DOI Number : 10.5614/j.math.fund.sci.2013.45.3.4
Hits : 13

Open Neighborhood Coloring of Prisms

Geetha Kempanapura Nanjunda Swamy1, Kyathsandra Nagendra Rao Meera1*, Narahari Narasimha Swamy2 & Badekara Sooryanarayana3


1Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Bangalore, Karnataka State, INDIA, 560 035
2Department of Mathematics, University College of Science, Tumkur University, Tumkur, Karnataka State, INDIA, 572 103
3Department of Mathematical and Computational Studies, Dr. Ambedkar Institute of Technology, Bangalore, Karnataka State, INDIA, 560 056
Email: kn_meera@blr.amrita.edu


Abstract. For a simple, connected, undirected graph G(V, E) an open neighborhood coloring of the graph G is a mapping f : V (G) --> Z+ such that for each w in V(G), and for all u, v in N(w), f(u) is different from f(v). The maximum value of f(w), for all w in V (G) is called the span of the open neighborhood coloring f. The minimum value of span of f over all open neighborhood colorings f is called open neighborhood chromatic number of G, denoted by Xonc(G). In this paper we determine the open neighborhood chromatic number of prisms.

Keywords: coloring; labeling; neighbor; open neighborhood; prism.

Download Article
 
Bahasa Indonesia | English
 
 
 

Notification:

Begin on 10 October 2014 this website is no longer activated for article process in Journal of Mathematical and Fundamental Sciences, Journal of Engineering and Technological Sciences, Journal of ICT Research and Applications and Journal of Visual Art and Design. The next process will be proceeded under new website at http://journals.itb.ac.id.

For detail information please contact us to: journal@lppm.itb.ac.id.

 
       
       
       ITB Journal Visitor Number #9626115       
       Jl. Tamansari 64, Bandung 40116, Indonesia Visitor IP Address #       
       Tel : +62-22-250 1759 ext. 121 2011 Institut Teknologi Bandung       
       Fax : +62-22-250 4010, +62-22-251 1215 XHTML + CSS + RSS       
       E-mail : journal@lppm.itb.ac.id or proceedings@lppm.itb.ac.id Developed by AVE