Tootfinder

Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings
Sarah Anderson, Mike Axtell, Brenda Kroschel, Joe Stickles
https://arxiv.org/abs/2506.02953

Domination and Total Domination Numbers in Zero-divisor Graphs of Commutative Rings
Zero-divisor graphs of commutative rings are well-represented in the literature. In this paper, we consider dominating sets, total dominating sets, domination numbers and total domination numbers of zero-divisor graphs. We determine the domination and total domination numbers of zero-divisor graphs are equal for all zero-divisor graphs of commutative rings except for $\mathbb{Z}_2 \times D$ in which $D$ is a domain. In this case, $γ(Γ(\mathbb{Z}_2 \times D)) = 1$ and $γ_t(Γ(\mathbb{Z}_2 \ti…

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bison: Bison dominance
Dominance relations among a group of American bisons in the National Bison Range in Moiese Montana, observed in 1972.
This network has 26 nodes and 314 edges.
Tags: Social, Animal, Weighted
https://networks.skewed.de/net/bison
Ridiculogram:

Trump shows his dominance over Congress in passing the 'big, beautiful bill' (NBC News)
https://www.nbcnews.com/politics/donald-trump/trump-dominance-congress-passing-big-beautiful-bill-rcna216747
http://www.memeorandum.com/250704/p11#a250704p11

kangaroo: Grey kangaroo dominance
Dominance relations among a group of free-ranging grey kangaroos (Macropus giganteus). Edge weights represent the frequency of interaction. The two versions below are equivalent.
This network has 17 nodes and 91 edges.
Tags: Social, Animal, Weighted
https://networks.skewed.de/net/kangar…

The rise of China, along with regional powers such as Turkey, Indonesia and Saudi Arabia, has disrupted the unipolar dominance of the U.S.
These would-be regional hegemons bring with them their own means of imposing influence through economic incentives and coercion.
In China’s case, infrastructure and trade development through the Belt and Road Initiative is counterbalanced with shows of military strength in the South China Sea.
As the global order becomes increasingly fragm…

Are hegemonies a relic of the past? The role of coercion and consent in global domination
From Athens to the British Empire and on to the US – dominant powers have used might and consent to exert influence.

A New 5 bit/2D-symbol Modulation Format for Relative Intensity Noise-dominated IM-DD Systems
Felipe Villenas, Kaiquan Wu, Yunus Can G\"ultekin, Jamal Riani, Alex Alvarado
https://arxiv.org/abs/2506.01761

A New 5 bit/2D-symbol Modulation Format for Relative Intensity Noise-dominated IM-DD Systems
We propose a novel 5-bit/2D-symbol modulation format based on PAM-6 optimized for IM-DD systems dominated by relative intensity noise. The proposed modulation scheme improves SNR by 0.94 dB compared to conventional PAM-6 and achieves near-optimal BER performance.

kangaroo: Grey kangaroo dominance
Dominance relations among a group of free-ranging grey kangaroos (Macropus giganteus). Edge weights represent the frequency of interaction. The two versions below are equivalent.
This network has 17 nodes and 91 edges.
Tags: Social, Animal, Weighted
https://networks.skewed.de/net/kangar…

This https://arxiv.org/abs/2404.08776 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Complexity of the game connected domination problem
The connected domination game is a variation of the domination game where the played vertices must form a connected subgraph at all stages of the game. In this paper we prove that deciding whether the game connected domination number is smaller than a given integer is PSPACE-complete using log-space reductions for both Dominator- and Staller-start connected domination game.

Multipacking in Hypercubes
Deepak Rajendraprasad, Varun Sani, Birenjith Sasidharan, Jishnu Sen
https://arxiv.org/abs/2507.01565 https://

Multipacking in Hypercubes
For an undirected graph $G$, a dominating broadcast on $G$ is a function $f : V(G) \rightarrow \mathbb{N}$ such that for any vertex $u \in V(G)$, there exists a vertex $v \in V(G)$ with $f(v) \geqslant 1$ and $d(u,v) \leqslant f(v)$. The cost of $f$ is $\sum_{v \in V} f(v)$. The minimum cost over all the dominating broadcasts on $G$ is defined as the broadcast domination number $γ_b(G)$ of $G$. A multipacking in $G$ is a subset $M \subseteq V(G)$ such that, for every vertex $v \in V(G)$ and ev…