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: Drawing Graphs as Celtic Knots and Linksterconnectedness. This paper describes the framework . to draw graphs as Celtic knots and links. The drawing process raises interesting combinatorial concepts in the theory of circuits in planar graphs. Further, . uses a novel algorithm to represent edges as Bézier curves, aiming to show each link as a smooth curve with limited curvature.
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Minimizing an Uncrossed Collection of Drawingsrawings in a collection, satisfying the uncrossed property. Second, the ., minimizes the total number of crossings in the collection that satisfy the uncrossed property. For both definitions, we establish initial results. We prove that the uncrossed crossing number is NP-hard, but there is an . algo
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On 3-Coloring Circle Graphsan) for details..In this paper we argue that Unger’s algorithm for 3-coloring circle graphs is not correct and that 3-coloring circle graphs should be considered as an open problem. We show that step (1) of Unger’s algorithm is incorrect by exhibiting a circle graph whose formula . is satisfiable bu
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