The University of Newcastle, Researcher report.

Researcher: Dr James MacDougall
Preferred name: Jim
School: School of Mathematical and Physical Sciences
Commenced with Institution: 22-JUL-1987
Personal URL:

Funded Projects

Please note, only grants administered through the University of Newcastle Research Office are recorded here. For a more complete picture of the researcher's grant history a Personal URL may be supplied, above.

Research Team Initial Year Duration (Years) Funding Body/Client Award Type Title of Project Collaborating Partners Total Cash $ Total Inkind $
Dr James MacDougall 2008 1 University of Newcastle Travel - Travel Grant Canadian Number Theory Associaton X Meeting, Waterloo, Canada, 13/7/2008 - 18/7/2008   2500  
Dr James MacDougall 2004 1 University of Newcastle Travel - Travel Grant The 29th Australasian Conference in Combinatorial Mathematics and Combinatorial Computing, 13-18 December 2004, NZ   720  
Dr James MacDougall;Professor Mirka Miller 2003 1 University of Newcastle Project - Project Grant Magic and antimagic graph labellings.   10000  
Dr James MacDougall 2002 1 University of Newcastle Travel - Travel Grant DIMACS, USA, 14-19 July 2002   2400  
Dr James MacDougall 2001 1 University of Newcastle Project - Early Career Researcher Grant Preliminary Study of the Ideal Structure of the Subgraph Lattice   5879  
Dr James MacDougall 2000 1 University of Newcastle Project - Early Career Researcher Grant A study of graphs which are saturated with respect to star subgraphs.   2600  
Dr James MacDougall 1999 1 University of Newcastle Visit(or)/Exchange - Visitor Grant Prof Walter Wallis Visitor - 20/11/1999 to 16/12/2000.   4880  
Dr James MacDougall;Professor Roger Eggleton 1998 1 University of Newcastle Visit(or)/Exchange - Visitor Grant VISIT - MACDOUGAL - R.B. EGGLETON - ILLINOIS STATE UNI - 16/05-15/08   5150  

Student Completions

NB - the completions shown here are only those for the University of Newcastle obtained since 2001.

Program Year Research Topic
M Mathematics [R] 2005 Rational and Heron Tetrahedra
M Mathematics [R] 2006 Nice Polynomials with Nice Derivatives
PhD (Mathematics) 2007 Construction Methods for Vertex-Magic Total Labelings of Graphs
PhD (Mathematics) 2007 Graph Labelling and Decomposition

Research Publications

Please note, the publications listed here:
(1) relate to the researcher's position at the University of Newcastle only
(2) are for selected categories of publications, and
(3) relate to publication year 1998, onwards.
For a more complete picture of the researcher's publication history a Personal URL may be supplied at the top of this page.

Journal Article

Buchholz Ralph H, MacDougall James Arthur, ’Cyclic polygons with rational sides and area’, Journal of Number Theory, 128 17-48 (2008) [C1]

Chisholm Catherine Rachel, MacDougall James Arthur, ’Rational tetrahedra with edges in geometric progression’, Journal of Number Theory, 128 251-262 (2008) [C1]

MacDougall James Arthur, Wallis W D, ’Strong edge-magic graphs of maximum size’, Discrete Mathematics, 308 2756-2763 (2008) [C1]

Adams P D, Eggleton R G, MacDougall James Arthur, ’Graphs with a given degree sequence’, Congressus Numerantium, 179 15-31 (2006) [C1]

Chisholm Catherine Rachel, MacDougall James Arthur, ’Rational and Heron tetrahedra’, Journal of Number Theory, 121 153-185 (2006) [C1]

Gray Ian Douglas, MacDougall James Arthur, ’Sparse anti-magic squares and vertex-magic labelings of bipartite graphs’, Discrete Mathematics, 306 2878-2892 (2006) [C1]

Gray Ian Douglas, MacDougall James Arthur, ’Sparse semi-magic squares and vertex-magic labelings’, Ars Combinatoria, 80 225-242 (2006) [C1]

Adams P D, Eggleton R G, MacDougall James Arthur, ’Taxonomy of Graphs of Order 10’, Congressus Numerantium, 180 65-80 (2006) [C1]

Miller Mirka, Baca Martin, MacDougall James Arthur, ’Vertex-magic Total Labeling of Generalized Petersen Graphs and Convex Polytopes’, Journal of Combinatorial Mathematics and Combinatorial Computing, 59 89-99 (2006) [C1]

Chisholm Catherine Rachel, MacDougall James Arthur, ’Rational tetrahedra with edges in arithmetic progression’, Journal of Number Theory, 111 57-80 (2005) [C1]

MacDougall James Arthur, ’A generalisation of the Copair Construction for triangle-saturated graphs’, Utilitas Mathematica, 66 239-247 (2004) [C1]

P Adams, Eggleton Roger Benjamin, MacDougall James Arthur, ’Degree sequences and poset structure of order 9 graphs’, Congressus Numerantuium, 166 83-95 (2004) [C1]

P Adams, Eggleton Roger Benjamin, MacDougall James Arthur, ’Structure of graph posets for orders 4 to 8’, Congressus Numerantium, 166 63-81 (2004) [C1]

Adams Peter, Eggleton Roger Benjamin, MacDougall James Arthur, Mahmoodian E S, ’Corrections to Steinbach's Posets of Graphs (Orders 5, 6, 7)’, Bulletin of the ICA, 37 29-34 (2003) [C1]

Eggleton Roger Benjamin, MacDougall James Arthur, ’Graph Posets, Spanning-Universal Graphs and Graph Coverings’, Bulletin of the ICA, 37 63-72 (2003) [C1]

MacDougall James Arthur, ’Heron Triangles with Sides in Arithmetic Progression’, Journal of Recreational Mathematics, 31 189-196 (2003) [C1]

Daven Mike, MacDougall James Arthur, Rodger Ca, ’Maximal Sets of Hamilton Cycles in Complete Multipartite Graphs’, Journal of Graph Theory, 43 49-66 (2003) [C1]

MacDougall James Arthur, ’Mersenne Composites and Cyclotomic Primes’, Mathematical Gazette, 87 71-75 (2003) [C1]

Gray Id, MacDougall James Arthur, Wallis Walter Denis, ’On Vertex-Magic Labeling of Complete Graphs’, Bulletin of the ICA, 38 42-44 (2003) [C1]

MacDougall James Arthur, Wallis Walter Denis, ’Strong edge-magic labelling of a cycle with a chord’, Australasian Journal of Combinatorics, 28 245-255 (2003) [C1]

Baca Martin, Bertault Francois, MacDougall James Arthur, Miller Mirka, Simanjuntak Rinovia, Slamin, ’Vertex-Antimagic Total Labelings of Graphs’, Discussiones Mathematicae Graph Theory, 23 67-83 (2003) [C1]

Gray Ian Douglas, MacDougall James Arthur, Simpson R J, Wallis W D, ’Vertex-Magic Total Labelings of Complete Bipartite Graphs’, Ars Combinatoria, 69 117-127 (2003) [C1]

Gray Ian Douglas, MacDougall James Arthur, McSorley J P, Wallis W, ’Vertex-magic total labelings of trees and forests’, Discrete Mathematics, 261 285-298 (2003) [C1]

Sweet L G, MacDougall James Arthur, ’A decomposition theorem for homogeneous algebras’, Journal of the Australian Mathematical Society, 72 47-56 (2002) [C1]

Eggleton Roger Benjamin, MacDougall James Arthur, ’Minimally triangle-saturated graphs: adjoining a single vertex’, Australasian Journal of Combinatorics, 25 263-278 (2002) [C1]

MacDougall James Arthur, Miller M, Wallis W, Slamin ?, ’Vertex-Magic Total Labelings of Graphs’, Utilitas Mathematica, 61 3-21 (2002) [C1]

MacDougall James Arthur, Miller M, Wallis Walter Denis, ’Vertex-magic total labelings of wheels and related graphs’, Utilitas Mathematica, 62 175-183 (2002) [C1]

MacDougall James Arthur, ’Midhat Gazale, Number: From Ahmes to Cantor’, The Physicist, 38 1 (2001) [C4]

Eggleton Roger Benjamin, MacDougall James Arthur, ’Minimally Star-Saturated Graphs’, Congressus Numerantium, 149 161-176 (2001) [C1]

MacDougall James Arthur, ’W.D. Wallis, Magic Graphs’, Australian Mathematical Society Gazette, 28 275-276 (2001) [C4]

Baca M, MacDougall James Arthur, Miller M, Wallis Walter Denis, Slamin ?, ’Survey of certain valuations of graphs’, Discussiones Mathematicae: Graph Theory, 20 219-229 (2000) [C1]

MacDougall James Arthur, Buchholz R H, ’When Newton met Diophantus: A Study of Rational-Derived Polynomials and Their Extension to Quadratic Fields’, Journal of Number Theory, 81 210-233 (2000) [C1]

MacDougall James Arthur, Mullen G L, ’A Note on BIB Designs with Nested Rows and Columns’, Australasian Journal of Combinatorics, 20 257-259 (1999) [C1]

Buchholz R H, MacDougall James Arthur, ’Heron Quadrilaterals with sides in arithmetic or geometric progression’, Bull. Austral. Math. Soc., 59 263-269 (1999) [C1]

Boswell Sg, Eggleton Roger Benjamin, MacDougall James Arthur, ’Minimally path-saturated graphs’, Congressus Numerantium, 138 (1999) 97-117 (1999) [C1]

Eggleton R B, MacDougall James Arthur, ’Almost $K_m$-saturated graphs’, Congressus Numerantium, 131 187-203 (1998) [C1]

Conference Publication

MacDougall James Arthur, Gray Ian Douglas, ’Sparse magic & anti-magic squares and magic labellings of graphs’, Programme and Abstracts, Taupo, New Zealand (2004) [E3]

MacDougall James Arthur, M Miller, K A Sugeng, ’Super Vertex-magic Total Labellings of Graphs’, Proceedings, Ballina, NSW (2004) [E1]

Skills

Key Words

Countries

Languages

Return to Search page