Radio Square Difference Dd-Distance Number of Some Basic Graphs

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-2
Year of Publication : 2021
Authors : K. John Bosco, G. Vishma George
  10.14445/22315373/IJMTT-V67I2P515

MLA

MLA Style: K. John Bosco, G. Vishma George. "Radio Square Difference Dd-Distance Number of Some Basic Graphs" International Journal of Mathematics Trends and Technology 67.2 (2021):109-113. 

APA Style: K. John Bosco, G. Vishma George(2021). Radio Square Difference Dd-Distance Number of Some Basic Graphs. International Journal of Mathematics Trends and Technology, 109-113.

Abstract
A Radio square difference Dd-distance labeling of a connected graph G is an injective function f from the vertex set V(G) to N such that for two distinct vertices u and v of G, DDd(u,v)+[f(v)]2-[f(v)]2|≥1 + diamDd(G), where DDd(u,v) denote the Dd-distance between u and v and also diam Dd(G) denotes the Dd-diameter of G. The radio square difference number of f, rsdnDd(f) is the maximum label assigned to any vertex of G. The radio square difference number of G, rsdnDd(G) is the maximum value of f of G. In this paper we find the radio square difference number of some basic graph.

Reference

[1] F. Buckley and F. Harary , Distance in Graphs , Addition- Wesley, Redwood City, CA, 1009.
[2] G .Chatrand, D.Erwinn, F .Harary , and P. Zhang, Radio labelling of graphs, Bulletin of the Institute of Combinatorics and its Applications 33(2001) 77-85.
[3] G .Chatrand, D. Erwin, and P. Zhang, Graph labeling problem suggested by FM channel restrictons, Bull. Inst. Combin.Appl.,43(2005) 43-57.
[4] C. Fernandaz, A. Flores, M. Tomova, and C.Wyels, The Radio Number of Gear Graphs ,arXiv:0809.2623, 15(2008).
[5] J.A. Gallian, A dynamic survey of graph labeling, Electron. J. Combin. 19 (2012) #Ds6.
[6] W.K. Hale, Frequency assignment:Theory and applications, Proc, IEEE 68(1980) 1497-1514.
[7] J. Shiama, Square difference labelling for some graphs, International journal of Computer Applications (0975-08887) 44(4)(2012).
[8] Anto Kinsley and Siva Ananthi P, Dd- Distance in Graphs, Imperical Journal of Interdisciplinary Research (IJIR), 3(2) (2017) ISSN:2454-1362, http://www.onlinejournal.in
[9] T.Nicholas and K.John Bosco , Radio D-distance number of some graphs, International Journal of Engineering & Scientific Research 5(2)(2017) ISSN: 2347-6532.
[10] T.Nicholas, K.John Bosco and M. Antony, Radio mean D-distance labeling of some graphs, International Journal of Engineering & Scientific Research 5(2)(2017) ISSN: 2347-6532. publication in Ars Combinatoria.
[11] K.John bosco,G.Vishma George, On Radio square Difference D-distance number of some standard graphs, IJRAR 8(1)(2021) www.ijrar.org (E-ISSN 2348-1269, P- ISSN 2349-5138)
[12] K.John bosco, G.Vishma George, On Radio square difference Dd-distance number of cycle related Graphs, JETIR 8(1) (2021) www.jetir.org (ISSN-2349-5162)
[13] Reddy Babu, D., Varma, P.L.N., D-distance in graphs, Golden Research Thoughts, 2(2013) 53-58.

Keywords : Dd-distance, Radio square.