HARMONIOUS COLORING OF MULTICOPY OF COMPLETE GRAPHS

Volume: 9 Number: 2 June 1, 2019
  • F. A. Muntaner-batle
  • V. Vivin J.
  • Venkatachalam M.
TWMS Journal of Applied and Engineering Mathematics Cover
TWMS Journal of Applied and Engineering Mathematics
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HARMONIOUS COLORING OF MULTICOPY OF COMPLETE GRAPHS

Abstract

In this paper, we find the harmonious chromatic number of multicopy ofcomplete graphs Kn. We generalize the result χH n + 2 K >n + 1 given in [8]

Keywords

References

  1. [1] Frucht, F. and Harary, F., (1970), On the corona of two graphs, Aequationes Mathematicae, 4, pp. 322-325.
  2. [2] Frank, O., Harary F. and Plantholt, M, (1982), The line distinguishing chromatic number of a graph, Ars Combinatoria, 14, pp. 241-252.
  3. [3] Georges J. P., (1995), On Harmonious Coloring of Collections of Graphs, Journal of Graph Theory, 20(2), pp. 241-245.
  4. [4] Harary, F. and Plantholt. M., (1983), Graphs with the line distinguishing chromatic number equal to the usual one, Utilitas Mathematica, 23, pp. 201-207.
  5. [5] Hopcroft, J. and Krishnamoorthy, M.S., (1983), On the harmonious coloring of graphs, SIAM Journal of Algebra Discrete Mathematics, 4, pp. 306-311.
  6. [6] Jensen, T. R. and Bjarne, T., (1995), Graph coloring problems, New York, Wiley-Interscience.
  7. [7] Kubale, M., (2004), Graph Colorings, American Mathematical Society Providence, Rhode Island.
  8. [8] Muntaner-Batle, F. A., Vernold Vivin, J. and Venkatachalam, M., (2014), Harmonious Coloring on Corona Product of Complete Graphs, National Academy Science Letters, 37(5), pp. 461-465, DOI 10.1007/s40009-014-0256-1.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

F. A. Muntaner-batle This is me

V. Vivin J. This is me

Venkatachalam M. This is me

Publication Date

June 1, 2019

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2019 Volume: 9 Number: 2

IZ

https://izlik.org/JA85KZ65UP

Cite

RIS / Bibtex
APA
Muntaner-batle, F. A., J., V. V., & M., V. (2019). HARMONIOUS COLORING OF MULTICOPY OF COMPLETE GRAPHS. TWMS Journal of Applied and Engineering Mathematics, 9(2), 384-395. https://izlik.org/JA85KZ65UP
AMA
1.Muntaner-batle FA, J. VV, M. V. HARMONIOUS COLORING OF MULTICOPY OF COMPLETE GRAPHS. JAEM. 2019;9(2):384-395. https://izlik.org/JA85KZ65UP
Chicago
Muntaner-batle, F. A., V. Vivin J., and Venkatachalam M. 2019. “HARMONIOUS COLORING OF MULTICOPY OF COMPLETE GRAPHS”. TWMS Journal of Applied and Engineering Mathematics 9 (2): 384-95. https://izlik.org/JA85KZ65UP.
EndNote
Muntaner-batle FA, J. VV, M. V (June 1, 2019) HARMONIOUS COLORING OF MULTICOPY OF COMPLETE GRAPHS. TWMS Journal of Applied and Engineering Mathematics 9 2 384–395.
IEEE
[1]F. A. Muntaner-batle, V. V. J., and V. M., “HARMONIOUS COLORING OF MULTICOPY OF COMPLETE GRAPHS”, JAEM, vol. 9, no. 2, pp. 384–395, June 2019, [Online]. Available: https://izlik.org/JA85KZ65UP
ISNAD
Muntaner-batle, F. A. - J., V. Vivin - M., Venkatachalam. “HARMONIOUS COLORING OF MULTICOPY OF COMPLETE GRAPHS”. TWMS Journal of Applied and Engineering Mathematics 9/2 (June 1, 2019): 384-395. https://izlik.org/JA85KZ65UP.
JAMA
1.Muntaner-batle FA, J. VV, M. V. HARMONIOUS COLORING OF MULTICOPY OF COMPLETE GRAPHS. JAEM. 2019;9:384–395.
MLA
Muntaner-batle, F. A., et al. “HARMONIOUS COLORING OF MULTICOPY OF COMPLETE GRAPHS”. TWMS Journal of Applied and Engineering Mathematics, vol. 9, no. 2, June 2019, pp. 384-95, https://izlik.org/JA85KZ65UP.
Vancouver
1.F. A. Muntaner-batle, V. Vivin J., Venkatachalam M. HARMONIOUS COLORING OF MULTICOPY OF COMPLETE GRAPHS. JAEM [Internet]. 2019 Jun. 1;9(2):384-95. Available from: https://izlik.org/JA85KZ65UP