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Articles

On Determination and Construction of Critically 2-Connected Graphs

, & (Communicated by)
Pages 73-83 | Received 04 Jun 2008, Accepted 05 May 2010, Published online: 10 Mar 2020

References

  • Y.M. Borse, On removable cycles and chains in connected graphs and related aspects in matroids, Ph.D. Thesis submitted to University of Pune, 2007.
  • G. Chartrand, A. Kaugars and D.R. Lick, Critically n-connected graphs, Proc. Amer. Math. Soc., 32 (1972), 63–68.
  • G.A. Dirac, Minimally 2-connected graphs, J. Reine Angew. Math., 228 (1967), 204–216.
  • D. Eppstein, Parallel recognition of series-parallel graphs, Information and Computation, 98 (1992), 41–55.
  • A. Jacoby, M. Liśkiewicz and R. Reischuk, Space efficient algorithms for series-parallel graphs, STACS (2001) (Dresden) 339–352; Lecture notes in computer science, 2010, Springer, Berlin, 2001.
  • M. Juvan, B. Mohar and R. Thomas, List edge-coloring of series-parallel graphs, Electron. J. Combin., 6 (1999), Research Paper 42, 6 pp.
  • M. Kriesell, Contractible subgraphs in 3-connected graphs, J. Combin. Theory Ser. B, 80 (2000), 32–48.
  • M. Kriesell, Almost all 3-connected graphs contain a contractible set of k vertices, J. Combin. Theory Ser. B, 83 (2001), 305–319.
  • D. Marx, NP-completeness of list coloring and precoloring extension of the edges of planar graphs, J. Graph Theory, 49 (2005), 313–324.
  • W. McCuaig and K. Ota, Contractible triples in 3-connected graphs, J. Combin. Theory Ser. B, 60 (1994), 308–314.
  • L. Nebeský, On induced subgraphs of a block, J. Graph Theory, 1 (1977), 69–74.
  • M.D. Plummer, On minimal blocks, Trans. Amer. Math. Soc., 134 (1968), 85–94.
  • P.D. Seymour, Coloring parallel graphs, Combinatorica, 10 (1990), 379–392.
  • M.M. Systo, Series-parallel graphs and depth-first search trees, IEEE Trans. Circuits and Systems, 31 (1984), 1029–1033.
  • N.K. Thakare, M.M. Pawar and B.N. Waphare, A structure theorem for dsimantlable lattices and enumeration, Period. Math. Hunger., 45 (2002), 147–160.
  • R. Thomas, Series-parallel graphs, htpp://www.math.gatech.edu/thomas/TEACH/8863/.
  • D.B. West, Introduction to Graph Theory, Second ed., Prentice Hall of India, New Delhi, (2002).
  • H. Whitney, Non-separable and planar graphs, Trans. Amer. Math. Soc., 34 (1932), 339–362.

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