Araştırma Makalesi
BibTex RIS Kaynak Göster

ACHROMATIC COLORING OF QUADRILATERAL SNAKES

Yıl 2021, Cilt: 2 Sayı: 1, 1 - 10, 30.06.2021

Akhlak Mansurı Yashwant Panwar

Öz

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.

Anahtar Kelimeler

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

Kaynakça

  • [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.

Yıl 2021, Cilt: 2 Sayı: 1, 1 - 10, 30.06.2021

Akhlak Mansurı Yashwant Panwar

Öz

Kaynakça

  • [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.
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Araştırma Makaleleri
Yazarlar

Akhlak Mansurı

Yashwant Panwar

Yayımlanma Tarihi 30 Haziran 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 2 Sayı: 1

Kaynak Göster

APA Mansurı, A., & Panwar, Y. (2021). ACHROMATIC COLORING OF QUADRILATERAL SNAKES. Journal of Amasya University the Institute of Sciences and Technology, 2(1), 1-10.
AMA Mansurı A, Panwar Y. ACHROMATIC COLORING OF QUADRILATERAL SNAKES. J. Amasya Univ. Inst. Sci. Technol. Haziran 2021;2(1):1-10.
Chicago Mansurı, Akhlak, ve Yashwant Panwar. “ACHROMATIC COLORING OF QUADRILATERAL SNAKES”. Journal of Amasya University the Institute of Sciences and Technology 2, sy. 1 (Haziran 2021): 1-10.
EndNote Mansurı A, Panwar Y (01 Haziran 2021) ACHROMATIC COLORING OF QUADRILATERAL SNAKES. Journal of Amasya University the Institute of Sciences and Technology 2 1 1–10.
IEEE A. Mansurı ve Y. Panwar, “ACHROMATIC COLORING OF QUADRILATERAL SNAKES”, J. Amasya Univ. Inst. Sci. Technol., c. 2, sy. 1, ss. 1–10, 2021.
ISNAD Mansurı, Akhlak - Panwar, Yashwant. “ACHROMATIC COLORING OF QUADRILATERAL SNAKES”. Journal of Amasya University the Institute of Sciences and Technology 2/1 (Haziran 2021), 1-10.
JAMA Mansurı A, Panwar Y. ACHROMATIC COLORING OF QUADRILATERAL SNAKES. J. Amasya Univ. Inst. Sci. Technol. 2021;2:1–10.
MLA Mansurı, Akhlak ve Yashwant Panwar. “ACHROMATIC COLORING OF QUADRILATERAL SNAKES”. Journal of Amasya University the Institute of Sciences and Technology, c. 2, sy. 1, 2021, ss. 1-10.
Vancouver Mansurı A, Panwar Y. ACHROMATIC COLORING OF QUADRILATERAL SNAKES. J. Amasya Univ. Inst. Sci. Technol. 2021;2(1):1-10.



Scilit 30442                               

Academindex 30443

SOBIAD 30444


29442 As of 2023, JAUIST is licensed under a Creative Commons Attribution-NonCommercial 4.0 International Licence (CC BY-NC).