Reconstructing the number of edges from a partial deck

Oxford Mathematician Carla Groenland talks about her and Oxford colleagues' work on graph reconstruction.

A graph $G$ consists of a set of vertices $V(G)$ and a set of edges $E(G)$ which may connect two (distinct) vertices. (There are no self-loops or multiple edges.)

How deadly is Ebola?
 Donnelly, C Garske, T Biomedical Science Journal for teens
Prevalence and Risk Determinants of Human Immunodeficiency Virus Type 2 (HIV-2) and Human Immunodeficiency Virus Type 1 (HIV-1) in West African Female Prostitutes
 Kanki, P M'Boup, S Marlink, R Travers, K Hsieh, C Gueye, A Boye, C Sankalé, J Donnelly, C Leisenring, W Siby, T Thior, I Dia, M Gueye, E N'Doye, I Essex, M American Journal of Epidemiology volume 136 issue 7 895-907 (01 Oct 1992)
Review papers : Longitudinal studies with continuous responses
 Laird, N Donnelly, C Ware, J Statistical Methods in Medical Research volume 1 issue 3 225-247 (01 Nov 1992)
Comparison of transmission rates of HIV-1 and HIV-2 in a cohort of prostitutes in Senegal
 Donnelly, C Leisenring, W Kanki, P Awerbuch, T Sandberg, S Bulletin of Mathematical Biology volume 55 issue 4 731-743 (Jul 1993)
19 Regression analysis of spatially correlated data: The kanawha county health study Donnelly, C Ware, J Laird, N (1994)
Prediction and Creation of Smooth Curves for Temporally Correlated Longitudinal Data
 Donnelly, C Laird, N Ware, J Journal of the American Statistical Association volume 90 issue 431 984-989 (Sep 1995)
Some blood plasma constituents correlate with human cataract.
 Donnelly, C Seth, J Clayton, R Phillips, C Cuthbert, J Prescott, R British Journal of Ophthalmology volume 79 issue 11 1036 (01 Nov 1995)
The spatial analysis of covariates in a study of environmental epidemiology
 Donnelly, C Statistics in Medicine volume 14 issue 21‐22 2393-2409 (15 Nov 1995)
Skin disease and age-related cataract.
 Phillips, C Donnelly, C Clayton, R Cuthbert, J Acta Dermato Venereologica volume 76 issue 4 314-318 (01 Jul 1996)
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