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Maximum Generalized Local Connectivity

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Generalized Connectivity of Graphs

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Abstract

In this chapter, we introduce the results on the extremal problems of the generalized connectivity and generalized edge-connectivity.

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Bibliography

  1. Bártfai, P.: Solution of a problem proposed by P. Erdös (in Hungarian). Mat. Lapok. 175–140 (1960)

    Google Scholar 

  2. Bollobás, B.: Extremal Graph Theory. Academic press, New York (1978)

    MATH  Google Scholar 

  3. Bollobás, B.: Cycles and semi-topological configurations, inTheory and Applications of graphs’, ed. by Y. Alavi, D.R. Lick, Lecture Notes Math. vol. 642, pp. 66–74. Springer, New York (1978)

    Google Scholar 

  4. Bondy, J.A., Murty, U.S.R.: Graph Theory, GTM 244. Springer, New York (2008)

    Book  MATH  Google Scholar 

  5. Leonard, J.L.: On a conjecture of Bollobás and Edrös. Period. Math. Hungar.3, 281–284 (1973)

    Article  MathSciNet  MATH  Google Scholar 

  6. Leonard, J.L.: Graphs with 6-ways. Can. J. Math.25, 687–692 (1973)

    Article  MathSciNet  MATH  Google Scholar 

  7. Li, H., Li, X., Mao, Y.: On extremal graphs with at most two internally disjoint Steiner trees connecting any three vertices. Bull. Malays. Math. Sci. Soc.37 (3), 747–756 (2014)

    MathSciNet  MATH  Google Scholar 

  8. Li, X., Mao, Y.: On extremal graphs with at mostℓ internally disjoint Steiner trees connecting anyn − 1 vertices. Graphs Combin.31 (6), 2231–2259 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  9. Li, X., Zhao, Y.: On graphs with only one Steiner tree connecting anyk vertices. arXiv:1301.4623v1 [math.CO] (2013)

    Google Scholar 

  10. Mader, W.: Ein extremalproblem des zusammenhangin endlichen graphen. Math. Z.131, 223–231 (1973)

    Article  MathSciNet  MATH  Google Scholar 

  11. Mader, W.: Grad und lokaler zusammenhangs von graphen. Math. Ann.205, 9–11 (1973)

    Article  MathSciNet  MATH  Google Scholar 

  12. Sun, Y.: Maximum generalized local connectivities of cubic Cayley graphs on Abelian groups. J. Combin. Math. Combin. Comput.94, 227–236 (2015)

    MathSciNet  MATH  Google Scholar 

  13. Sørensen, B.A., Thomassen, C.: Onk-rails in graphs. J. Comb. Theory Ser. B17 (2), 143–159 (1974)

    Article  MATH  Google Scholar 

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Li, X., Mao, Y. (2016). Maximum Generalized Local Connectivity. In: Generalized Connectivity of Graphs. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-33828-6_8

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