First Sentence:
A graph consists of a set of vertices and a set of edges, each joining two vertices.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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critical separation pair, forbidden separation pair, triangulated plane graph, convex drawing, pertinent subtree, rectangular drawing, feasible octagon, prime separation pair, convex grid drawing, four outer vertices, plane cubic graph, orthogonal grid drawing, planar graph drawing, straight line grid drawing, outer convex polygon, slicing graph, three outer vertices, plane subgraph, same vertical grid line, facial cycle, orthogonal drawing, algorithms for drawing planar graphs, rectangular grid drawing, designated vertices, open halfline
Key Phrases - Capitalized Phrases (CAPs):
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Planar Graph Drawing, Bibliographic Notes, Algorithm Convex-Grid-Drawing, Algorithm Draw-Triangle, Algorithm Canonical-Ordering, Algorithm Orthogonal-Draw, Algorithm Realizer-Drawing, Process of Upward-Embed
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