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Dr James ( Jim ) Macdougall

Work Phone (02) 4921 6792
Fax (02) 4921 6898
Email
Office V233, Mathematics

Highlighted Publications

Year Citation Link
2006 Chisholm Catherine Rachel, MacDougall James Arthur, 'Rational and Heron tetrahedra', Journal of Number Theory, 121 153-185 (2006) [C1] Nova
2002 MacDougall James Arthur, Miller M, Wallis W, Slamin ?, 'Vertex-Magic Total Labelings of Graphs', Utilitas Mathematica, 61 3-21 (2002) [C1]
2002 Eggleton Roger Benjamin, MacDougall James Arthur, 'Minimally triangle-saturated graphs: adjoining a single vertex', Australasian Journal of Combinatorics, 25 263-278 (2002) [C1] Nova
2002 Sweet L G, MacDougall James Arthur, 'A decomposition theorem for homogeneous algebras', Journal of the Australian Mathematical Society, 72 47-56 (2002) [C1]
2008 Buchholz Ralph H, MacDougall James Arthur, 'Cyclic polygons with rational sides and area', Journal of Number Theory, 128 17-48 (2008) [C1] Nova
2000 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]

Publications

For items published while at an institution other that the University of Newcastle, details are shown in italics.

Click on a category title below to expand the list of citations for that specific category.

Journal Articles (50 outputs)

Refereed Article in a Scholarly Journal (C1) (48 outputs)

Year Citation Link
2012 Eggleton Roger Benjamin, Kimberley Jason Scott, MacDougall James Arthur, 'Runs of integers with equally many distinct prime factors', Bulletin of the Institute of Combinatorics and its Applications, 64 30-38 (2012) [C1]
2012 Gray Ian Douglas, MacDougall James Arthur, 'Vertex-magic labeling of regular graphs: Disjoint unions and assemblages', Discrete Applied Mathematics, 160 1114-1125 (2012) [C1]
2012 Kimberley Jason Scott, MacDougall James Arthur, 'Mutation of vertex-magic regular graphs', Journal of Combinatorial Mathematics and Combinatorial Computing, 82 157-177 (2012) [C1]
2012 MacDonald G W, MacDougall James Arthur, Sweet L G, 'On the dimension of linear spaces of nilpotent matrices', Linear Algebra and Its Applications, 436 2210-2230 (2012) [C1]
2012 MacDougall James Arthur, Sweet L G, 'Rational homogeneous algebras', Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques, 55 351-354 (2012) [C1]
2011 Kimberley Jason Scott, MacDougall James Arthur, 'All regular graphs of small odd order are vertex-magic', Australasian Journal of Combinatorics, 51 175-199 (2011) [C1]
2010 Gray Ian Douglas, MacDougall James Arthur, 'Vertex-magic labelling of non-regular graphs', Australasian Journal of Combinatorics, 46 173-183 (2010) [C1] Nova
2010 Mohr Steve Hendrik, MacDougall James Arthur, 'Integral Trees of Diameter 4', AKCE International Journal of Graphs and Combinatorics, 7 171-188 (2010) [C1] Nova
2009 Adams Peter, Eggleton Roger Benjamin, MacDougall James Arthur, 'Graphs which are linked cycles', Congressus Numerantium, 195 75-83 (2009) [C1] Nova
2009 Eggleton Roger Benjamin, Adams Peter, MacDougall James Arthur, 'Graphs which are linked structures', Congressus Numerantium, 199 75-88 (2009) [C1] Nova
2009 Gray Ian Douglas, MacDougall James Arthur, 'Vertex-magic labelings of regular graphs II', Discrete Mathematics, 309 5986-5999 (2009) [C1] Nova
2009 Gray Ian Douglas, MacDougall James Arthur, 'Vertex-magic labelings: Mutations', Australasian Journal of Combinatorics, 45 189-206 (2009) [C1] Nova
2009 Sweet L G, MacDougall James Arthur, 'The maximum dimension of a subspace of nilpotent matrices of index 2', Linear Algebra and Its Applications, 431 1116-1124 (2009) [C1] Nova
2008 Buchholz Ralph H, MacDougall James Arthur, 'Cyclic polygons with rational sides and area', Journal of Number Theory, 128 17-48 (2008) [C1] Nova
2008 Chisholm Catherine Rachel, MacDougall James Arthur, 'Rational tetrahedra with edges in geometric progression', Journal of Number Theory, 128 251-262 (2008) [C1] Nova
2008 Eggleston Roger B, MacDougall James Arthur, 'Consecutive integers with equally many principal divisors', Mathematics Magazine, 81 235-248 (2008) [C1] Nova
2008 MacDougall James Arthur, Wallis W D, 'Strong edge-magic graphs of maximum size', Discrete Mathematics, 308 2756-2763 (2008) [C1] Nova
2006 Adams P D, Eggleton R G, MacDougall James Arthur, 'Graphs with a given degree sequence', Congressus Numerantium, 179 15-31 (2006) [C1] Nova
2006 Adams P D, Eggleton R G, MacDougall James Arthur, 'Taxonomy of Graphs of Order 10', Congressus Numerantium, 180 65-80 (2006) [C1] Nova
2006 Chisholm Catherine Rachel, MacDougall James Arthur, 'Rational and Heron tetrahedra', Journal of Number Theory, 121 153-185 (2006) [C1] Nova
2006 Gray Ian Douglas, MacDougall James Arthur, 'Sparse anti-magic squares and vertex-magic labelings of bipartite graphs', Discrete Mathematics, 306 2878-2892 (2006) [C1] Nova
2006 Gray Ian Douglas, MacDougall James Arthur, 'Sparse semi-magic squares and vertex-magic labelings', Ars Combinatoria, 80 225-242 (2006) [C1]
2006 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]
2005 Chisholm Catherine Rachel, MacDougall James Arthur, 'Rational tetrahedra with edges in arithmetic progression', Journal of Number Theory, 111 57-80 (2005) [C1] Nova
2004 MacDougall James Arthur, 'A generalisation of the Copair Construction for triangle-saturated graphs', Utilitas Mathematica, 66 239-247 (2004) [C1]
2004 P Adams, Eggleton Roger Benjamin, MacDougall James Arthur, 'Degree sequences and poset structure of order 9 graphs', Congressus Numerantuium, 166 83-95 (2004) [C1] Nova
2004 P Adams, Eggleton Roger Benjamin, MacDougall James Arthur, 'Structure of graph posets for orders 4 to 8', Congressus Numerantium, 166 63-81 (2004) [C1]
2003 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]
2003 Baca Martin, Bertault Francois Alain, MacDougall James Arthur, Miller Mirka, Simanjuntak Rinovia M G, Slamin, 'Vertex-Antimagic total labelings of graphs', Discussiones Mathematicae Graph Theory, 23 67-83 (2003) [C1]
2003 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]
2003 Eggleton Roger Benjamin, MacDougall James Arthur, 'Graph Posets, Spanning-Universal Graphs and Graph Coverings', Bulletin of the ICA, 37 63-72 (2003) [C1]
2003 Gray Id, MacDougall James Arthur, Wallis Walter Denis, 'On Vertex-Magic Labeling of Complete Graphs', Bulletin of the ICA, 38 42-44 (2003) [C1]
2003 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]
2003 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]
2003 MacDougall James Arthur, 'Heron Triangles with Sides in Arithmetic Progression', Journal of Recreational Mathematics, 31 189-196 (2003) [C1]
2003 MacDougall James Arthur, 'Mersenne Composites and Cyclotomic Primes', Mathematical Gazette, 87 71-75 (2003) [C1]
2003 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]
2002 Eggleton Roger Benjamin, MacDougall James Arthur, 'Minimally triangle-saturated graphs: adjoining a single vertex', Australasian Journal of Combinatorics, 25 263-278 (2002) [C1] Nova
2002 MacDougall James Arthur, Miller M, Wallis W, Slamin ?, 'Vertex-Magic Total Labelings of Graphs', Utilitas Mathematica, 61 3-21 (2002) [C1]
2002 MacDougall James Arthur, Miller M, Wallis Walter Denis, 'Vertex-magic total labelings of wheels and related graphs', Utilitas Mathematica, 62 175-183 (2002) [C1]
2002 Sweet L G, MacDougall James Arthur, 'A decomposition theorem for homogeneous algebras', Journal of the Australian Mathematical Society, 72 47-56 (2002) [C1]
2001 Eggleton Roger Benjamin, MacDougall James Arthur, 'Minimally Star-Saturated Graphs', Congressus Numerantium, 149 161-176 (2001) [C1]
2000 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]
2000 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]
1999 Boswell Sg, Eggleton Roger Benjamin, MacDougall James Arthur, 'Minimally path-saturated graphs', Congressus Numerantium, 138 (1999) 97-117 (1999) [C1]
1999 Buchholz R H, MacDougall James Arthur, 'Heron Quadrilaterals with sides in arithmetic or geometric progression', Bull. Austral. Math. Soc., 59 263-269 (1999) [C1] Nova
1999 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]
1998 Eggleton R B, MacDougall James Arthur, 'Almost $K_m$-saturated graphs', Congressus Numerantium, 131 187-203 (1998) [C1]
Show 45 more

Letter or Note (C4) (2 outputs)

Year Citation Link
2001 MacDougall James Arthur, 'Midhat Gazale, Number: From Ahmes to Cantor', The Physicist, 38 1 (2001) [C4]
2001 MacDougall James Arthur, 'W.D. Wallis, Magic Graphs', Australian Mathematical Society Gazette, 28 275-276 (2001) [C4]

Conference Publication (2 outputs)

Full Written Paper - Refereed (E1) (1 outputs)

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

Extract of Paper (E3) (1 outputs)

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