On the optimal layout of planar graphs with fixed boundary
SIAM Journal on Computing
Graph drawing by force-directed placement
Software—Practice & Experience
A linear-time algorithm for drawing a planar graph on a grid
Information Processing Letters
Drawing graphs nicely using simulated annealing
ACM Transactions on Graphics (TOG)
Convex drawings of graphs in two and three dimensions (preliminary version)
Proceedings of the twelfth annual symposium on Computational geometry
Embedding planar graphs on the grid
SODA '90 Proceedings of the first annual ACM-SIAM symposium on Discrete algorithms
Computing a canonical polygonal schema of an orientable triangulated surface
SCG '01 Proceedings of the seventeenth annual symposium on Computational geometry
A multi-dimensional approach to force-directed layouts of large graphs
Computational Geometry: Theory and Applications - Special issue on the 10th fall workshop on computational geometry
Greedy Drawings of Triangulations
Discrete & Computational Geometry
Planar drawings of higher-genus graphs
GD'09 Proceedings of the 17th international conference on Graph Drawing
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We study the classic graph drawing problem of drawing a planar graph using straight-line edges with a prescribed convex polygon as the outer face. Unlike previous algorithms for this problem, which may produce drawings with exponential area, our method produces drawings with polynomial area. In addition, we allow for collinear points on the boundary, provided such vertices do not create overlapping edges. Thus, we solve an open problem of Duncan et al., which, when combined with their work, implies that we can produce a planar straight-line drawing of a combinatorially-embedded genus-g graph with the graph's canonical polygonal schema drawn as a convex polygonal external face.