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Narahari Narasimha Swamy
Department of Mathematics, University College of Science, Tumkur University
Astronomy Chemistry Earth & Planetary Sciences Mathematics Physics

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Open Neighborhood Coloring of Prisms Geetha Kempanapura Nanjunda Swamy; Kyathsandra Nagendra Rao Meera; Narahari Narasimha Swamy; Badekara Sooryanarayana
Journal of Mathematical and Fundamental Sciences Vol. 45 No. 3 (2013)
Publisher : Institute for Research and Community Services (LPPM) ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/j.math.fund.sci.2013.45.3.4

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.
Co-Authors Badekara Sooryanarayana Geetha Kempanapura Nanjunda Swamy Kyathsandra Nagendra Rao Meera