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Graphs and Algorithms
Edited by: R. Bruce Richter

Contemporary Mathematics
1989; 197 pp; softcover
Volume: 89
Reprint/Revision History:
reprinted 1991
ISBN-10: 0-8218-5095-4
ISBN-13: 978-0-8218-5095-4
List Price: US$40
Member Price: US$32
Order Code: CONM/89
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This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Graphs and Algorithms, held in 1987 at the University of Colorado in Boulder. The purpose of the conference was to foster communication between computer scientists and mathematicians, for recent work in graph theory and related algorithms has relied on increasingly sophisticated mathematics. Wagner's Conjecture, self-adjusting data structures, graph isomorphism, and various embedding and labelling problems in VLSI are examples of the kinds of questions now facing the field. With around 65 participants, the conference brought out the depth and diversity of current research in this area. The wide range of topics covered in this volume demonstrates the vitality of the activity in both mathematics and computer science and captures the diversity and excitement of the conference.

Table of Contents

  • M. R. Fellows -- The Robertson-Seymour theorems: A survey of applications
  • J. P. Hutchinson -- On genus-reducing and planarizing algorithms for embedded graphs
  • A. L. Rosenberg -- Interval hypergraphs
  • M. S. Manasse, L. A. McGeoch, and D. D. Sleator -- Competitive algorithms for on-line problems
  • L. I. Basenspiler -- On recognizability of planar graphs
  • M. Fried -- Combinatorial computation of moduli dimension of Nielsen classes of covers
  • R. Grossman and R. G. Larson -- Labeled trees and the algebra of differential operators
  • A. M. Hobbs -- Computing edge-toughness and fractional arboricity
  • B. W. Jackson -- Directed graphs and the compaction of IC designs
  • P. N. Klein -- Parallelism, preprocessing, and reachability
  • P. J. Slater -- A summary of results on pair-connected reliability
  • J. L. Szwarcfiter -- On minimum cuts of cycles and maximum disjoint cycles
  • A. Vince -- Graphs and finitely presented groups
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