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Article

Knight, Philip A. and le Gorrec, Luce and Mouysset, Sandrine and Ruiz, Daniel (2023) Introducing the class of semidoubly stochastic matrices : a novel scaling approach for rectangular matrices. SIAM Journal on Matrix Analysis and Applications, 44 (4). pp. 1731-1748. ISSN 0895-4798

Aleidan, Azhar and Knight, Philip A (2023) Spectral techniques for measuring bipartivity and producing partitions. Journal of Complex Networks, 11 (4). cnad026. ISSN 2051-1329

Knight, Philip and Pritchard, Chris (2023) Does my vote count? A glimpse into the SMC's multiplicative reasoning project. Mathematics in School, 52 (3). pp. 6-7. ISSN 0305-7259

le Gorrec, Luce and Knight, Philip A. and Caen, Auguste (2021) Learning network embeddings using small graphlets. Social Network Analysis and Mining, 12 (1). 20. ISSN 1869-5450

Paparistodimou, Giota and Duffy, Alex and Whitfield, Robert Ian and Knight, Philip and Robb, Malcolm (2020) A network tool to analyse and improve robustness of system architectures. Design Science, 6. e8. ISSN 2053-4701

Paparistodimou, Giota and Duffy, Alex and Whitfield, Robert Ian and Knight, Philip and Robb, Malcolm (2020) A network science-based assessment methodology for robust modular system architectures during early conceptual design. Journal of Engineering Design, 31 (4). pp. 179-218. ISSN 1466-1837

Pritchard, Chris and Knight, Phil (2019) Does my vote count? A glimpse into the SMC's multiplicative reasoning project. Scottish Mathematical Council Journal, 49. pp. 67-68.

Akartunali, Kerem and Knight, Philip A. (2017) Network models and biproportional rounding for fair seat allocations in the UK elections. Annals of Operations Research, 253 (1). pp. 1-19. ISSN 0254-5330

Knight, Philip and Ruiz, Daniel and Ucar, Bora (2014) A symmetry preserving algorithm for matrix scaling. SIAM Journal on Matrix Analysis and Applications, 35 (3). 931–955. ISSN 0895-4798

Knight, Philip and Ruiz, Daniel (2013) A fast algorithm for matrix balancing. IMA Journal of Numerical Analysis, 33 (3). pp. 1029-1047. ISSN 0272-4979

Grinfeld, Michael and Knight, Philip and Wade, Andrew (2012) Rank-driven Markov processes. Journal of Statistical Physics, 146 (2). pp. 378-407. ISSN 0022-4715

Grinfeld, Michael and Knight, Philip A. and Wade, Andrew R. (2011) Bak-Sneppen-type models and rank-driven processes. Physical Review E, 84 (4). 041124. ISSN 2470-0053

Knight, Philip (2011) Mathematics and the mobile phone: network communication. Scottish Mathematical Council Journal, 41. pp. 86-88.

Knight, P.A. (2008) The Sinkhorn-Knopp algorithm : convergence and applications. SIAM Journal on Matrix Analysis and Applications, 30 (1). pp. 261-275. ISSN 0895-4798

Gauthier, A. and Knight, P.A. and McKee, S. (2007) The Hertz contact problem, coupled Volterra integral equations and a linear complementarity problem. Journal of Computational and Applied Mathematics, 206 (1). pp. 322-340. ISSN 0377-0427

Book Section

le Gorrec, Luce and Mouysset, Sandrine and Duff, Iain S. and Knight, Philip A. and Ruiz, Daniel; Brefeld, Ulf and Fromont, Elisa and Hotho, Andreas and Knobbe, Arno and Maathuis, Marloes and Robardet, Céline, eds. (2020) Uncovering hidden block structure for clustering. In: Machine Learning and Knowledge Discovery in Databases. Lecture Notes in Artificial Intelligence . Springer, DEU, pp. 140-155. ISBN 978-3-030-46150-8

Paparistodimou, Giota and Duffy, Alex and Knight, Philip and Whitfield, Ian and Robb, Malcolm and Voong, Caroline; (2018) Network-based metrics for assessment of naval distributed system architectures. In: 14th International Naval Engineering Conference & Exhibition (INEC) Glasgow, UK, 2 – 4 October 2018. Zenodo, [Geneva].

Book

Estrada, Ernesto and Knight, Philip A. (2015) A First Course in Network Theory. Oxford University Press, Oxford. ISBN 978-0-19-872645-6