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Operations on Graphs

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Properly Colored Connectivity of Graphs

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Abstract

Among the many interesting problems of determining the proper connection numbers of graphs, it is worthwhile to study the proper connection number of G according to some constraints of the complementary graph.

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References

  1. Andrews, E., Laforge, E., Lumduanhom, C., Zhang, P.: On proper-path colorings in graphs. J. Combin. Math. Combin. Comput. 97, 189–207 (2016)

    MathSciNet  MATH  Google Scholar 

  2. Andrews, E., Laforge, E., Lumduanhom, C., Zhang, P.: Proper-path colorings in graph operations. Manuscript

    Google Scholar 

  3. Aouchiche, M., Hansen, P.: A survey of Nordhaus-Gaddum type relations. Discrete Appl. Math. 161(4–5), 466–546 (2013)

    Article  MathSciNet  Google Scholar 

  4. Bondy, J.A., Murty, U.S.R.: Graph Theory. Graduate Texts in Mathematics, vol. 244. Springer, New York (2008)

    Book  Google Scholar 

  5. Hammack, R.H., Taylor, D.T.: Proper connection of direct products. Discuss. Math. Graph Theory 37, 1005–1013 (2017)

    Article  MathSciNet  Google Scholar 

  6. Huang, F., Li, X., Wang, S.: Proper connection numbers of complementary graphs. Bull. Malays. Math. Sci. Soc. https://doi.org/10.1007/s40840-016-0381-8

  7. Laforge, E., Lumduanhom, C., Zhang, P.: Chromatic-connection in graphs. Congressus Numerantium (to appear)

    Google Scholar 

  8. Mao, Y., Yanling, F., Wang, Z., Ye, C.: Proper connection number of graph products. Bull. Malays. Math. Sci. Soc. https://doi.org/10.1007/s40840-016-0442-z

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Li, X., Magnant, C., Qin, Z. (2018). Operations on Graphs. In: Properly Colored Connectivity of Graphs. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-89617-5_6

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