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01416nam a2200217Ia 4500 |
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10.29020-nybg.ejpam.v15i2.4354 |
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220706s2022 CNT 000 0 und d |
| 020 |
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|a 13075543 (ISSN)
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| 245 |
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|a Monophonic Eccentric Domination Numbers of Graphs
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| 260 |
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|b New York Business Global
|c 2022
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| 856 |
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|z View Fulltext in Publisher
|u https://doi.org/10.29020/nybg.ejpam.v15i2.4354
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|a Let G be a (simple) undirected graph with vertex and edge sets V (G) and E(G), respectively. A set S ⊆ V (G) is a monophonic eccentric dominating set if every vertex in V (G) \S has a monophonic eccentric vertex in S. The minimum size of a monophonic eccentric dominating set in G is called the monophonic eccentric domination number of G. It shown that the absolute difference of the domination number and monophonic eccentric domination number of a graph can be made arbitrarily large. We characterize the monophonic eccentric dominating sets in graphs resulting from the join, corona, and lexicographic product of two graphs and determine bounds on their monophonic eccentric domination numbers. © 2022 EJPAM All rights reserved.
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|a corona
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| 650 |
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|a domination
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| 650 |
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|a eccentric
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| 650 |
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|a join
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| 650 |
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|a lexicographic product
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| 650 |
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|a Monophonic
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|a Canoy, S.R., Jr.
|e author
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|a Gamorez, A.E.
|e author
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| 773 |
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|t European Journal of Pure and Applied Mathematics
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