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On Total Vertex-Edge Domination

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Preprint 11 Jul 2018Publisher:MDPI AG
Authors: Şahin B.; Şahin A.;

doi: 10.20944/preprints201807.0195.v1

handle: 11729/2700 , 20.500.12395/38060 , 20.500.12501/722 , 20.500.12501/1352

On Total Vertex-Edge Domination

Abstract

A novel domination invariant defined by Boutrig and Chellali in the recent: total vertex-edge domination. In this paper we obtain an improved upper bound of total vertex edge-domination number of a tree. If  is a connected tree with order , then  with  and we characterize the trees attaining this upper bound. Furthermore we provide a characterization of trees  with

Related Organizations
Keywords

Total domination, total vertex-edge domination, total domination, Vertex-edge domination, Total vertex-edge domination, Domination;vertex-edge domination;total vertex-edge domination;total domination., Domination, algebra_number_theory, vertex-edge domination

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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