Skip to main content

Strong Edge Colorings of Graphs

  • Chapter
Color-Induced Graph Colorings

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

  • 747 Accesses

Abstract

In the preceding chapters we have discussed unrestricted edge colorings that, in a variety of ways, induce vertex colorings that are either vertex-distinguishing or neighbor-distinguishing. In this chapter, we turn our attention from unrestricted edge colorings to proper edge colorings that induce set-defined vertex colorings which are either vertex-distinguishing or neighbor-distinguishing.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 16.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Bazgan, C., Harkat-Benhamdine, A., Li, H., & Woźniak, M. (1999). On the vertex-distinguishing proper edge-colorings of graphs. Journal of Combinatorial Theory, Series B, 75, 288–301.

    Article  MathSciNet  MATH  Google Scholar 

  2. Burris, A. C., & Schelp, R. H. (1997). Vertex-distinguishing proper edge colorings. Journal for Graph Theory, 26, 73–82.

    Article  MathSciNet  MATH  Google Scholar 

  3. Chartrand, G., English, S., & Zhang, P., Binomial colorings of graphs. Preprint.

    Google Scholar 

  4. Petersen, J. (1891). Die Theorie der regulären Graphen. Acta Mathematica, 15, 193–220.

    Article  MathSciNet  MATH  Google Scholar 

  5. Tait, P. G. (1880). Remarks on the colouring of maps. Proceedings of the Royal Society of Edinburgh, 10, 501–503, 729.

    MATH  Google Scholar 

  6. Zhang, Z., Liu, L., & Wang, J. (2002). Adjacent strong edge coloring of graphs. Applied Mathematics Letters, 15, 623–626.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Ping Zhang

About this chapter

Cite this chapter

Zhang, P. (2015). Strong Edge Colorings of Graphs. In: Color-Induced Graph Colorings. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-20394-2_8

Download citation

Publish with us

Policies and ethics