First Sentence:
We say that an undirected graph G(V, E) without loops or parallel edges is drawn in the plane if each vertex v V is represented by a distinct point and each edge e E is represented by a Jordan arc connecting the points corresponding to endpoints of e.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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grid intersection graphs, forced vertex, adaptive layout algorithm, hexagonal realization, unimaximal subsequence, numbering testing, triangulated plane graph, upward numbering, touching graphs, graphs nicely using simulated annealing, contact graphs, graph drawing aesthetics, upward planarity testing, proper local minimum, algorithmic paths, graph drawing systems, manhattan layout, improving swap, pairwise crossing edges, hull tree, orthogonal graph drawings, heuristic for graph drawing, interactive graph drawing, proximity drawability, drawing general undirected graphs
Key Phrases - Capitalized Phrases (CAPs):
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Lecture Notes, New York, Graph Layout Toolkit, New Jersey, Diagram Server, International Workshop, Discrete Math, Tom Sawyer Software, Congressus Numerantium, Bary Median Stoch Gre-ins Gre-swi Split, Combinatorial Model, University of Newcastle, Academic Press, Brown University, City University, Combinatorial Theory, National Science Foundation, University of Queensland, Springer Verlag, Theory of Computing, Theory Ser, University of British Columbia, Cambridge University Press, David Krackhardt, Discrete Comput
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