Results 191 to 200 of about 6,789,089 (246)
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Annals of Operations Research, 1991
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AMS/MAA Textbooks, 2018
A graph is a system G = (V, E) consisting of a set V of vertices and a set E (disjoint from V ) of edges, together with an incidence function End : E → M2(V ), where M2(V ) is set of all 2-element sub-multisets of V . We usually write V = V (G), E = E(G),
L. Gladkov
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A graph is a system G = (V, E) consisting of a set V of vertices and a set E (disjoint from V ) of edges, together with an incidence function End : E → M2(V ), where M2(V ) is set of all 2-element sub-multisets of V . We usually write V = V (G), E = E(G),
L. Gladkov
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Graph theory in the geosciences
Earth-Science Reviews, 2015Graph theory has long been used in quantitative geography and landscape ecology and has been applied in Earth and atmospheric sciences for several decades. Recently, however, there have been increased, and more sophisticated, applications of graph theory concepts and methods in geosciences, principally in three areas: spatially explicit modeling, small-
Phillips, Jonathan D.+2 more
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Mathematical Proceedings of the Cambridge Philosophical Society, 1947
We call a point set in a complex K a 0-cell if it contains just one point of K, and a 1-cell if it is an open arc. A set L of 0-cells and 1-cells of K is called a linear graph on K if(i) no two members of L intersect,(ii) the union of all the members of L is K,(iii) each end-point of a 1-cell of L is a 0-cell of Land (iv) the number of 0-cells and 1 ...
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We call a point set in a complex K a 0-cell if it contains just one point of K, and a 1-cell if it is an open arc. A set L of 0-cells and 1-cells of K is called a linear graph on K if(i) no two members of L intersect,(ii) the union of all the members of L is K,(iii) each end-point of a 1-cell of L is a 0-cell of Land (iv) the number of 0-cells and 1 ...
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Introduction to Graph Theory and Algebraic Graph Theory
2013Graph theory is a branch of mathematics started by Euler [1] as early as 1736. It took a hundred years before the second important contribution of Kirchhoff [2] had been made for the analysis of electrical networks. Cayley [3] and Sylvester [4] discovered several properties of special types of graphs known as trees.
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A polyhedral theory on graphs [PDF]
Using rudiments of homology theory the author establishes a unification of the well-known planarity criteria due to MacLane and Whitney, and gives a short proof of the Gauss crossing conjecture concerning the sequence of double points of a planar projection of a knot.
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Reflections on graph theory [PDF]
AbstractAt the occasion of the 250th anniversary of graph theory, we recall some of the basic results and unsolved problems, some of the attractive and surprising methods and results, and some possible future directions in graph theory.
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1993
A graph is just a bunch of points with lines between some of them, like a map of cities linked by roads. A rather simple notion. Nevertheless, the theory of graphs has broad and important applications, because so many things can be modeled by graphs.
Fred B. Schneider, David Gries
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A graph is just a bunch of points with lines between some of them, like a map of cities linked by roads. A rather simple notion. Nevertheless, the theory of graphs has broad and important applications, because so many things can be modeled by graphs.
Fred B. Schneider, David Gries
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Cabri-graph, a sketchpad for graph theory
Mathematics and Computers in Simulation, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baudon, Olivier, Laborde, Jean-Marie
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