Reading group in graph algorithms
Papers (in reverse chronological order):
- Representing edge intersection graphs of paths on degree 4 trees. (Elad).
M. Golumbic, M. Lipshteyn, M. Stern. Discrete Mathematics 308 (8), pp. 1381-1387, 2008.
-
Splitting planar graphs into 3 forests, one of which has bounded degree.. (Therese)
D. Goncalves, J. COmb. Theory B 99 (2009), 314-322.
- Hexagonal Grid Drawings (all of us):
This one will be relevant to drawing 3-graphs with integer edge
lengths. We should all read it. G. Kant, Hexagonal Grid Drawings, WG '92.
- Maximum planar subgraphs (Terry):
Terry will give some results about hardness of the maximum planar subgraph
problems; a web page with references is
here.
- Drawings with integer edge lengths (Elena):
J. Geelen, A. Guo and D. McKinnon,
J. Graph Theory 58 (3), pp. 270-274, April 2008.
- Wooden Geometric Puzzles (Therese):
H. Alt, H. Bodlaneder, M. van Kreveld, G. Rote, G. Tel,
Theory of Computing Systems vol. 44, no.2, February 2009.
- Drawing Hypergraphs (Michal):
M. Kaufmann, M. van Krevel and B. Speckmann,
Subdivision Drawings of Hypergraphs.
Proceedings of Graph Drawing 2008, LNCS 5417, 2009.
- Drawing (Complete) Binary Tanglegrams (Ruth):
K. Buchin et al.,
Proceedings of Graph Drawing 2008, LNCS 5417, pp. 324-335, 2009.
- SPQR-trees (Terry):
G. Di Battista and R. Tamassia,
On-line Maintenance of triconnected components with SPQR-trees,
Algorithmica 15 (4), April 1996, pp. 302-318.
- Every planar graph is 5-choosable (Elena):
C. Thomassen, J. Combinatorial Theory Series B, vol. 62, no. 1, pp. 180-181,
1994.
- Moving vertices to make drawings plane (Therese):
Goaoc, Kratochvil, Okamoto, Shin and Wolff, Graph Drawing 2007.
- 3D drawings
DiGiacomo et al: Straight-line 3D grid drawings with linear volume, CGTA 2005.
Biedl,Thiele,Wood: 3D orthogonal graph drawing with optimal volume, Algorithmica 2006
-
High-degree orthogonal drawings
Foessmeier, Kaufmann, GD 1995.
Biedl, Kaufmann, ESA 1997.
-
Orthogonal drawings via small separators.
Leiserson: Area-efficient representations for VLSI
- Orthogonal drawings: vertex-addition approach
Biedl/Kant: A better heuristic for orthogonal graph drawings. CGTA 1996
Biedl: Lower bounds on orthogonal graph drawings, JGAA 1998
-
Orthogonal drawings: bend-optimality via flow networks
Tamassia: Bend-optimal orthogonal drawings of planar graphs, SIAM J. Computing
1987.
-
Drawing SP-graphs.
Bertolazzi et al., Drawings of series-parallel graphs, IJCGA 1994.
(The above link is the conference version, the
journal
version doesn't seem to be accessible electronically, but is in
the library.)
Biedl: Small area-drawings of series-parallel graphs (CS-2007-23)
Frati: Drawing outerplanar graphs in O(dn log n) area (CCCG 07)
Frati: Lower bounds for drawing series-parallel graphs (WG 08)
- Planar straightline drawings of planar graphs via trees.
Schnyder, Embedding Planar Graphs on the Grid, SODA 1990.
Fusy,
Transversal Structures on Triangulations, with Application to
Straight-Line Drawing. Graph Drawing 2005: 177-188
(There is also a journal version to appear.)
- Planar straight-line drawings of planar graphs via canonical ordering.
de Fraysseix, Pach, Pollack, Drawing planar graphs on a grid,
Algorithmica 1990.
Kant, Drawing graphs using the canonical ordering. Algorithmica, 1992