Academic literature on the topic 'Graph drawing'
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Journal articles on the topic "Graph drawing"
EADES, PETER, XUEMIN LIN, and ROBERTO TAMASSIA. "AN ALGORITHM FOR DRAWING A HIERARCHICAL GRAPH." International Journal of Computational Geometry & Applications 06, no. 02 (June 1996): 145–55. http://dx.doi.org/10.1142/s0218195996000101.
Full textBRIDGEMAN, STINA, ASHIM GARG, and ROBERTO TAMASSIA. "A GRAPH DRAWING AND TRANSLATION SERVICE ON THE WORLD WIDE WEB." International Journal of Computational Geometry & Applications 09, no. 04n05 (August 1999): 419–46. http://dx.doi.org/10.1142/s021819599900025x.
Full textIqbal Hossain, Md, and Md Saidur Rahman. "Straight-line monotone grid drawings of series–parallel graphs." Discrete Mathematics, Algorithms and Applications 07, no. 02 (May 25, 2015): 1550007. http://dx.doi.org/10.1142/s179383091550007x.
Full textKang, Ming-Hsuan, and Jing-Wen Gu. "Toroidal Spectral Drawing." Axioms 11, no. 3 (March 16, 2022): 137. http://dx.doi.org/10.3390/axioms11030137.
Full textBIEDL, THERESE C., BRENDAN P. MADDEN, and IOANNIS G. TOLLIS. "THE THREE-PHASE METHOD: A UNIFIED APPROACH TO ORTHOGONAL GRAPH DRAWING." International Journal of Computational Geometry & Applications 10, no. 06 (December 2000): 553–80. http://dx.doi.org/10.1142/s0218195900000310.
Full textBertolazzi, P., G. Di Battista, and G. Liotta. "Parametric graph drawing." IEEE Transactions on Software Engineering 21, no. 8 (1995): 662–73. http://dx.doi.org/10.1109/32.403790.
Full textDEHKORDI, HOOMAN REISI, and PETER EADES. "EVERY OUTER-1-PLANE GRAPH HAS A RIGHT ANGLE CROSSING DRAWING." International Journal of Computational Geometry & Applications 22, no. 06 (December 2012): 543–57. http://dx.doi.org/10.1142/s021819591250015x.
Full textMIURA, KAZUYUKI, SHIN-ICHI NAKANO, and TAKAO NISHIZEKI. "CONVEX GRID DRAWINGS OF FOUR-CONNECTED PLANE GRAPHS." International Journal of Foundations of Computer Science 17, no. 05 (October 2006): 1031–60. http://dx.doi.org/10.1142/s012905410600425x.
Full textLiotta, Giuseppe, and Henk Meijer. "Advances in graph drawing: The 11th International Symposium on Graph Drawing." Discrete Applied Mathematics 155, no. 9 (May 2007): 1077. http://dx.doi.org/10.1016/j.dam.2006.10.002.
Full textA. Antony mary, A., A. Amutha, and M. S. Franklin Thamil Selvi. "A Study on Slope Number of Certain Classes of Bipartite Graphs." International Journal of Engineering & Technology 7, no. 4.10 (October 2, 2018): 440. http://dx.doi.org/10.14419/ijet.v7i4.10.21036.
Full textDissertations / Theses on the topic "Graph drawing"
Suderman, Matthew. "Layered graph drawing." Thesis, McGill University, 2005. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=86054.
Full textAs a first very drastic restriction, we consider layered drawings that are planar. Even with this restriction, however, the resulting problems can still be NP -hard. In addition to proving one such hardness result, we do succeed in deriving efficient algorithms for two problems. In both cases, we correct previously published results that claimed extremely simple and efficient algorithmic solutions to these problems. Our solutions, though efficient as well, show that the truth about these problems is significantly more complex than the published results would suggest.
We also study non-planar layered drawings, particularly drawings obtained by crossing minimization and minimum planarization. Though the corresponding problems are NP -hard, they become tractable when the value to be minimized is upper-bounded by a constant. This approach to obtaining tractable problems is formalized in a theory called parameterized complexity, and the resulting tractable problems and algorithmic solutions are said to be fixed-parameter tractable ( FPT ). Though relatively new, this theory has attracted a rapidly growing body of theoretical results. Indeed, we derive original FPT algorithms with the best-known asymptotic running times for planarization in two layer drawings.
Because parameterized complexity is so new, little is known about its implications to the practice of graph drawing. Consequently, we have implemented a few FPT algorithms and compared them experimentally with previously implemented approaches, especially integer linear programming (ILP). Our experiments show that the performance of our FPT planarization algorithms are competitive with current ILP algorithms, but that, for crossing minimization, current ILP algorithms remain the clear winners.
Puppe, Thomas. "Spectral graph drawing." [S.l. : s.n.], 2005. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB11759114.
Full textSchulz, Michael. "Simultaneous graph drawing." Tönning Marburg Lübeck Der Andere Verl, 2008. http://d-nb.info/992494834/04.
Full textAspegren, Villiam. "CluStic – Automatic graph drawing with clusters." Thesis, KTH, Skolan för datavetenskap och kommunikation (CSC), 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-179251.
Full textMålet med automatiserad grafritning är att utifrån en uppsättning noder och kanter hitta en layout som är visuellt tillfredställande. Ett delområde som inte utforskats nog är möjligheten till att låsa vissa komponenter i grafen som sedan inte får alterneras av grafritningsalgoritmen. En användare som exempel, strukturerar vissa delar av grafen manuellt och applicerar sedan automatisk layout av resterande element utan att förstöra den struktur som manuellt skapats. CluStic, grafritningsverktyget som skapats och utvärderats i denna masters uppsats fyller denna funktion. CluStic bevarar den interna strukturen för ett kluster genom att tilldela en högre prioritet för noder i klustret med avseende på övriga element i grafen. Efter att högprioritets element placerats tilldelas resterande element sina bäst tillgängliga positioner. Utöver detta så uppfyller CluStic några av de vanligaste estetiska mål inom grafritning: minimera antalet kantkorsningar, minimera höjden, och räta ut kanter. Metoden som används i denna master uppsatts var att först gör en inledande studie där vi undersöker fyra populära grafritnings verktyg: Cytogate, GraphDraw, Diagram.Net och GraphNet. En uppsättning grafer genereras av dessa verktyg och vi mäter hur lång tid det tar för en användare att hitta den längsta vägen i grafen. Genom denna studie konstaterar vi att Cytogate presenterade grafer med best kvalitet. Från kunskap samlad i den inledande studien utvecklar vi CluStic och utför uppsatsens huvud studie där vi jämför CluStic med avseende på Cytogate och en bas layout Breddenförst algoritm. CluStic uppnår ett visualiserings effektivitetsvärde på 1,4 vilket är en ökning jämtemot Bredden-först algoritmen (-3,8). CluStic levererar inte layouter som är mer visuellt tillfredställande än de som skapats av Cytogate som får ett visualiserings effektivitetsvärde på 1,9. CluStic tillskillnad från Cytogate bevarar den internt fixa strukturen mellan element med hög prioritet vilket gör CluStic till det bättre verktyget för grafer med statiska element.
Pampel, Barbara [Verfasser]. "Constrained Graph Drawing / Barbara Pampel." Konstanz : Bibliothek der Universität Konstanz, 2012. http://d-nb.info/1024457656/34.
Full textHe, Dayu. "Algorithms for Graph Drawing Problems." Thesis, State University of New York at Buffalo, 2017. http://pqdtopen.proquest.com/#viewpdf?dispub=10284151.
Full textA graph G is called planar if it can be drawn on the plan such that no two distinct edges intersect each other but at common endpoints. Such drawing is called a plane embedding of G. A plane graph is a graph with a fixed embedding. A straight-line drawing G of a graph G = (V, E) is a drawing where each vertex of V is drawn as a distinct point on the plane and each edge of G is drawn as a line segment connecting two end vertices. In this thesis, we study a set of planar graph drawing problems.
First, we consider the problem of monotone drawing: A path P in a straight line drawing Γ is monotone if there exists a line l such that the orthogonal projections of the vertices of P on l appear along l in the order they appear in P. We call l a monotone line (or monotone direction) of P. G is called a monotone drawing of G if it contains at least one monotone path Puw between every pair of vertices u,w of G. Monotone drawings were recently introduced by Angelini et al. and represent a new visualization paradigm, and is also closely related to several other important graph drawing problems. As in many graph drawing problems, one of the main concerns of this research is to reduce the drawing size, which is the size of the smallest integer grid such that every graph in the graph class can be drawn in such a grid. We present two approaches for the problem of monotone drawings of trees. Our first approach show that every n-vertex tree T admits a monotone drawing on a grid of size O(n1.205) × O( n1.205) grid. Our second approach further reduces the size of drawing to 12n × 12n, which is asymptotically optimal. Both of our two drawings can be constructed in O(n) time.
We also consider monotone drawings of 3-connected plane graphs. We prove that the classical Schnyder drawing of 3-connected plane graphs is a monotone drawing on a f × f grid, which can be constructed in O(n) time.
Second, we consider the problem of orthogonal drawing. An orthogonal drawing of a plane graph G is a planar drawing of G such that each vertex of G is drawn as a point on the plane, and each edge is drawn as a sequence of horizontal and vertical line segments with no crossings. Orthogonal drawing has attracted much attention due to its various applications in circuit schematics, relationship diagrams, data flow diagrams etc. . Rahman et al. gave a necessary and sufficient condition for a plane graph G of maximum degree 3 to have an orthogonal drawing without bends. An orthogonal drawing D(G) is orthogonally convex if all faces of D(G) are orthogonally convex polygons. Chang et al. gave a necessary and sufficient condition (which strengthens the conditions in the previous result) for a plane graph G of maximum degree 3 to have an orthogonal convex drawing without bends. We further strengthen the results such that if G satisfies the same conditions as in previous papers, it not only has an orthogonally convex drawing, but also a stronger star-shaped orthogonal drawing.
Lauw, Madelaine L. "TiddlyGraph : graph drawing tool for TiddlyWiki /." Leeds : University of Leeds, School of Computer Studies, 2008. http://www.comp.leeds.ac.uk/fyproj/reports/0708/Lauw.pdf.
Full textNewton, Matthew. "Sequential and parallel algorithms for low-crossing graph drawing." Thesis, Loughborough University, 2007. https://dspace.lboro.ac.uk/2134/12944.
Full textCornelsen, Sabine. "Drawing families of cuts in a graph." [S.l. : s.n.], 2003. http://deposit.ddb.de/cgi-bin/dokserv?idn=967110165.
Full textKlein, Karsten [Verfasser]. "Interactive graph drawing with constraints / Karsten Klein." Dortmund : Universitätsbibliothek Technische Universität Dortmund, 2011. http://d-nb.info/1011569876/34.
Full textBooks on the topic "Graph drawing"
Duncan, Christian, and Antonios Symvonis, eds. Graph Drawing. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-45803-7.
Full textMutzel, Petra, Michael Jünger, and Sebastian Leipert, eds. Graph Drawing. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/3-540-45848-4.
Full textNorth, Stephen, ed. Graph Drawing. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/3-540-62495-3.
Full textBrandenburg, Franz J., ed. Graph Drawing. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/bfb0021783.
Full textTollis, Ioannis G., and Maurizio Patrignani, eds. Graph Drawing. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00219-9.
Full textGoodrich, Michael T., and Stephen G. Kobourov, eds. Graph Drawing. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/3-540-36151-0.
Full textDidimo, Walter, and Maurizio Patrignani, eds. Graph Drawing. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36763-2.
Full textWhitesides, Sue H., ed. Graph Drawing. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/3-540-37623-2.
Full textWismath, Stephen, and Alexander Wolff, eds. Graph Drawing. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-03841-4.
Full textEppstein, David, and Emden R. Gansner, eds. Graph Drawing. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11805-0.
Full textBook chapters on the topic "Graph drawing"
Sharir, Micha, and Adam Sheffer. "Counting Plane Graphs: Cross-Graph Charging Schemes." In Graph Drawing, 19–30. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-36763-2_3.
Full textLisitsyn, Ivan A., and Victor N. Kasyanov. "Higres — Visualization System for Clustered Graphs and Graph Algorithms." In Graph Drawing, 82–89. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-46648-7_8.
Full textvan Wijk, Jarke J. "Graph Visualization." In Graph Drawing, 86. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-25878-7_9.
Full textAbellanas, M., J. García, G. Hernández, M. Noy, and P. Ramos. "Bipartite embeddings of trees in the plane." In Graph Drawing, 1–10. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/3-540-62495-3_33.
Full textAlzohairi, Mohammad, and Ivan Rival. "Series-parallel planar ordered sets have pagenumber two." In Graph Drawing, 11–24. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/3-540-62495-3_34.
Full textBose, Prosenjit, Alice Dean, Joan Hutchinson, and Thomas Shermer. "On rectangle visibility graphs." In Graph Drawing, 25–44. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/3-540-62495-3_35.
Full textBridgeman, Stina, Ashim Garg, and Roberto Tamassia. "A graph drawing and translation service on the WWW." In Graph Drawing, 45–52. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/3-540-62495-3_36.
Full textCalamoneri, Tiziana, and Andrea Sterbini. "Drawing 2-, 3- and 4-colorable graphs in O(n2) volume." In Graph Drawing, 53–62. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/3-540-62495-3_37.
Full textChan, Timothy, S. Rao Kosaraju, Michael T. Goodrich, and Roberto Tamassia. "Optimizing area and aspect ratio in straight-line orthogonal tree drawings." In Graph Drawing, 63–75. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/3-540-62495-3_38.
Full textBattista, Giuseppe, Ashim Garg, Giuseppe Liotta, Armando Parise, Roberto Tamassia, Emanuele Tassinari, Francesco Vargiu, and Luca Vismara. "Drawing directed acyclic graphs: An experimental study." In Graph Drawing, 76–91. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/3-540-62495-3_39.
Full textConference papers on the topic "Graph drawing"
Da Lozzo, Giordano, Marco Di Bartolomeo, Maurizio Patrignani, Giuseppe Di Battista, Davide Cannone, and Sergio Tortora. "Drawing Georeferenced Graphs - Combining Graph Drawing and Geographic Data." In International Conference on Information Visualization Theory and Applications. SCITEPRESS - Science and and Technology Publications, 2015. http://dx.doi.org/10.5220/0005266601090116.
Full textDi Giacomo, Emilio, Walter Didimo, Seok-hee Hong, Michael Kaufmann, Stephen G. Kobourov, Giuseppe Liotta, Kazuo Misue, Antonios Symvonis, and Hsu-Chun Yen. "Low ply graph drawing." In 2015 6th International Conference on Information, Intelligence, Systems and Applications (IISA). IEEE, 2015. http://dx.doi.org/10.1109/iisa.2015.7388020.
Full textIbrahim, Bertrand, Honitriniela Randriamparany, and Hidenori Yoshizumi. "Relevance of graph-drawing algorithms to graph-based interfaces." In the working conference. New York, New York, USA: ACM Press, 2000. http://dx.doi.org/10.1145/345513.345357.
Full textNiggemann, Oliver, and Benno Stein. "A meta heuristic for graph drawing." In the working conference. New York, New York, USA: ACM Press, 2000. http://dx.doi.org/10.1145/345513.345354.
Full textSamaranayake, Meththa, Helen Ji, and John Ainscough. "Graph drawing alogorithms based module placement." In 2009 International Symposium on Signals, Circuits and Systems - ISSCS 2009. IEEE, 2009. http://dx.doi.org/10.1109/isscs.2009.5206087.
Full textHosobe, Hiroshi. "Numerical optimization-based graph drawing revisited." In 2012 IEEE Pacific Visualization Symposium (PacificVis). IEEE, 2012. http://dx.doi.org/10.1109/pacificvis.2012.6183577.
Full textDobkin, David P., Emden R. Gansner, E. Koutsofios, and S. C. North. "A path router for graph drawing." In the fourteenth annual symposium. New York, New York, USA: ACM Press, 1998. http://dx.doi.org/10.1145/276884.276935.
Full textXue-ling Song, Chao-ying Liu, Zhe-ying Song, and Li-chong Peng. "Stepping motor graph drawing system design." In 2007 IEEE International Conference on Grey Systems and Intelligent Services. IEEE, 2007. http://dx.doi.org/10.1109/gsis.2007.4443537.
Full textCohen, R. F., G. Di Battista, R. Tamassia, I. G. Tollis, and P. Bertolazzi. "A framework for dynamic graph drawing." In the eighth annual symposium. New York, New York, USA: ACM Press, 1992. http://dx.doi.org/10.1145/142675.142728.
Full textHong, Seok-Hee, Peter Eades, Marnijati Torkel, James Wood, and Kunsoo Park. "Louvain-based Multi-level Graph Drawing." In 2021 IEEE 14th Pacific Visualization Symposium (PacificVis). IEEE, 2021. http://dx.doi.org/10.1109/pacificvis52677.2021.00028.
Full textReports on the topic "Graph drawing"
Fu, Xiangyang, Guangdao Gao, and Peng Yang. Aircraft Drawing-Die Design CAD Expert System Based on Engineering Graph,. Fort Belvoir, VA: Defense Technical Information Center, August 1995. http://dx.doi.org/10.21236/ada300179.
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