Search Results - "Eggleton, Roger B."
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Equisum Partitions of Sets of Positive Integers
Published in Algorithms (01-08-2019)“…Let V be a finite set of positive integers with sum equal to a multiple of the integer b . When does V have a partition into b parts so that all parts have…”
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A Note on Counting Homomorphisms of Paths
Published in Graphs and combinatorics (2014)“…We obtain two identities and an explicit formula for the number of homomorphisms of a finite path into a finite path. For the number of endomorphisms of a…”
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Chromatic properties of the Euclidean plane
Published 11-09-2015“…Let $G$ be the unit distance graph in the plane. A well-known problem in combinatorial geometry is that of determining the chromatic number of $G$. It is known…”
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Consecutive Integers with Equally Many Principal Divisors
Published in Mathematics magazine (01-10-2008)“… The Fundamental Theorem of Arithmetic is usually stated in a form emphasizing how primes enter the structure of the positive integers, such as: Every…”
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Upper Bounds on the Sum of Principal Divisors of an Integer
Published in Mathematics magazine (01-06-2004)“… Eggleton and Galvin prove Brian Alspach's observation that any odd integer N greater than 15 that is not a prime-power is greater than twice the sum of its…”
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Unitary Fractions: 10501
Published in The American mathematical monthly (01-04-1998)Get full text
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Explaining Simple Combinatorial Answers
Published in The American mathematical monthly (01-05-1986)Get full text
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Explaining Simple Combinatorial Answers
Published in The American mathematical monthly (01-05-1986)Get full text
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Problems:10501-10507
Published in The American mathematical monthly (01-02-1996)Get full text
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Upper Bounds on the Sum of Principal Divisors of an Integer
Published in Mathematics magazine (01-06-2004)Get full text
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Catalan Strikes Again! How Likely Is a Function to Be Convex?
Published in Mathematics magazine (01-10-1988)Get full text
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Catalan Strikes Again! How Likely Is a Function to Be Convex?
Published in Mathematics magazine (01-10-1988)Get full text
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Counting by Correspondence
Published in Mathematics magazine (01-09-1976)“…Insight into enumeration may follow from correspondences between sets to be counted and sets whose cardinalities are obvious…”
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Counting by Correspondence
Published in Mathematics magazine (01-09-1976)Get full text
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