Simone Severini

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Peter J. Cameron, Michael W. Newman, ∗ Ashley Montanaro, Simone Severini, † and Andreas Winter School of Mathematical Sciences, Queen Mary, University of London, London E1 4NS, U.K. Department of Computer Science, University of Bristol, Bristol BS8 1UB, U.K. Department of Mathematics, University of York, York YO10 5DD, U.K. Department of Mathematics,(More)
The cellular phenotype is described by a complex network of molecular interactions. Elucidating network properties that distinguish disease from the healthy cellular state is therefore of critical importance for gaining systems-level insights into disease mechanisms and ultimately for developing improved therapies. By integrating gene expression data with a(More)
We study the quantum channel version of Shannon’s zero-error capacity problem. Motivated by recent progress on this question, we propose to consider a certain linear space operators as the quantum generalisation of the adjacency matrix, in terms of which the plain, quantum and entanglement-assisted capacity can be formulated, and for which we show some new(More)
The pattern of a matrix M is a (0, 1)-matrix which replaces all non-zero entries of M with a 1. A directed graph is said to support M if its adjacency matrix is the pattern of M . If M is an orthogonal matrix, then a digraph which supports M must satisfy a condition known as quadrangularity. We look at quadrangularity in tournaments and determine for which(More)
The statistical study of biological networks has led to important novel biological insights, such as the presence of hubs and hierarchical modularity. There is also a growing interest in studying the statistical properties of networks in the context of cancer genomics. However, relatively little is known as to what network features differ between the cancer(More)
Differentiation is a key cellular process in normal tissue development that is significantly altered in cancer. Although molecular signatures characterising pluripotency and multipotency exist, there is, as yet, no single quantitative mark of a cellular sample's position in the global differentiation hierarchy. Here we adopt a systems view and consider the(More)
A partition Π of the set [n] = {1, 2, . . . , n} is a collection B1, B2, . . . , Bd of nonempty disjoint subsets of [n]. The elements of a partition are called blocks. We assume that B1, B2, . . . , Bd are listed in the increasing order of their minimum elements, that is minB1 < minB2 < · · · < minBd. The set of all partitions of [n] with d blocks is(More)