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Graph Theory has proved to be an extremely useful tool for solving combinatorial problems in such diverse areas as Geometry, Algebra, Number Theory, Topology, Operations Research and Optimization. It is natural to attempt to generalise the concept of a graph, in order to attack additional combinatorial problems. The idea of looking at a family of sets from this standpoint took shape around 1960. In regarding each set as a ``generalised edge'' and in calling the family itself a ``hypergraph'', the initial idea was to try to extend certain classical results of Graph Theory such as the theorems o

Discrete mathematics --- Hypergraphs. --- Graph theory. --- Hypergraphs --- 517.98 --- 681.3*G22 --- 517.98 Functional analysis and operator theory --- Functional analysis and operator theory --- Graph theory --- 681.3*G22 Graph theory: graph algorithms; network problems; path and tree problems; trees--See also {681.3*F22} --- Graph theory: graph algorithms; network problems; path and tree problems; trees--See also {681.3*F22} --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Extremal problems

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Hypergraphs --- Hypergraphes

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Combinatorial analysis --- 519.1 --- 681.3*G21 --- 681.3*G21 Combinatorics: combinatorial algorithms; counting problems; generating functions; permutations and combinations; recurrences and difference equations --- Combinatorics: combinatorial algorithms; counting problems; generating functions; permutations and combinations; recurrences and difference equations --- 519.1 Combinatorics. Graph theory --- Combinatorics. Graph theory

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Graphes, Théorie des

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