• Publications
  • Influence
Flocks and Formations
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 andExpand
  • 74
  • 3
  • PDF
Graph theoretic methods in the stability of vehicle formations
TLDR
This paper investigates the stabilization of vehicle formations using techniques from algebraic graph theory. Expand
  • 69
  • 3
  • PDF
The Terwilliger Algebra of a Distance-Regular Graph that Supports a Spin Model
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 avoidExpand
  • 22
  • 2
  • PDF
Spectra of Bipartite P- and Q-Polynomial Association Schemes
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 ofExpand
  • 17
  • 1
Bistability analyses of CD4+ T follicular helper and regulatory cells during Helicobacter pylori infection.
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-mediateExpand
  • 15
  • 1
Implementing inquiry-oriented curriculum: From the mathematicians’ perspective
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 thoseExpand
  • 23
  • 1
Patterns, Sets of Outcomes, and Combinatorial Justification: Two Students’ Reinvention of Counting Formulas
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 studentExpand
  • 22
  • 1
Bipartite Q-Polynomial Quotients of Antipodal Distance-Regular Graphs
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
  • 8
The Parameters of Bipartite Q-polynomial Distance-Regular Graphs
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 satisfyExpand
  • 5
  • PDF
FRACTIONAL COLORINGS AND THE MYCIELSKI GRAPHS
  • 2
  • PDF
...
1
2
3
...