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Belcastro, Sarah-Marie – College Mathematics Journal, 2012
We review the history of snarks and give a selected survey of recent research. The article and snarks themselves are much more interesting than this summary makes them sound.
Descriptors: Graphs, Mathematics, History, Research
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Axtell, M.; Stickles, J. – College Mathematics Journal, 2010
The last ten years have seen an explosion of research in the zero-divisor graphs of commutative rings--by professional mathematicians "and" undergraduates. The objective is to find algebraic information within the geometry of these graphs. This topic is approachable by anyone with one or two semesters of abstract algebra. This article gives the…
Descriptors: Graphs, Professional Personnel, Mathematics, College Mathematics
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Vest, Floyd – College Mathematics Journal, 1985
An interesting graphical interpretation of complex roots is presented, since it is probably unfamiliar to many mathematics teachers. (MNS)
Descriptors: Algebra, College Mathematics, Graphs, Higher Education
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DeTemple, Duane W. – College Mathematics Journal, 1984
How tedious algebraic manipulations for simplifying general quadratic equations can be supplemented with simple geometric procedures is discussed. These procedures help students determine the type of conic and its axes and allow a graph to be sketched quickly. (MNS)
Descriptors: Algebra, College Mathematics, Equations (Mathematics), Geometric Concepts
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Hildebrand, Wilbur J. – College Mathematics Journal, 1990
Discusses a method of cubic splines to determine a curve through a series of points and a second method for obtaining parametric equations for a smooth curve that passes through a sequence of points. Procedures for determining the curves and results of each of the methods are compared. (YP)
Descriptors: Algebra, College Mathematics, Computation, Equations (Mathematics)
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Chartrand, Gary; And Others – College Mathematics Journal, 1988
There are many problems that can be translated into the language of graph theory. Such a problem, discussed in this article is to show that in any group of two or more people, there are at least two people who have the same number of acquaintances in the group. (PK)
Descriptors: College Mathematics, Graphs, Higher Education, Mathematical Applications
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Beineke, Lowell W. – College Mathematics Journal, 1989
Explored are various aspects of drawing graphs on surfaces. The Euler's formula, Kuratowski's theorem and the drawing of graphs in the plane with as few crossings as possible are discussed. Some applications including embedding of graphs and coloring of maps are included. (YP)
Descriptors: College Mathematics, Critical Path Method, Graphs, Higher Education
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Schoenfeld, Alan H. – College Mathematics Journal, 1989
Solves the problem of defining a smooth piecewise linear approximation to a given function. Discusses some alternative approaches to the problem. (YP)
Descriptors: Algebra, Calculus, College Mathematics, Graphs