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- Norman Do, Marion C. Kagel MA
- Dysphagia
- 1996

Dysphagia in patients with Parkinson's disease (PD) is most often atributed to pharyngeoesophageal motor abnormalities. In our study of patients with idiopathic PD, attention was focused on prepharyngeal symptoms and motor functions. Using the Hoehn and Yahr disease severity scale, patients were grouped into those with mild/moderate disease [subgroup I… (More)

- Josep Díaz, Norman Do, Maria J. Serna, Nicholas C. Wormald
- RANDOM
- 2002

We present two randomized algorithms to bound the bisection width of random n-vertex cubic graphs. We obtain an asymptotic upper bound for the bisection width of 0.174039n and a corresponding lower bound of 1.325961n. The analysis is based on the differential equation method.

- Norman Do
- Dysphagia
- 1996

Dysphagia complicates both idiopathic Parkinson's disease (IPD) and drug-induced parkinsonism (DIP). Although parkinsonism of DIP and IPD are often clinically indistinguishable, there is no assurance that their abnormalities of swallowing will be similar. We evaluated a patient with DIP who complained of difficulty chewing and swallow initiation. The… (More)

- Josep Díaz, Norman Do, Maria J. Serna, Nicholas C. Wormald
- Theor. Comput. Sci.
- 2003

In this paper, we present a randomized algorithm to compute the bisection width of cubic and 4-regular graphs. The analysis of the proposed algorithms on random graphs provides asymptotic upper bounds for the bisection width of random cubic and random 4-regular graphs with n vertices, giving upper bounds of 0:174039n for random cubic, and of 0:333333n for… (More)

- Norman Do, David Manescu
- 2013

The topological recursion of Eynard and Orantin governs a variety of problems in enumerative geometry and mathematical physics. The recursion uses the data of a spectral curve to define an infinite family of multidifferentials. It has been conjectured that, under certain conditions, the spectral curve possesses a non-commutative quantisation whose… (More)

- Norman Do, Paul T. Norbury
- 2010

We define and count lattice points in the moduli spaceMg,n of stable genus g curves with n labeled points. This extends a construction of the second author for the uncompactified moduli spaceMg,n. The enumeration produces polynomials with top degree coefficients tautological intersection numbers onMg,n and constant term the orbifold Euler characteristic… (More)

- Norman Do, Paul T. Norbury
- 2016

The Witten–Kontsevich theorem states that a certain generating function for intersection numbers on the moduli space of stable curves is a tau-function for the KdV integrable hierarchy. This generating function can be recovered via the topological recursion applied to the Airy curve x = 1 2 y 2. In this paper, we consider the topological recursion applied… (More)

- Norman Do
- 2005

In his superb article entitled “The two cultures of mathematics” [4], Fields medallist Tim Gowers writes on the ever more prevalent dichotomy between mathematicians who are primarily problem-solvers and those who are primarily theory-builders. In particular, he defends the currently less fashionable problem-solving areas, such as combinatorics, and proposes… (More)

- Norman Do
- 2005

Undoubtedly one of the most popular pencil and paper games in the world is tic-tac-toe, also commonly known as noughts and crosses. The game has a longstanding history in many cultures across the globe. It has been posited that it may even have been played under the name of “terni lapilli” in Ancient Rome, where examples of the tic-tac-toe grid have been… (More)

- Norman Do
- 2012

Moduli spaces of hyperbolic surfaces may be endowed with a symplectic structure via the Weil–Petersson form. Mirzakhani proved that Weil–Petersson volumes exhibit polynomial behaviour and that their coefficients store intersection numbers on moduli spaces of curves. In this survey article, we discuss these results as well as some consequences and… (More)