Role coloring of graphs from rooted products

A k-role coloring is an assignment of k colors to the vertices of a graph such that if any two vertices receive the same color, then the set of colors assigned to their neigh­borhood will also be the same. Any graph with n vertices can have n-role coloring. Although it is easy to determine whether a...

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Bibliographic Details
Published in:Прикладная дискретная математика № 68. С. 94-102
Main Author: Komathi, M.
Other Authors: Ragukumar, P.
Format: Article
Language:English
Subjects:
Online Access:https://vital.lib.tsu.ru/vital/access/manager/Repository/koha:001159473
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245 1 0 |a Role coloring of graphs from rooted products  |c M. Komathi, P. Ragukumar 
246 1 1 |a Ролевая раскраска графов из корневых произведений 
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520 3 |a A k-role coloring is an assignment of k colors to the vertices of a graph such that if any two vertices receive the same color, then the set of colors assigned to their neigh­borhood will also be the same. Any graph with n vertices can have n-role coloring. Although it is easy to determine whether a graph with n vertices accepts a 1-role coloring, the challenge of k-role coloring is known to be difficult for k > 2. In fact, k-role coloring is known to be NP-complete for k > 2 on general graphs. In this paper, we determine k-role coloring of the rooted product of various graphs. 
653 |a ролевая раскраска 
653 |a ролевые графы 
653 |a корневое произведение графов 
653 |a бинарное произведение 
655 4 |a статьи в журналах 
700 1 |a Ragukumar, P.  |9 990918 
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