C. Tuffley

activity

20022021

most citedFinite subset spaces of S^1

16 citations · 54 across the 17 of their papers we have counts for

collaborators

17 papers

stat.AP2021

Parametric study of E. coli incidence with reference to the New Zealand freshwater standards and the Manawatū-Whanganui region

Stephen R Marsland, Robert I McLachlan, Christopher Tuffley

The New Zealand National Policy Statement for Freshwater Management 2020 sets several targets for freshwater quality, six of which are measurements of rivers; others relate to lake…

math.GT2020

Weakly linked embeddings of pairs of complete graphs in $R^{3}$

James Di, Erica Flapan, Spencer Johnson +2

Let $G$ and $H$ be disjoint embeddings of complete graphs $K_{m}$ and $K_{n}$ in $R^{3}$ such that some cycle in $G$ links a cycle in $H$ with non-zero linking number. We say th…

math.GT2018

Distinguishing the generalised knot groups of square and granny knot analogues

Howida Al Fran, Christopher Tuffley

Given a knot $K$ we may construct a group $G_{n} (K)$ from the fundamental group of $K$ by adjoining an $n$ th root of the meridian that commutes with the corresponding longitude. For…

math.CO2018

Characterisation and classification of signatures of spanning trees of the $n$ -cube

Howida A. Al Fran, David J. W. Simpson, Christopher P. Tuffley

The signature of a spanning tree $T$ of the $n$ -cube $Q_{n}$ is the $n$ -tuple $sig (T) = (a_{1}, a_{2}, \dots, a_{n})$ such that $a_{i}$ is the number of edges of $T$ in the $i$ th directi…

math.GT2017

Intrinsic linking with linking numbers of specified divisibility

Christopher Tuffley

Let $n$ , $q$ and $r$ be positive integers, and let $K_{N}^{n}$ be the $n$ -skeleton of an $(N - 1)$ -simplex. We show that for $N$ sufficiently large every embedding of $K_{N}^{n}$ in $\mathbb…

math.DS2016★ 10 cited

Subsumed homoclinic connections and infinitely many coexisting attractors in piecewise-linear maps

David J. W. Simpson, Christopher P. Tuffley

We establish an equivalence between infinitely many asymptotically stable periodic solutions and subsumed homoclinic connections for $N$ -dimensional piecewise-linear continuous map…