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drawing clustered graph using modular decomposition tree

Years and Authors of Summarized Original Work

  • 1995; Feng, Cohen, Eades

Problem Definition

Clustered Graph Drawing, Fig. 1
figure 322

A clustered graph C(G,T) (left) and its inclusion tree (right)

Full size image

Keywords

  • Clustered graph
  • Convex drawings
  • Graph drawing
  • Planarity testing
  • Straight-line drawings

Recommended Reading

  1. Angelini P, Frati F, Kaufmann M (2011) Straight-line rectangular drawings of clustered graphs. Discret Comput Geom 45(1):88–140

    MathSciNet  MATH  CrossRef  Google Scholar

  2. Booth KS, Lueker GS (1976) Testing for the consecutive ones property, interval graphs, and graph planarity using PQ-tree algorithms. J Comput Syst Sci 13(3):335–379

    MathSciNet  MATH  CrossRef  Google Scholar

  3. Chimani M, Di Battista G, Frati F, Klein K (2014) Advances on testing c-planarity of embedded flat clustered graphs. In: Graph drawing (GD '14), Würzburg, pp 416–427

    Google Scholar

  4. Cortese PF, Di Battista G, Patrignani M, Pizzonia M (2005) Clustering cycles into cycles of clusters. J Graph Algorithms Appl 9(3):391–413. doi:10.7155/jgaa.00115

    Google Scholar

  5. Cortese PF, Di Battista G, Frati F, Patrignani M, Pizzonia M (2008) C-planarity of c-connected clustered graphs. J Graph Algorithms Appl 12(2):225–262

    MathSciNet  MATH  CrossRef  Google Scholar

  6. Dahlhaus E (1998) A linear time algorithm to recognize clustered graphs and its parallelization. In: Lucchesi CL, Moura AV (eds) Latin American theoretical informatics (LATIN '98), Campinas. LNCS, vol 1380. Springer, pp 239–248

    Google Scholar

  7. Di Battista G, Frati F (2009) Efficient c-planarity testing for embedded flat clustered graphs with small faces. J Graph Algorithms Appl 13(3):349–378. Special issue from GD '07

    Google Scholar

  8. Di Battista G, Tamassia R (1996) On-line planarity testing. SIAM J Comput 25:956–997

    MathSciNet  MATH  CrossRef  Google Scholar

  9. Di Battista G, Tamassia R, Tollis IG (1992) Area requirement and symmetry display of planar upward drawings. Discret Comput Geom 7: 381–401

    MathSciNet  MATH  CrossRef  Google Scholar

  10. Feng Q, Cohen RF, Eades P (1995) How to draw a planar clustered graph. In: Du D, Li M (eds) Computing and combinatorics conference (COCOON '95), Xi'an. LNCS, vol 959. Springer, pp 21–30

    Google Scholar

  11. Feng Q, Cohen RF, Eades P (1995) Planarity for clustered graphs. In: Spirakis P (ed) European symposium on algorithms (ESA '95), Corfu. LNCS, vol 979. Springer, pp 213–226

    Google Scholar

  12. Goodrich MT, Lueker GS, Sun JZ (2006) C-planarity of extrovert clustered graphs. In: Healy P, Nikolov N (eds) International symposium on graph drawing (GD '05), Limerick. LNCS, vol 3843. Springer, pp 211–222

    Google Scholar

  13. Gutwenger C, Jünger M, Leipert S, Mutzel P, Percan M, Weiskircher R (2002) Advances in c-planarity testing of clustered graphs. In: Goodrich MT, Kobourov SG (eds) International symposium on graph drawing (GD '02), Irvine. LNCS, vol 2528. Springer, pp 220–235

    Google Scholar

  14. Hong SH, Nagamochi H (2010) Convex drawings of hierarchical planar graphs and clustered planar graphs. J Discret Algorithms 8(3): 282–295

    MathSciNet  MATH  CrossRef  Google Scholar

  15. Jelínek V, Jelínková E, Kratochvíl J, Lidický B (2009) Clustered planarity: embedded clustered graphs with two-component clusters. In: Tollis IG, Patrignani M (eds) Graph drawing (GD '08), Heraklion. LNCS, vol 5417, pp 121–132. doi:10.1007/978-3-642-00219-9_13

    Google Scholar

  16. Jelínková E, Kára J, Kratochvíl J, Pergel M, Suchý O, Vyskocil T (2009) Clustered planarity: small clusters in cycles and Eulerian graphs. J Graph Algorithms Appl 13(3):379–422

    MathSciNet  MATH  CrossRef  Google Scholar

  17. Schaefer M (2013) Toward a theory of planarity: Hanani-Tutte and planarity variants. J Graph Algorithms Appl 17(4):367–440

    MathSciNet  MATH  CrossRef  Google Scholar

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Correspondence to Fabrizio Frati .

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Frati, F. (2016). Clustered Graph Drawing. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2864-4_655

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  • DOI : https://doi.org/10.1007/978-1-4939-2864-4_655

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