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DOMINATION AND EDGE DOMINATION IN TREES [PDF]

open access: yesUral Mathematical Journal, 2020
Let \(G=(V,E)\) be a simple graph. A set \(S\subseteq V\) is a dominating set if every vertex in \(V \setminus S\) is adjacent to a vertex in \(S\). The domination number of a graph \(G\), denoted by \(\gamma(G)\) is the minimum cardinality of a dominating set of \(G\). A set \(D \subseteq E\) is an edge dominating set if every edge in \(E\setminus D\)
B. Senthilkumar   +2 more
openaire   +4 more sources

Algorithmic domination in the gig economy

open access: yesEuropean Journal of Political Theory, 2022
Digital platforms and application software have changed how people work in a range of industries. Empirical studies of the gig economy have raised concerns about new systems of algorithmic management exercised over workers and how these alter the ...
James Muldoon, P. Raekstad
semanticscholar   +1 more source

Domination versus edge domination [PDF]

open access: yesDiscrete Applied Mathematics, 2020
We propose the conjecture that the domination number $ (G)$ of a $ $-regular graph $G$ with $ \geq 1$ is always at most its edge domination number $ _e(G)$, which coincides with the domination number of its line graph. We prove that $ (G)\leq \left(1+\frac{2( -1)}{ 2^ }\right) _e(G)$ for general $ \geq 1$, and $ (G)\leq \left(\frac{7}{6 ...
Baste, Julien   +4 more
openaire   +2 more sources

The case for epistocratic republicanism [PDF]

open access: yes, 2020
In recent years, the fortunes of democracy have waned both in theory and practice. This has added impetus not only to the republican case for strengthening democratic institutions but also to new anti-democratic thought.
Blunt, G. D.
core   +1 more source

Domination Reliability [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2012
In this paper, we propose a new network reliability measure for some particular kind of service networks, which we refer to as domination reliability. We relate this new reliability measure to the domination polynomial of a graph and the coverage probability of a hypergraph.
Dohmen, Klaus, Tittmann, Peter
openaire   +3 more sources

Upper paired domination versus upper domination [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2021
A paired dominating set $P$ is a dominating set with the additional property that $P$ has a perfect matching. While the maximum cardainality of a minimal dominating set in a graph $G$ is called the upper domination number of $G$, denoted by $\Gamma(G)$, the maximum cardinality of a minimal paired dominating set in $G$ is called the upper paired ...
Alizadeh, Hadi, Gözüpek, Didem
openaire   +5 more sources

Mill and Pettit on Freedom, Domination, and Freedom-as-Domination [PDF]

open access: yes, 2019
Pettit endorses a ‘republican’ conception of social freedom of the person as consisting of a state of non-domination, and takes this to refute Mill’s ‘liberal’ claim that non-domineering but coercive interference can compromise social freedom of choice ...
Beaumont, Tim
core   +2 more sources

Relating domination, exponential domination, and porous exponential domination

open access: yesDiscrete Optimization, 2017
The domination number $ (G)$ of a graph $G$, its exponential domination number $ _e(G)$, and its porous exponential domination number $ _e^*(G)$ satisfy $ _e^*(G)\leq _e(G)\leq (G)$. We contribute results about the gaps in these inequalities as well as the graphs for which some of the inequalities hold with equality.
Henning, Michael A.   +2 more
openaire   +3 more sources

Varieties of Roman domination II

open access: yesAKCE Int. J. Graphs Comb., 2020
In this work, we continue to survey what has been done on the Roman domination. More precisely, we will present in two sections several variations of Roman dominating functions as well as the signe...
M. Chellali   +3 more
semanticscholar   +1 more source

Domination, eternal domination and clique covering

open access: yesDiscussiones Mathematicae Graph Theory, 2015
16 pages, 3 ...
Klostermeyer William F., Mynhardt C.M.
openaire   +3 more sources

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