Applied Mathematics and Computation, ( ISI ), Volume (390), No (1), Year (2021-2) , Pages (125647-125654)

Title : ( Dominated and dominator colorings over (edge) corona and hierarchical products )

Authors: Sandi Klavzar , Mostafa Tavakoli ,

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Abstract

‎Dominator coloring of a graph is a proper (vertex) coloring with the property that every vertex is either alone in its color class or adjacent to all vertices of at least one color class‎. ‎A dominated coloring of a graph is a proper coloring such that every color class is dominated with at least one vertex‎. ‎The dominator chromatic number of corona products and of edge corona products is determined‎. ‎Sharp lower and upper bounds are given for the dominated chromatic number of edge corona products‎. ‎The dominator chromatic number of hierarchical products is bounded from above and the dominated chromatic number of hierarchical products with two factors determined‎. ‎An application of dominated colorings in genetic networks is also proposed‎.

Keywords

, dominator coloring‎, ‎dominated coloring‎, ‎corona product‎, ‎edge corona product‎, ‎hierarchical product‎.
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@article{paperid:1081112,
author = {Sandi Klavzar and Tavakoli, Mostafa},
title = {Dominated and dominator colorings over (edge) corona and hierarchical products},
journal = {Applied Mathematics and Computation},
year = {2021},
volume = {390},
number = {1},
month = {February},
issn = {0096-3003},
pages = {125647--125654},
numpages = {7},
keywords = {dominator coloring‎; ‎dominated coloring‎; ‎corona product‎; ‎edge corona product‎; ‎hierarchical product‎.},
}

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%0 Journal Article
%T Dominated and dominator colorings over (edge) corona and hierarchical products
%A Sandi Klavzar
%A Tavakoli, Mostafa
%J Applied Mathematics and Computation
%@ 0096-3003
%D 2021

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