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Graph Separators, with Applications

  • Arnold L. Rosenberg
  • Lenwood S. Heath

Part of the Frontiers of Computer Science book series (FCOS)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Pages 99-158
  3. Pages 159-225
  4. Back Matter
    Pages 227-257

About this book

Introduction

Graph Separators with Applications is devoted to techniques for obtaining upper and lower bounds on the sizes of graph separators - upper bounds being obtained via decomposition algorithms. The book surveys the main approaches to obtaining good graph separations, while the main focus of the book is on techniques for deriving lower bounds on the sizes of graph separators. This asymmetry in focus reflects our perception that the work on upper bounds, or algorithms, for graph separation is much better represented in the standard theory literature than is the work on lower bounds, which we perceive as being much more scattered throughout the literature on application areas. Given the multitude of notions of graph separator that have been developed and studied over the past (roughly) three decades, there is a need for a central, theory-oriented repository for the mass of results. The need is absolutely critical in the area of lower-bound techniques for graph separators, since these techniques have virtually never appeared in articles having the word `separator' or any of its near-synonyms in the title. Graph Separators with Applications fills this need.

Keywords

Area DEX algorithms graph perception symmetry techniques

Authors and affiliations

  • Arnold L. Rosenberg
    • 1
  • Lenwood S. Heath
    • 2
  1. 1.University of MassachusettsAmherst
  2. 2.Virginia Polytechnic InstituteBlacksburg

Bibliographic information