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Title: | Further Results on Harmonious Colorings of Digraphs |
Authors: | Hegde, S.M. Castelino, L.P. |
Issue Date: | 2011 |
Citation: | AKCE International Journal of Graphs and Combinatorics, 2011, Vol.8, 2, pp.151-159 |
Abstract: | Let D be a directed graph with n vertices and m edges. A function f: V (D) ? {1, 2, 3, ..., t}, where t ? n is said to be a harmonious coloring of D if for any two edges xy and uv of D, the ordered pair (f(x), f(y)) ? (f(u), f(v)). If no pair (i, i) is assigned, then f is said to be a proper harmonious coloring of D. The minimum t for which D admits a proper harmonious coloring is called the proper harmonious coloring number of D. We investigate the proper harmonious coloring number of graphs such as alternating paths and alternating cycles. |
URI: | http://idr.nitk.ac.in/jspui/handle/123456789/11374 |
Appears in Collections: | 1. Journal Articles |
Files in This Item:
File | Description | Size | Format | |
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5 Further Results on Harmonious Colorings.pdf | 317.92 kB | Adobe PDF | View/Open |
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