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Graph theory is very much tied to the geometric properties of optimization and combinatorial optimization. Moreover, graph theory's geometric properties are at the core of many research interests in operations research and applied mathematics. Its techniques have been used in solving many classical problems including maximum flow problems, independent set problems, and the traveling salesman problem. Graph Theory and Combinatorial Optimization explores the field's classical foundations and its developing theories, ideas and applications to new problems. The book examines the geometric properties of graph theory and its widening uses in combinatorial optimization theory and application. The field's leading researchers have contributed chapters in their areas of expertise.

Combinatorial optimization. --- Graph theory. --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Optimization, Combinatorial --- Mathematical optimization --- Extremal problems --- Operations research. --- Combinatorics. --- Mathematical optimization. --- Computer science --- Operations Research/Decision Theory. --- Operations Research, Management Science. --- Optimization. --- Mathematical Modeling and Industrial Mathematics. --- Computational Mathematics and Numerical Analysis. --- Mathematics. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Combinatorics --- Algebra --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Mathematics --- Decision making. --- Management science. --- Mathematical models. --- Computer mathematics. --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management --- Management decisions --- Choice (Psychology) --- Problem solving --- Quantitative business analysis --- Statistical decision --- Models, Mathematical --- Decision making --- Discrete mathematics. --- Operations Research and Decision Theory. --- Operations Research, Management Science . --- Discrete Mathematics. --- Data processing. --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis