Combinatorics of n-Colored Cyclic Compositions

Meghann M. Gibson; Daniel Gray; Hua Wang

Combinatorics of n-Colored Cyclic Compositions

Meghann M. Gibson, Daniel Gray, Hua Wang

Mathematical Sciences

Georgia Southern University

Research output: Contribution to conference › Presentation

Abstract

Integer compositions and related enumeration problems have been of interests to combinatorialists and number theorists for a long time. The cyclic and colored analogues of this concept, although interesting, have not been extensively studied. We explore the combinatorics of n-colored cyclic compositions, presenting generating functions, bijections, asymptotic formulas related to the number of such compositions, and the number of parts and the number of restricted parts of certain cyclic compositions.

Original language	American English
State	Published - Mar 12 2017
Event	Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS) - Duration: Mar 12 2017 → …

Conference

Conference	Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS)
Period	03/12/17 → …

Keywords

Combinatorics
n-colored cyclic compositions

DC Disciplines

Mathematics
Physical Sciences and Mathematics

Access to Document

http://www.ams.org/amsmtgs/2228_abstracts/1126-05-357.pdf

Cite this

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title = "Combinatorics of n-Colored Cyclic Compositions",

abstract = " Integer compositions and related enumeration problems have been of interests to combinatorialists and number theorists for a long time. The cyclic and colored analogues of this concept, although interesting, have not been extensively studied. We explore the combinatorics of n-colored cyclic compositions, presenting generating functions, bijections, asymptotic formulas related to the number of such compositions, and the number of parts and the number of restricted parts of certain cyclic compositions.",

keywords = "Combinatorics, n-colored cyclic compositions",

author = "Gibson, {Meghann M.} and Daniel Gray and Hua Wang",

year = "2017",

month = mar,

day = "12",

language = "American English",

note = "Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS) ; Conference date: 12-03-2017",

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TY - CONF

T1 - Combinatorics of n-Colored Cyclic Compositions

AU - Gibson, Meghann M.

AU - Gray, Daniel

AU - Wang, Hua

PY - 2017/3/12

Y1 - 2017/3/12

N2 - Integer compositions and related enumeration problems have been of interests to combinatorialists and number theorists for a long time. The cyclic and colored analogues of this concept, although interesting, have not been extensively studied. We explore the combinatorics of n-colored cyclic compositions, presenting generating functions, bijections, asymptotic formulas related to the number of such compositions, and the number of parts and the number of restricted parts of certain cyclic compositions.

AB - Integer compositions and related enumeration problems have been of interests to combinatorialists and number theorists for a long time. The cyclic and colored analogues of this concept, although interesting, have not been extensively studied. We explore the combinatorics of n-colored cyclic compositions, presenting generating functions, bijections, asymptotic formulas related to the number of such compositions, and the number of parts and the number of restricted parts of certain cyclic compositions.

KW - Combinatorics

KW - n-colored cyclic compositions

UR - https://digitalcommons.georgiasouthern.edu/math-sci-facpres/490

UR - http://www.ams.org/amsmtgs/2228_abstracts/1126-05-357.pdf

M3 - Presentation

T2 - Spring Southeastern Sectional Meeting of the American Mathematical Society (AMS)

Y2 - 12 March 2017

ER -

Combinatorics of n-Colored Cyclic Compositions

Abstract

Conference

Keywords

DC Disciplines

Access to Document

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