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On Irregular Coloring of Some Generalised Graphs

Dafik|M. Venkatachalam|A. Rohini
장전수학회 (Jangjeon Mathematical Society)|2020.01|Advanced Studies in Contemporary Mathematics|제30권 제1호|pp. 99-120

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키워드

line graphirregular coloringmiddle graphtotal graphcentral graphsplitting graphmycielski graph
주제분류수학

초록

Irregular coloring was introduced by Radcli e and Zhang in 2006. Irregular coloring follows the condition: (i) proper coloring, (ii) distinct vertices have distinct color codes. The irregular chromatic number denoted by Xir. In this paper, we find the ir-regular chromatic number for the graphs, M(nWm), T(nWm), L(nWm), C(nWm), M(nFm), T(nFm), L(nFm), C(nFm), S(G) and (G).

Abstract

Irregular coloring was introduced by Radcli e and Zhang in 2006. Irregular coloring follows the condition: (i) proper coloring, (ii) distinct vertices have distinct color codes. The irregular chromatic number denoted by Xir. In this paper, we find the ir-regular chromatic number for the graphs, M(nWm), T(nWm), L(nWm), C(nWm), M(nFm), T(nFm), L(nFm), C(nFm), S(G) and (G).

참고문헌 (14)

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  4. F. Harary, "Graph Theory" (1969), Narosa Publishing home
  5. J. Mycielski, "Sarlecoloriagedes graphes", Coll.Math., 3, pp.161~162 (1955)
  6. F. Okamoto, "On the irregular chromatic number of a graph", Congr. Numer., 181, pp.129~150 (2006)
  7. Ping Zhang, "A Kaleidoscopic View of Graph Color-ings" (2016), Springer International Publication
  8. M. Radcliffe, "Irregular coloring of graphs", Bulletin of the Institute of Combinatorics and its Ap-plications, 49, pp.41~59 (2007)
  9. M. Radcliffe, "On Irregular coloring of graphs", AKCE Journal of Graphs and Combinatorics, 3(2), pp.175~191 (2006)
  10. A. Rohini, "On irregular colorings of double wheel graph families, Communications", Fac-ulty of Science, University of Ankara, Series A1 Math-ematics and Statistics, 68(1), pp.944~949 (2019)
  11. A. Rohini, "On irregular colorings of fan graph families", IOP Conf. Series: J. Phy., 1139, pp.012061~ (2018)
  12. S. Roy, "Packing chromatic number of certain fan and wheel related graphs", AKCE International Journal of Graphs and Combinatorics, 14, pp.63~69 (2017)
  13. E. Sampathkumar, "On Splitting graph of graph", J. Karnatak Univ. Sci., 25 and 26, pp.13~16 (1981)
  14. J. Vernold Vivin, "Harmonious coloring of total graphs, n-leaf, central graphs and circumdetic graphs", 박사, pp.2007

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