Search Results - "Eggleton, Roger B."

Refine Results
  1. 1

    Equisum Partitions of Sets of Positive Integers by Eggleton, Roger B.

    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…”
    Get full text
    Journal Article
  2. 2

    A Note on Counting Homomorphisms of Paths by Eggleton, Roger B., Morayne, Michał

    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…”
    Get full text
    Journal Article
  3. 3

    Chromatic properties of the Euclidean plane by Currie, James D, Eggleton, Roger B

    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…”
    Get full text
    Journal Article
  4. 4

    Consecutive Integers with Equally Many Principal Divisors by Eggleton, Roger B., MacDougall, James A.

    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…”
    Get full text
    Magazine Article
  5. 5

    Upper Bounds on the Sum of Principal Divisors of an Integer by Eggleton, Roger B., Galvin, William P.

    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…”
    Get full text
    Magazine Article
  6. 6
  7. 7
  8. 8
  9. 9
  10. 10
  11. 11
  12. 12
  13. 13
  14. 14
  15. 15
  16. 16
  17. 17

    Counting by Correspondence by Cormier, Romae J., Eggleton, Roger B.

    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…”
    Get full text
    Magazine Article
  18. 18
  19. 19
  20. 20