ACHROMATIC COLORING OF QUADRILATERAL SNAKES

The Main objective of this article is to discuss achromatic coloring and to investigate the achromatic number of the central graph of quadrilateral snake, double quadrilateral snake, triple quadrilateral snake, k-quadrilateral snake, alternate quadrilateral snake, double alternate quadrilateral snake, triple alternate quadrilateral snake and k-alternate quadrilateral snake, denoted by χa(C(Qn)), χa{C(DQn)), χa(C(TQn)), χa{C{kQn)),χa{C(AQn)), χa{C(D(AQn))), χa(C(T(AQn))), χa{C{k(AQn))) respectively.

Keywords:

Achromatic coloring, Achromatic number Central graph, Quadrilateral and alternate quadrilateral snakes.,

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[1]. Aparna, K. M., Correya, H. & Manjusha (2018). Achromatic Number of Some Graphs, International Journal of Pure and Applied Mathematics, 18(20), 941- 949.
[2]. Agasthi, P. & Parvathi, N. (2018). Some Labeling of Quadrilateral Snake, International Journal of Pure and Applied Mathematics, 119(12), 2975-2992.
[3]. Bondy, J. A. & U.S.R. Murty (1976). Graph theory with Applications, London: MacMillan.
[4]. Chandel, R. S., Mansuri, A. & Mehta, R. (2014). Study on Achromatic Coloring of Triple Star Graph Families, JP Journal of Mathematical Sciences, 10(1 & 2), 7-16.
[5]. Gallian, J. A. (2019). A Dynamic survey of graph labeling, The electronic Journal of Combinatorics.
[6]. Gopi, R. (2016). Odd sum labeling of alternative quadrilateral snake, Int. J. EnginSci., Adv. Comput. and Bio-Tech., 7(3), 73-77.
[7]. Harary, F. (2001). Graph Theory, Narosa Publishing House.
[8]. Harary, F. & Hedetniemi, S.T. (1970). The achromatic number of a graph, Journal of Combinatorial Theory, (8), 154-161.
[9]. Hell, P. & Miller, D. J. (1976). Graph with given Achromatic number, Discrete Mathe- matics, (16), 195-207.
[10].Ponraj R. & Narayanan, S. S. (2014). Difference Cordiality of Some Snake Graphs, J. Appl. Math. & Informatics, 32(3-4), 377-387.
[11]. Ponraj R. & Narayanan, S. S. (2013). Difference Cordiality of Some Snake Graphs obtained from double alternate snake graphs, Global J. Math. Sciences: Theory and Practical, (5), 167-175.
[12]. Sandhya, S. S., Merly, E. R. & Shiny, B. (2015). Subdivision of super geometric mean labeling for quadrilateral snake graphs, Internat. J. Math. Trends Tech., 24(1), 1-16.
[13]. Sandhya, S. S., Merly, E. R. & Shiny, B. (2015). Super geometric mean labeling on doublequadrilateral snake graphs, Asian Pacific J. Res., 1(XXI) 128- 135.
[14].Thilagavthi, K. Thilagavathy, K.P. & Roopesh, N. (2009). The achromatic colouring of graphs, Discrete Mathematics, (33), 153-156.
[15].Vivin, J. V., Venkatachalam , M. & Akbar, M.M.A. (2009). A note on achromatic coloring of star graph families, Filomat, (23), 251-255.

Journal of Amasya University the Institute of Sciences and Technology-Cover

ISSN: 2717-8900
Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2020
Yayıncı: Amasya Üniversitesi

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