Research

Selected Referred Publications

Embedding Quartic Eulerian Digraphs on the Plane, to appear Australas. J. Combin., with D. Archdeacon and B. Mohar, 2016

Large-scale comparative visualisation of sets of multidimensional data. PeerJ Comput. Sci. 2:e88; DOI 10.7717/peerj-cs.88, with Dany Vohl et. al., 2016

Simulating the Dynamic Effect of Land Use and Transport Policies on the Health of Populations. American Journal of Public Health: April 2015, Vol. 105, No. S2, pp. S223-S229.doi: 10.2105/AJPH.2014.302303, with Roderick J. McClure et. al., 2015 

The Multi-modal Australian ScienceS Imaging and Visualisation Environment (MASSIVE) high performance computing infrastructure: applications in neuroscience and neuroinformatics research, Frontiers in Neuroinformatics, Volume 8, Article 30, with Wojtek James Goscinski et. al., 2014

Pinched Regular Maps, Australas. J. Combin., Vol 58(1), Pages 16-26, with D. Archdeacon and J. Siran, 2014

C. Paul Bonnington and Jamie Sneddon, A Note on Obstructions to Clustered Planarity, Elec. J. of Combinatorics, Vol. 18, Issue 1, P159, 2011

C. Paul Bonnington and Atsuhiro Nakamoto, Geometric Realization of a Triangulation on the Projective Plane with One Face Removed, Discrete and Computational Geometry, 40, 141–157, 2008

D. Archdeacon, C.P. Bonnington, and J.A. Ellis-Monaghan, How to exhibit toroidal maps in space, Discrete Comput. Geometry, 38, 573–594, 2007

C. Paul Bonnington, R. Bruce Richter and Mark E. Watkins, Between ends and fibers, J. Graph Theory, 54, 125-153, 2007

D. Archdeacon, C. Paul Bonnington and J. Siran, Halin’s Theorem for Cubic Graphs on an Annulus, Discrete Mathematics, 281, 13-25, 2004

D. Archdeacon and C. Paul Bonnington, Obstructions to the spindle surface and nearly planar graphs, J. Combin. Theory Ser. B, 91, 229-252, 2004

C. Paul Bonnington and T. Pisanski, On the orientable genus of the cartesian product of a complete regular tripartite graph with a even cycle, Ars Combin., 70, 301-307, 2004

C. Paul Bonnington, N. Hartsfield and J. Siran, Obstructions to directed embeddings of Eulerian digraphs in the plane, European J. Combin. 25, no. 6, 877–891, 2004

C. Paul Bonnington and M. Watkins, Planar Embeddings with Infinite Faces, J. Graph Theory, 42, (4), 257-275, 2003

C. Paul Bonnington, S. Klavzar and A. Lipovec, On cubic and edge-critical isometric subgraphs of hypercubes, Australas. J. Combin., 28, 217-224, 2003

D. Archdeacon, C. Paul Bonnington, M. Debowsky and M. Prestidge, Halin’s theorem for the mobius strip Ars Combin., 68, 243-256, 2003

C. Paul Bonnington and B. Richter, Graphs Embedded in the Plane with a Bounded Number of Accumulation Points, J. Graph Theory, 44, 132-147, 2003

D. Archdeacon, C. Paul Bonnington, B. Richter, and J. Siran, Sewing ribbons on Graphs in Space, J. Combin. Theory Ser. B, 86, 1-26, 2002

D. Archdeacon, C. Paul Bonnington, N. Dean, N. Hartsfield, and K. Scott, Obstruction Sets for Outer-Cylindrical Graphs, J. Graph Theory, 38, 42-64, 2001

D. Archdeacon, C. Paul Bonnington and J. Siran, Trading crossings for handles and crosscaps, J. Graph Theory, 38, 230-243, 2001

D. Archdeacon and C. Paul Bonnington, Two maps on one surface, J. Graph Theory, 36-4, 198-216, 2001

C. Paul Bonnington, T. Griggs, M. Grannell, and J. Siran, Exponential families of non-isomorphic triangulations of complete graphs, J. Combin. Theory Ser. B, 78, 169-184, 2000

C. Paul Bonnington and J. Siran, Bipartite labeling of trees with maximum degree three, Journal of Graph Theory, 31, 7-15, 1999

D. Archdeacon, C. Paul Bonnington and J. Siran, A Nebesky-type characteristation for relative maximum genus, J. Combin. Theory Ser. B, 73, 77-98, 1998

D. Archdeacon, C. Paul Bonnington, J. Pearson, and J. Siran, The Hadwiger number for the product of two cycles, Combinatorics, Complexity, Logic, Proceedings of DMTCS’96, S. Bridges, C. Calude, J. Gibbons, S. Reeves, I. Witten (ed.), Springer-Verlag, Singapore, 113-120, 1996

Geodesics in transitive graphs, J. Combin. Theory Ser. B, 67, 12-33, 1996 (with W. Imrich and N. Seifter)

The foundations of topological graph theory, Springer-Verlag, New York, New York, ISBN 0-387-94557-1, Oct, 1995 (with C.H.C. Little)

Separating double rays in locally infinite planar graphs, Discrete Math., 145, 61-72, 1995 (with W. Imrich and M. Watkins)

An algebraic characterization of planar graphs, J. Graph Theory, 19(2), 237-250, 1995 (with D. Archdeacon and C.H.C. Little)

The relative maximum genus of a graph, J. Combin. Theory Ser. B, 60, 195-206, 1994

A combinatorial generalisation of the Jordan curve theorem, Australas. J. Combin, 9, 1994 (with C.H.C. Little)

A generalisation of MacLane’s theorem to 3-graphs, Planar Graphs, volume 9 of DIMACS series in discrete mathematics and Mathematical Society, 17-36, 1993 (with C.H.C. Little)

Cycles, cocycles and diagonals: a characterization of planar graphs, Planar Graphs, volume 9 of DIMACS series in discrete mathematics and theoretical computer science, W. T. Trotter (ed.), American Mathematical Society, 1-3, 1993 (with D. Archdeacon and C.H.C. Little)

The classification of combinatorial surfaces using 3-graphsAustralas. J. Combin., 5, 87-102, 1993 (with C.H.C. Little)

Books

Foundations Of Topological Graph Theory, (coauthored with Dr Charles H. C. Little, Massey University) published by Springer-Verlag, October 1995. ISBN 0-387-94557-1

Selected Refereed Proceedings

Beitz, Anthony Errol; Bonnington, Paul; Androulakis, Steve; Yu, Simon; Saint, David, Institutional Infrastructure for Research Data Management, 7th International Conference on Open Repositories, 2012

Mason, W., Aben, G., Meijer, J., Richter, C., Bonnington, C., Moresi, L., Betts, P., 2010, Facilitating research collaboration in the Australian geoscience community using CloudStor, 2010 Sixth IEEE International Conference on e-science, IEEE Computer Society, Brisbane Australia, pp. 106-112.

C. Paul Bonnington, Greg Oates, Sheena Parnell, Judy Paterson and Wendy Stratton, A report on the use of tablet technology and screen recording software in tertiary mathematics courses. In A. D’Arcy-Warmington, V. Martinez Luaces, G. Oates and C. Varsavsky (Eds.), Vision and Change for a New Century, Proceedings of Calafate Delta’07: 6th Southern Hemisphere Conference on Mathematics and Statistics Teaching and Learning, pp.19-32

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