Results 21 to 30 of about 394,923 (245)

Dominant Mixed Metric Dimension of Graph

Statistics, Optimization & Information Computing
For $k-$ordered set $W=\{s_1, s_2,\dots, s_k \}$ of vertex set $G$, the representation of a vertex or edge $a$ of $G$ with respect to $W$ is $r(a|W)=(d(a,s_1), d(a,s_2),\dots, d(a,s_k))$ where $a$ is vertex so that $d(a,s_i)$ is a distance between of the
R. Alfarisi, S. Husain, L. Susilowati, A. I. Kristiana   +3 more
semanticscholar   +2 more sources

The fractal dimension of resting state EEG increases over age in children. [PDF]

Cereb Cortex
Resting-state electroencephalography (rs-EEG) represents spontaneous neural activity and is increasingly analyzed using nonlinear measures to assess brain complexity. The Higuchi Fractal Dimension (HFD) is a widely used metric for quantifying the fractal
Tou SLJ, Chau T.
europepmc   +2 more sources

The Mixed Partition Dimension: A New Resolvability Parameter in Graph Theory

IEEE Access
In this article, we introduce a novel graph-theoretical parameter called the mixed partition dimension and apply it to the path graph and the hexagonal network.
Siti Norziahidayu Amzee Zamri, Sikander Ali, Muhammad Azeem, Husam A. Neamah, Bandar Almohsen   +4 more
doaj   +2 more sources

Study on mixed metric dimension of STAR and its Comb product with path

AIP Conference Proceedings, 2022
Darmaji, N. Azahra, R. Alfarisi
semanticscholar   +2 more sources

The comparative study of resolving parameters for a family of ladder networks

AIMS Mathematics, 2022
For a simple connected graph $ G = (V, E) $, a vertex $ x\in V $ distinguishes two elements (vertices or edges) $ x_1\in V, y_1 \in E $ if $ d(x, x_1)\neq d(x, y_1). $ A subset $ Q_m\subset V $ is a mixed metric generator for $ G, $ if every two distinct
Mohra Zayed, Ali Ahmad, Muhammad Faisal Nadeem, Muhammad Azeem   +3 more
doaj   +1 more source

On Resolvability- and Domination-Related Parameters of Complete Multipartite Graphs

Mathematics, 2022
Graphs of order n with fault-tolerant metric dimension n have recently been characterized.This paper points out an error in the proof of this characterization. We show that the complete multipartite graphs also have the fault-tolerant metric dimension n,
Sakander Hayat, Asad Khan, Yubin Zhong
doaj   +1 more source

The Vertex-Edge Resolvability of Some Wheel-Related Graphs

Journal of Mathematics, 2021
A vertex w∈VH distinguishes (or resolves) two elements (edges or vertices) a,z∈VH∪EH if dw,a≠dw,z. A set Wm of vertices in a nontrivial connected graph H is said to be a mixed resolving set for H if every two different elements (edges and vertices) of H ...
Bao-Hua Xing, Sunny Kumar Sharma, Vijay Kumar Bhat, Hassan Raza, Jia-Bao Liu   +4 more
doaj   +1 more source

Generalized perimantanes diamondoid structure and their edge-based metric dimensions

AIMS Mathematics, 2022
Due to its superlative physical qualities and its beauty, the diamond is a renowned structure. While the green-colored perimantanes diamondoid is one of a higher diamond structure.
Al-Nashri Al-Hossain Ahmad, Ali Ahmad
doaj   +1 more source

Frequency-aware Dimension Selection for Static Word Embedding by Mixed Product Distance [PDF]

arXiv.org, 2023
Static word embedding is still useful, particularly for context-unavailable tasks, because in the case of no context available, pre-trained language models often perform worse than static word embeddings.
Lingfeng Shen, Haiyun Jiang, Lemao Liu, Ying Chen   +3 more
semanticscholar   +1 more source

Gravitational dressing of D-instantons [PDF]

, 2000
The non-perturbative corrections to the universal hypermultiplet moduli space metric in the type-IIA superstring compactification on a Calabi-Yau threefold are investigated in the presence of 4d, N=2 supergravity.
Atiyah, Bagger, Bakas, Bakas, Becker, Becker, Besse, Boyer, Cecotti, de Wit, Ferrara, Gutperle, Günther, Harvey, Ketov, Ketov, Ketov, Ketov, Lawrence, LeBrun, Leznov, Olivier, Ooguri, Saveliev, Seiberg, Seiberg, Sergei V. Ketov, Strominger, Tod, Tod, Ward, Witten   +31 more
core   +4 more sources