RECENT PUBLICATIONS

Crossing Numbers

1. Arrangements and the crossing number of Cm x Cn
   J. Combin. Theory, Ser. B 90 (2004), no. 1, 21 - 39
   (with J. Adamsson)

2. Crossing Numbers
   A survey, in Topics in Topological Graph Theory, L.W. Beineke and R. Wilson, eds
   (with G. Salazar)

3. The convex hull of every optimal pseudolinear drawing of Kn is a triangle
   Australas. J. Combin. 38 (2007), 155--162
   (with J. Balogh, J. Leaños, S. Pan, and G. Salazar)

4. Improved bounds for the crossing numbers of K{m,n} and Kn
   SIAM J. Discrete Math. 20 (2006), no. 1, 189--202
   (with E. de Klerk, J. Mahaffey, D.V. Pasechnik, and G. Salazar)

5. The crossing number of K(11) is 100
   J. Graph Theory 56 (2007), no. 2, 128--134
   (with S. Pan) (get code)

6. Crossing number of sequences of graphs II: planar tiles
   J. Graph Theory 42 (2003), no. 4, 332 - 341
   (with B. Pinontoan)

7. Crossing number of sequences of graphs I: general tiles
   Australas. J. Combin. 30 (2004), 197 - 206
   (with B. Pinontoan)

8. The crossing number of C6 x Cn
   Australas. J. Combin. 23 (2001) 135 - 143
   (with G. Salazar)

9. The crossing number of P(n,3)
   Graphs and Combinatorics 18 (2002) #2 381 - 394
   (with G. Salazar)

Surface Embeddings of Graphs

• Two highly representative maps on one surface
  J. Graph Theory 50 (2005), no. 3, 234 - 245
  (with G. Salazar)
• Embedding grids in surfaces
  European J. Combin. 25 (2004) no. 6, 785 - 792
  (with J.F. Geelen and G. Salazar)

• Cayley maps
  J. Combin. Theory, Ser. B 95 (2005), no. 2, 189 - 245
  (with J. Siran, R. Jajcay, T. Tucker and M. Watkins)

• Fold-2-covering triangular embeddings
  J. Graph Theory, 43 (2003), no. 2, 79 - 92
  (with D. Benard and A. Bouchet)

• On essential and inessential polygons in embedded graphs
  Journal of Combinatorial Theory Series B  84 (2002), no. 1, 100--117
  (with R.P. Vitray)

• Self-dual Cayley maps
  European Journal of Combinatorics 21 (2000), 419-430
  (with M. Anderson)

Topological Aspects and Infinite Graphs

• Sewing ribbons on graphs in space
  Journal of Combinatorial Theory Series B 86 (2002), no. 1, 1--26.
  (with D. Archdeacon, C.P. Bonnington and J. Siran)

• 3-connected planar spaces uniquely embed in the sphere
  Trans. Amer. Math. Soc. 354 (2002), no. 11, 4585--4595
  (with C. Thomassen)

• On planarity of compact, locally connected metric spaces
  submitted
  (with B. Rooney and C. Thomassen)

• Graphs embedded in the plane with boundedly many accumulation points
  J. Graph Theory 44 (2003), no. 2, 132 - 147
  (with C.P. Bonnington)

• Cycle spaces in topological spaces
  J. Graph Theory 59 (2008), no. 2, 115 - 144
  (with A. Vella)
• The bond and cycle spaces of an infinite graph
• J. Graph Theory 59 (2008), no. 2,
  (with K. Casteels)

• Relating different cycle spaces of the same infinite graph
• submitted,
  (with B. Rooney)

• The theorems of MacLane and Whitney for graph-like spaces
• Electron. J. Combin., to appear
  (with R. Christian and B. Rooney)

\nxt{R. Christian, R.B. Richter and B. Rooney, The theorems of MacLane and Whitney for graph-like spaces, to appear, {\it Electron.\ J.\ Combin.}}

• Decomposing infinite 2-connected graphs into 3-connected components
Electron. J. Combin. 11 (2004), Research Paper 25

• Between ends and fibers
  J. Graph Theory 54 (2007), no. 2, 125--153
  (with C.P. Bonnington and M.E. Watkins)

Miscellaneous

• Unique factorisation of additive induced-hereditary properties

Discussiones Mathematicae:   Graph Theory 24 (2004), 319 - 343
(with A. Farrugia)
 
• Graph minors:  important first steps and generalizing Kuratowski's Theorem