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Graphs and Discovery
Edited by: Siemion Fajtlowicz, University of Houston, TX, Patrick W. Fowler, University of Sheffield, UK, Pierre Hansen, HEC Montréal, Quebec, Canada, and Melvin F. Janowitz and Fred S. Roberts, Rutgers University, Piscataway, NJ
A co-publication of the AMS and DIMACS.

DIMACS: Series in Discrete Mathematics and Theoretical Computer Science
2005; 370 pp; hardcover
Volume: 69
ISBN-10: 0-8218-3761-3
ISBN-13: 978-0-8218-3761-0
List Price: US$126
Member Price: US$100.80
Order Code: DIMACS/69
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This volume presents topics addressed at the working group meeting and workshop on Computer-generated Conjectures from Graph Theoretic and Chemical Databases held at Rutgers University (Piscataway, NJ). The events brought together theoreticians and practitioners working in graph theory and chemistry to share ideas and to set an agenda for future developments in the use of computers for generating scientific conjectures.

Articles included in the volume were written by developers of some of the most important programs used around the world today. The disciplines represented include theoretical and applied computer science, statistics, discrete and non-discrete mathematics, chemistry, and information science.

The book is suitable for researchers and students interested in the use of computers in graph theory.

Co-published with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1-7 were co-published with the Association for Computer Machinery (ACM).


Graduate students and research mathematicians interested in using computers in graph theory.

Table of Contents

  • J. W. Berry -- Considerations for future designers of general purpose graph software
  • E. Breimer, M. Goldberg, D. Hollinger, and D. Lim -- Discovering optimization algorithms through automated learning
  • G. Brinkmann, O. Delgado-Friedrichs, and U. von Nathusius -- Numbers of faces and boundary encodings of patches
  • D. Cvetković and S. Simić -- Graph theoretical results obtained by the support of the expert system "graph"-An extended survey
  • E. DeLaVina -- Graffiti.pc: A variant of graffiti
  • E. DeLaVina -- Some history of the development of graffiti
  • E. DeLaVina, S. Fajtlowicz, and W. Waller -- On some conjectures of Griggs and graffiti
  • S. Fajtlowicz -- On the representation and characterization of fullerene C\(_{60}\)
  • J. E. Graver -- The structure of fullerene signatures
  • J. E. Graver -- Catalog of all fullerenes with ten or more symmetries
  • P. Hansen -- How far is, should and could be conjecture-making in graph theory an automated process?
  • P. Hansen, M. Aouchiche, G. Caporossi, H. Mélot, and D. Stevanović -- What forms do interesting conjectures have in graph theory?
  • P. Hansen and H. Mélot -- Variable neighborhood search for extremal graphs. 9. Bounding the irregularity of a graph
  • S. M. Husband, C. P. Husband, N. Dean, and J. M. Tour -- Mathematics for the nanocell approach to molecular electronics
  • R. J. Kingan and S. R. Kingan -- A software system for matroids
  • C. E. Larson -- A survey of research in automated mathematical conjecture-making
  • R. Laue, T. Grüner, M. Meringer, and A. Kerber -- Constrained generation of molecular graphs
  • W. Myrvold, T. Prsa, and N. Walker -- A dynamic programming approach for timing and designing clique algorithms
  • R. D. Pepper -- On new didactics of mathematics: Learning graph theory via graffiti
  • T. Pisanski, M. Boben, and A. Žitnik -- Interactive conjecturing with Vega
  • D. Stevanović and G. Caporossi -- On the \((1,2)\)-spectral spread of fullerenes
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