Graphs and Algorithms: Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference Held June 28-July 4, 1987 with Support from the National Science Foundation

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American Mathematical Soc., 1989 - Mathematics - 197 pages
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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.
 

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Contents

A survey of applications
1
On genusreducing and planarizing algorithms for embedded graphs
19
Interval hypergraphs
27
Competitive algorithms for online problems
45
On recognizability of planar graphs
55
Combinatorial computation of moduli dimension of Nielsen classes of covers
61
Labeled trees and the algebra of differential operators
81
Computing edgetoughness and fractional arboricity
89
Directed graphs and the compaction of IC designs
107
Parallelism preprocessing and reachability
129
A summary of results on pairconnected reliability
145
On minimum cuts of cycles and maximum disjoint cycles
153
Graphs and finitely presented groups
167
Problem corner
187
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