Graph Theory, Combinatorics and Algorithms: Interdisciplinary Applications

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Martin Charles Golumbic, Irith Ben-Arroyo Hartman
Springer Science & Business Media, Mar 30, 2006 - Mathematics - 292 pages

Graph Theory, Combinatorics and Algorithms: Interdisciplinary Applications focuses on discrete mathematics and combinatorial algorithms interacting with real world problems in computer science, operations research, applied mathematics and engineering. The book contains eleven chapters written by experts in their respective fields, and covers a wide spectrum of high-interest problems across these discipline domains. Among the contributing authors are Richard Karp of UC Berkeley and Robert Tarjan of Princeton; both are at the pinnacle of research scholarship in Graph Theory and Combinatorics. The chapters from the contributing authors focus on "real world" applications, all of which will be of considerable interest across the areas of Operations Research, Computer Science, Applied Mathematics, and Engineering. These problems include Internet congestion control, high-speed communication networks, multi-object auctions, resource allocation, software testing, data structures, etc. In sum, this is a book focused on major, contemporary problems, written by the top research scholars in the field, using cutting-edge mathematical and computational techniques.

 

Contents

Problems in Data Structures and Algorithms
17
Algorithmic Graph Theory and its Applications
40
Decompositions and Forcing Relations in Graphs and Other
63
The Local Ratio Technique and its Application to Scheduling
107
Domination Analysis of Combinatorial Optimization
144
Strategies for Searching Graphs
189
Recent Trends in Arc Routing
215
Software and Hardware Testing Using Combinatorial
237
Incidences
267
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