33 citations · 45 across the 15 of their papers we have counts for
16 papers
Squaring the circle: embedding in
Ian Doust, Anthony Weston
Let be the unit circle endowed with the arc length metric. This paper concerns the question of which subsets of can be embedded isometrically into the sequence…
Polygonal equalities and -negative type
Ian Doust, Anthony Weston
Nontrivial -polygonal equalities impose certain conditions on the geometry of a metric space and so it is of interest to be able to identify the values of $p \in [0,\inf…
Beyond trees: the metric geometry of subsets of weighted Hamming cubes
Ian Doust, Anthony Weston
Associated to any finite metric space are a large number of objects and quantities which provide some degree of structural or geometric information about the space. In this paper w…
A problem on distance matrices of subsets of the Hamming cube
Ian Doust, Reinhard Wolf
Let denote the distance matrix for an point metric space . In the case that is an unweighted metric tree, the sum of the entries in is always equal to…
Distance matrices of subsets of the Hamming cube
Ian Doust, Gavin Robertson, Alan Stoneham +1
Graham and Winkler derived a formula for the determinant of the distance matrix of a full-dimensional set of points in the Hamming cube…
The geometry of two-valued subsets of -spaces
Anthony Weston
Let denote the algebra of all scalar-valued measurable functions on a measure space . Let be a set of finitely supported m…