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Student Research Projects: Graceful Graphs and Sparsely Marked Rulers.
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Bivens, Iri C., Ed. – College Mathematics Journal, 1991
Considered is the open-ended question of the various means of marking an n-inch ruler so that the distance of any integral number of inches from 1 to n can be ascertained with a single measurement. The relationship between a sparsely marked ruler, which is one gracefully marked with the fewest number of marks, and specific discrete graphs is…
Descriptors: College Mathematics, Higher Education, Learning Activities, Mathematical Enrichment
Classroom Capsules.
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Flanigan, Frank., Ed. – College Mathematics Journal, 1991
Clapping music for two performers provides the basis for a series of mathematical problems in combinatorics and group theory. A discussion provides insight about how to avoid overlooking global extrema in constrained max-min problems when solving systems of algebraic equations. (JJK)
Descriptors: Algebra, College Mathematics, Higher Education, Learning Activities