivating young graph theorists and graduate students to do further study in this subject.


Keywords

Coloring Connectivity Rainbow coloring Rainbow connection Rainbow connection number computational complexity

Authors and affiliations

  • Xueliang Li
    • 1
  • Yuefang Sun
    • 2
  1. 1.Center for Combinatorics (CFC)Nankai UniversityTianjinChina, People's Republic
  2. 2., Center for CombinatoricsNankai UniversityTianjinChina, People's Republic

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-3119-0
  • Copyright Information Xueliang Li, Yuefang Sun 2012
  • Publisher Name Springer, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-3118-3
  • Online ISBN 978-1-4614-3119-0
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • About this book