University of North Carolina at Greensboro

output

19992026

most citedA triple star system with a misaligned and warped circumstellar disk shaped by disk tearing

109 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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6 papers · 1 filter

math.CO2020★ 2 cited

The Noncrossing Bond Poset of a Graph

C. Matthew Farmer, Joshua Hallam, Clifford Smyth

The partition lattice and noncrossing partition lattice are well studied objects in combinatorics. Given a graph $G$ on vertex set ${1, 2, \dots, n}$ , its bond lattice, $L_{G}$ , is t…

math.CO2015

A Probabilistic Characterization of the Dominance Order on Partitions

Clifford Smyth

A probabilistic characterization of the dominance partial order on the set of partitions is presented. This extends work in "Symmetric polynomials and symmetric mean inequalities".…

math.CO2015

The Territorial Raider Game and Graph Derangements

Nina Galanter, Dennis Silva, Jonathan T. Rowell +1

A derangement of a graph $G = (V, E)$ is an injective function $f : V \to V$ such that for all $v \in V$ , $f (v) \neq = v$ and $(v, f (v)) \in E$ . Not all graphs admit a derangement and previous…

math.CO2011★ 1 cited

Revolutionaries and Spies

David Howard, Clifford Smyth

Let $G = (V, E)$ be a graph and let $r, s, k$ be positive integers. "Revolutionaries and Spies", denoted $\cG(G,r,s,k)$, is the following two-player game. The sets of positions for pl…

math.CO2009

Enumeration of non-crossing pairings on bit strings

Todd Kemp, Karl Mahlburg, Amarpreet Rattan +1

A non-crossing pairing on a bitstring matches 1s and 0s in a manner such that the pairing diagram is nonintersecting. By considering such pairings on arbitrary bitstrings $1^{n_1}…

math.CO2008

The arithmetic of trees

Adriano Bruno, Dan Yasaki

The arithmetic of the natural numbers can be extended to arithmetic operations on planar binary trees. This gives rise to a non-commutative arithmetic theory. In this exposition, w…