Access to the Mathematics Building is restricted due to refurbishment works; click here for access details.

CARMA supports the formation of the National Research Centre by the Australian Mathematical Sciences Institute. CARMA will be a foundation partner in the Centre when it is launched in 2016.

RESEARCH

CARMA renewed until 2020: read our presentation here

EVENTS

CONFERENCE

CTAC 2018

Tue, 27th Nov 2018 — Fri, 30th Nov 2018
Hunter Room, Newcastle City Hall (Newcastle, NSW)

Computational Techniques and Applications Conference (CTAC) 2018 will be hosted in Newcastle by CARMA from 27-30 November, 2019. This conference will focus on computational mathematics, scientific, technical and industrial applications and high-performance computing. Please visit the conference website for further information.

WORKSHOP

EViMS 3

Sat, 1st Dec 2018 — Mon, 3rd Dec 2018
(Location to be decided)

Dates to be confirmed. Information will be available on the workshop website.

These are the events in the next 7 days. For more, see the events page.

NEWS

"Theory and simulation in physics for materials applications" symposium

CARMA member Elena Levchenko is a co-organising for the symposium "Theory and simulation in physics for materials applications" at this year's European Materials Research Society (E-MRS... [READ MORE]

Elena Levchenko a key contributor to excellence in science

Elena's Acta Materialia paper "Composition dependence of diffusion and thermotransport in Ni-Al melts: A step towards molecular dynamics assisted databases" has been selected as a key s... [READ MORE]

Brian Alspach receives 2014 Euler medal at 5th ICC

The Institute of Combinatorics and its Applications awarded the 2014 Euler medal to Prof. Brian Alspach. This award is for "distinguished career contributions to combinatorics", and he... [READ MORE]

HIGHLIGHTS

Selected paper from DocServer
James A. MacDougall, I. D. Gray

ABSTRACT

Previously the first author has shown how to construct vertex-magic total labelings (VMTLs) for large families of regular graphs. The construction proceeds by successively adding arbitrary 2-factors to a regular graph of order $n$ which possesses a strong VMTL, to produce a regular graph of the same order but larger size. In this paper, we exploit this construction method. We are able to show that for any $r \geq 4$, every $r$-regular graph of odd order $n \leq 17$ has a strong VMTL. We show how to produce strong labelings for some families of 2-regular graphs since these are used as the starting points of our construction. While even-order regular graphs are much harder to deal with, we introduce 'mirror' labelings which provide a suitable starting point from which the construction can proceed. We are able to show that several large classes of $r$-regular graphs of even order (including some Hamiltonian graphs) have VMTLs.

MEMBERSHIP

Membership to CARMA offers many benefits and is available by invitation to all University of Newcastle academic staff. Associate membership, also by invitation, is available to external researchers and practitioners for three-year renewable terms. Associate members are expected to visit CARMA with some frequency, typically for a total of three to four weeks in a year, and to be involved in one or more ongoing research projects with CARMA members. CARMA is able to assist with the travel and living costs of such visits.