Graph Paper Art (Graph Art S.)

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Graph Paper Art (Graph Art S.)

Graph Paper Art (Graph Art S.)

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Knuth, Donald E. (2013), "Two thousand years of combinatorics", in Wilson, Robin; Watkins, John J. (eds.), Combinatorics: Ancient and Modern, Oxford University Press, pp.7–37 . Spectral layout methods use as coordinates the eigenvectors of a matrix such as the Laplacian derived from the adjacency matrix of the graph. [15] Dominance drawing places vertices in such a way that one vertex is upwards, rightwards, or both of another if and only if it is reachable from the other vertex. In this way, the layout style makes the reachability relation of the graph visually apparent. [21] Orthogonal layout methods, which allow the edges of the graph to run horizontally or vertically, parallel to the coordinate axes of the layout. These methods were originally designed for VLSI and PCB layout problems but they have also been adapted for graph drawing. They typically involve a multiphase approach in which an input graph is planarized by replacing crossing points by vertices, a topological embedding of the planarized graph is found, edge orientations are chosen to minimize bends, vertices are placed consistently with these orientations, and finally a layout compaction stage reduces the area of the drawing. [16]

Di Battista, Giuseppe; Eades, Peter; Tamassia, Roberto; Tollis, Ioannis G. (1998), Graph Drawing: Algorithms for the Visualization of Graphs, Prentice Hall, ISBN 978-0-13-301615-4 . Scott, John (2000), "Sociograms and Graph Theory", Social network analysis: a handbook (2nded.), Sage, pp.64–69, ISBN 978-0-7619-6339-4 . The area of a drawing is the size of its smallest bounding box, relative to the closest distance between any two vertices. Drawings with smaller area are generally preferable to those with larger area, because they allow the features of the drawing to be shown at greater size and therefore more legibly. The aspect ratio of the bounding box may also be important. Sugiyama, Tagawa & Toda (1981); Bastert & Matuszewski (2001); Di Battista et al. (1994), Chapter 9, "Layered Drawings of Digraphs", pp. 265–302.Tamassia, Roberto, ed. (2014), Handbook of Graph Drawing and Visualization, CRC Press, archived from the original on 2013-08-15 , retrieved 2013-08-28 . Eiglsperger, Markus; Fekete, Sándor; Klau, Gunnar (2001), "Orthogonal graph drawing", in Kaufmann, Michael; Wagner, Dorothea (eds.), Drawing Graphs, Lecture Notes in Computer Science, vol.2025, Springer Berlin / Heidelberg, pp.121–171, doi: 10.1007/3-540-44969-8_6, ISBN 978-3-540-42062-0 . Jünger, Michael; Mutzel, Petra (2004), Graph Drawing Software, Springer-Verlag, ISBN 978-3-540-00881-1 .

Tantau, Till (2013), "Graph Drawing in TikZ", Journal of Graph Algorithms and Applications, 17 (4): 495–513, doi: 10.7155/jgaa.00301 . The crossing number of a drawing is the number of pairs of edges that cross each other. If the graph is planar, then it is often convenient to draw it without any edge intersections; that is, in this case, a graph drawing represents a graph embedding. However, nonplanar graphs frequently arise in applications, so graph drawing algorithms must generally allow for edge crossings. [10] Di Battista et al. (1994), pp. vii–viii; Herman, Melançon & Marshall (2000), Section 1.1, "Typical Application Areas". Di Battista et al. (1994), Section 2.7, "The Force-Directed Approach", pp. 29–30, and Chapter 10, "Force-Directed Methods", pp. 303–326.It is important that edges have shapes that are as simple as possible, to make it easier for the eye to follow them. In polyline drawings, the complexity of an edge may be measured by its number of bends, and many methods aim to provide drawings with few total bends or few bends per edge. Similarly for spline curves the complexity of an edge may be measured by the number of control points on the edge. Herman, Ivan; Melançon, Guy; Marshall, M. Scott (2000), "Graph Visualization and Navigation in Information Visualization: A Survey", IEEE Transactions on Visualization and Computer Graphics, 6 (1): 24–43, doi: 10.1109/2945.841119 .

Published in Grandjean, Martin (2014). "La connaissance est un réseau". Les Cahiers du Numérique. 10 (3): 37–54. doi: 10.3166/lcn.10.3.37-54. Archived from the original on 2015-06-27 . Retrieved 2014-10-15.Graphviz and Dynagraph – Static and Dynamic Graph Drawing Tools", by John Ellson, Emden R. Gansner, Eleftherios Koutsofios, Stephen C. North, and Gordon Woodhull, in Jünger & Mutzel (2004). Mathematica, a general purpose computation tool that includes 2D and 3D graph visualization and graph analysis tools. [29] [30] Sociograms, drawings of a social network, as often offered by social network analysis software [22] Koren, Yehuda (2005), "Drawing graphs by eigenvectors: theory and practice", Computers & Mathematics with Applications, 49 (11–12): 1867–1888, doi: 10.1016/j.camwa.2004.08.015, MR 2154691 . Anderson, James Andrew; Head, Thomas J. (2006), Automata Theory with Modern Applications, Cambridge University Press, pp.38–41, ISBN 978-0-521-84887-9 .



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