Projects per year
Personal profile
Personal Statement
I obtained my PhD in Mathematics from the University of Manchester in 1993 and have spent most of my career carrying out research into matrix algebra. My interest in applications drew me inexorably towards network theory and my research interests now centre on the algebraic structure of networks as well as on the use of networks to represent other mathematical structures.
Personal webpage here.
Fingerprint Dive into the research topics where Philip Knight is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
Balancing
Mathematics
Mixed Complementarity Problem
Mathematics
Bak-Sneppen Model
Mathematics
Markov Process
Mathematics
Scaling
Mathematics
Network Flow Problem
Mathematics
Linear Complementarity Problem
Mathematics
Rounding
Mathematics
Projects 2011 2021
Scalable partitioning of large complex networks
Royal Academy of Engineering RAE
1/12/19 → 30/11/21
Project: Research
EPSRC Doctoral Training Grant - DTA, University of Strathclyde | Sheerin, Matthew James
Estrada, E., Knight, P. & Sheerin, M. J.
EPSRC (Engineering and Physical Sciences Research Council)
1/10/13 → 25/05/18
Project: Research Studentship - Internally Allocated
Research Output 2007 2017
Network models and biproportional rounding for fair seat allocations in the UK elections
Akartunali, K. & Knight, P. A., 30 Jun 2017, In : Annals of Operations Research. 253, 1, p. 1-19 19 p.Research output: Contribution to journal › Article
Open Access
File
Network Flow Problem
Rounding
Elections
Seats
Network Model
A First Course in Network Theory
Estrada, E. & Knight, P. A., 26 Mar 2015, Oxford. 272 p.Research output: Book/Report › Book
Balancing
Complex Networks
Biology
Physics
Background
Thesis
A multilevel approach for approximating the inverse Hessian in four-dimensional variational data assimilation
Author: Brown, K. L., 1 Apr 2015Supervisor: Ramage, A. (Supervisor) & Knight, P. (Supervisor)
Student thesis: Doctoral Thesis
Random rectangular networks : theory and applications
Author: Sheerin, M. J., 1 Apr 2017Supervisor: Estrada, E. (Supervisor) & Knight, P. (Supervisor)
Student thesis: Doctoral Thesis
Activities 2009 2019
28th Biennial Conference on Numerical Analysis
Alison Ramage (Organiser), Philip Knight (Organiser), John Mackenzie (Organiser)25 Jun 2019 → 28 Jun 2019
Activity: Participating in or organising an event types › Participation in conference
27th Biennial Conference on Numerical Analysis
Alison Ramage (Organiser), Philip Knight (Organiser), John MacKenzie (Organiser)27 Jun 2017 → 30 Jun 2017
Activity: Participating in or organising an event types › Organiser of major conference