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Flocks and Formations

- J. Veerman, G. Lafferriere, J. Caughman, A. Williams
- Mathematics
- 1 December 2005

Given a large number (the “flock”) of moving physical objects, we investigate physically reasonable mechanisms of influencing their orbits in such a way that they move along a prescribed course and… Expand

74 3- PDF

Graph theoretic methods in the stability of vehicle formations

- G. Lafferriere, J. Caughman, A. Williams
- Mathematics
- Proceedings of the American Control Conference
- 2004

TLDR

69 3- PDF

The Terwilliger Algebra of a Distance-Regular Graph that Supports a Spin Model

- J. Caughman, Nadine Wolff
- Mathematics
- 1 May 2005

Let Γ denote a distance-regular graph with vertex set X, diameter D ≥ 3, valency k ≥ 3, and assume Γ supports a spin model W. Write W = ∑i = 0DtiAi where Ai is the ith distance-matrix of Γ. To avoid… Expand

22 2- PDF

Spectra of Bipartite P- and Q-Polynomial Association Schemes

- J. Caughman
- Mathematics
- 20 November 1998

Let Y=(X,{R i }0≤i≤D) denote a symmetric association scheme with D≥3, and assume Y is not an ordinary cycle. Suppose Y is bipartite P-polynomial with respect to the given ordering A0, A1,…, A D of… Expand

17 1

Bistability analyses of CD4+ T follicular helper and regulatory cells during Helicobacter pylori infection.

- A. Leber, Vida Abedi, +6 authors J. Bassaganya-Riera
- Biology, Medicine
- Journal of theoretical biology
- 7 June 2016

T follicular helper (Tfh) cells are a highly plastic subset of CD4+ T cells specialized in providing B cell help and promoting inflammatory and effector responses during infectious and immune-mediate… Expand

15 1

Implementing inquiry-oriented curriculum: From the mathematicians’ perspective

- Estrella Johnson, J. Caughman, J. Fredericks, L. Gibson
- Mathematics
- 1 December 2013

Abstract As part of an effort to scale up an instructional innovation in abstract algebra, several mathematicians have implemented an inquiry-oriented, group theory curriculum. Three of those… Expand

23 1

Patterns, Sets of Outcomes, and Combinatorial Justification: Two Students’ Reinvention of Counting Formulas

- E. Lockwood, Craig Swinyard, J. Caughman
- Mathematics
- 14 April 2015

Counting problems provide an accessible context for rich mathematical thinking, yet they can be surprisingly difficult for students. To foster conceptual understanding that is grounded in student… Expand

22 1

Bipartite Q-Polynomial Quotients of Antipodal Distance-Regular Graphs

- J. Caughman
- Mathematics
- 1 July 1999

Let ? denote a bipartite Q-polynomial distance-regular graph with diameter D?4. We show that ? is the quotient of an antipodal distance-regular graph if and only if one of the following holds. (i)?… Expand

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The Parameters of Bipartite Q-polynomial Distance-Regular Graphs

- J. Caughman
- Mathematics
- 1 May 2002

Let Γ denote a bipartite distance-regular graph with diameter D ≥ 3 and valency k ≥ 3. Suppose θ0, θ1, ..., θD is a Q-polynomial ordering of the eigenvalues of Γ. This sequence is known to satisfy… Expand

5- PDF

FRACTIONAL COLORINGS AND THE MYCIELSKI GRAPHS

- G. Jacobs, J. Caughman
- Mathematics
- 2006

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