# RESEARCH

CARMA renewed until 2020: read our presentation here

# EVENTS

TOMORROW

#### CARMA Seminar

"Einstein, Bach and the Taj Mahal: Symmetry in the Arts, Sciences and Humanities"
Dr David Banney

4:00 pm, Thu, 22nd Aug 2019
VG10, Mathematics Building

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

# NEWS

#### Philipp Braun wins best poster at AMSI Optimise

CARMA member Philipp Braun has won the best poster prize at this year's AMSI Optimise conference for his poster (with Chris Kellett and Steve Weller) on "Climate Economics on the Example of the DICE Model: An Optimal Control Perspective". Congratulations!

#### UoN mathematics recognised in ERA

Mathematics at UoN has again performed well in the ERA survey, with applied maths and statistics receiving ratings of 5 ("well above world standard"), and pure maths a rating of 4 ("above world standard"). Full results can be seen on the ARC's data portal.

#### CARMA dominating Mahony-Neumann-Room Prize for best ANZIAM paper

The 2018 winner of the Mahony—Neumann—Room prize for best paper in the ANZIAM Journal was two papers and one was by F. Aragon Artacho, J. Borwein and M. Tam for one of their 2014 papers. All three authors were members of CARMA at the time! Michael ... [READ MORE]

#### Promotion success

More promotion success this year, with long-time members Jeff Hogan and Michael Coons being promoted to associate professor. Congratulations!

# HIGHLIGHTS

Selected paper from DocServer
James A. MacDougall, I. D. Gray, W. D. Wallis, R. J. Simpson

ABSTRACT

A vertex-magic total labeling on a graph $G$ is a one-to-one map $\lambda$ from $V (G) \cup E(G)$ onto the integers 1, 2, . . . , $\mid V (G) \cup E(G)\mid$ with the property that, given any vertex $x, \lambda(x) +\Sigma_y\sim x \lambda(y) = k$ for some constant $k$. In this paper we completely determine which complete bipartite graphs have vertex-magic total labelings.

# 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.