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Topic: Ramsey theory

	ipedia.com: Graph theory Article (Site not responding. Last check: 2007-11-07)
		Graph theory is the branch of mathematics that examines the properties of graphs.
		Depending on the applications, edges may or may not have a direction; edges joining a vertex to itself may or may not be allowed, and vertices and/or edges may be assigned weights, that is, numbers.
		This illustrates the deep connection between graph theory and topology.
	www.ipedia.com /graph_theory.html (901 words)

	05: Combinatorics
		Moreover, because of the approachable nature of the subject, combinatorics is often presented with other fields (elementary probability, elementary number theory, and so on) to the exclusion of the more significant aspects of the subject.
		Codes (in the sense of coding theory) may be considered part of combinatorics, particularly the construction of nonlinear codes.
		The theory of designs is also a topic in experimental designs, in 62: Statistics.
	www.math.niu.edu /~rusin/known-math/index/05-XX.html (1978 words)

	Combinatorial matrices and graph theory
		Combinatorics is a branch of discrete mathematics which is enjoying a boom, fueled in part by a wealth of applications in areas such as computer science, genetics and operations research.
		Specifically, a graph consists of a set of vertices and a set of edges, where (generally) each edge is an unordered pair of distinct vertices.
		For example, graphs can be viewed as square matrices with all entries either 0 or 1, where a 1 denotes an edge between two vertices and a 0 denotes no edge.
	www2.maths.unsw.edu.au /amsiss04/combmat.html (519 words)

	untitled
		Ramsey Theory concerns ordered patterns within chaos and became a pet puzzle of mathematician Paul Erdös, a mathematician who inspired many others.
		But how very appropriate is Ramsey Theory to have been uncovered and organized by Erdös.
		According to Ramsey theory, this means there must be at least four guests from different neighborhoods - and there are.
	www.javaskyline.com /except3.html (2176 words)

	Stephen Wolfram: A New Kind of Science -- Relevant Books
		Giles, Ranald V. Theory and Problems of Fluid Mechanics and Hydraulics.
		Proceedings of EUROCRYPT '84 A Workshop on the Theory and Application of Cryptographic Techniques, Paris, France, April 1984.
		Much Ado About Nothing: Theories of Space and Vacuum from the Middle Ages to the Scientific Revolution
	www.wolframscience.com /reference/books/g.html (908 words)

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