## Search

Now showing items 1-10 of 21

#### Determining the order of a molecular point group

(University of Canterbury. Chemistry, 2011)

Conventional methods of identifying the point group of a molecule require skills in finding symmetry elements and
operations. A useful aid to error checking is an ability to determine the order of a group purely from its ...

#### Maximal differential uniformity polynomials

(2017)

We provide an explicit infinite family of integers m such
that all the polynomials of F2n [x] of degree m have maximal differential
uniformity for n large enough. We also prove a conjecture of the third
author in these cases.

#### The circle space of a spherical circle plane

(BELGIAN MATHEMATICAL SOC TRIOMPHE, 2014)

We show that the circle space of a spherical circle plane is a punctured
projective 3-space. The main ingredient is a partial solution of the problem
of Apollonius on common touching circles.

#### New characterisations of tree-based networks and proximity measures

(2017)

Phylogenetic networks are a type of directed acyclic graph
that represent how a set X of present-day species are
descended from a common ancestor by processes of speciation
and reticulate evolution. In the absence of ...

#### Asymptotic enumeration of symmetric integer matrices with uniform row sums

(CAMBRIDGE UNIV PRESS, 2013)

We investigate the number of symmetric matrices of nonnegative integers with zero diagonal such that each row sum is the same. Equivalently, these are zero-diagonal symmetric contingency tables with uniform margins, or ...

#### Maps between curves and arithmetic obstructions

(2017)

Let X and Y be curves over a finite field. In this article we explore methods
to determine whether there is a rational map from Y to X by considering
L-functions of certain covers of X and Y and propose a specific family ...

#### On kleinewillingh¨ofer types of finite laguerre planes with respect to homotheties

(2016)

© 2016, University of Queensland. All rights reserved. Kleinewillinghöfer classified Laguerre planes with respect to central automorphisms and obtained a multitude of types. In this paper we investigate the Kleinewillinghöfer ...

#### Relative Brauer groups of torsors of period two

(2016)

We consider the problem of computing the relative Brauer group of a torsor of
period two under an elliptic curve. We show how this problem can be reduced to finding a
set of generators for the group of rational points ...

#### Degree and the Brauer-Manin obstruction

(2017)

Let X be a smooth variety over a number field k embedded as a degree d
subvariety of {P}^nk and suppose that X is a counterexample to the
Hasse principle explained by the Brauer-Manin obstruction. We consider the
question ...