Results 1 to 10 of about 3,254,426 (235)

Some new general lower bounds for mixed metric dimension of graphs [PDF]

Filomat, 2021
A vertex w ? V resolves two elements x, y ? V ? E if d(w,x) ? d(w,y). The mixed resolving set is a set of vertices S, S ? V if any two elements of E ? V are resolved by some element of S. The minimum cardinality of a mixed resolving set is called the mixed metric dimension of a graph G.
Milivojević-Danas, Milica, Kratica J., Savíc A., Maksimovíc Z.   +3 more
openaire   +5 more sources

UAV-Assisted Fair Communication for Mobile Networks: A Multi-Agent Deep Reinforcement Learning Approach

Remote Sensing, 2022
Unmanned Aerial Vehicles (UAVs) can be employed as low-altitude aerial base stations (UAV-BSs) to provide communication services for ground users (GUs).
Yi Zhou, Zhanqi Jin, Huaguang Shi, Zhangyun Wang, Ning Lu, Fuqiang Liu   +5 more
doaj   +1 more source

On mixed metric dimension in subdivision, middle, and total graphs

Quaestiones Mathematicae, 2023
Let $G$ be a graph and let $S(G)$, $M(G)$, and $T(G)$ be the subdivision, the middle, and the total graph of $G$, respectively. Let ${\rm dim}(G)$, ${\rm edim}(G)$, and ${\rm mdim}(G)$ be the metric dimension, the edge metric dimension, and the mixed metric dimension of $G$, respectively.
Ali Ghalavand, Sandi Klavžar, Mostafa Tavakoli, Ismael G. Yero   +3 more
openaire   +3 more sources

Graphs with mixed metric dimension three and related algorithms

AIMS Mathematics, 2023
<abstract><p>Let $ G = (V, E) $ be a simple connected graph. A vertex $ x\in V(G) $ resolves the elements $ u, v\in E(G)\cup V(G) $ if $ d_G(x, u)\neq d_G(x, v) $. A subset $ S\subseteq V(G) $ is a mixed metric resolving set for $ G $ if every two elements of $ G $ are resolved by some vertex of $ S $. A set of smallest cardinality of mixed
Dalal Awadh Alrowaili, Uzma Ahmad, Saira Hameeed, Muhammad Javaid   +3 more
openaire   +2 more sources

Investigating diversity in European audiences for public engagement with research: Who attends European Researchers' Night in Ireland, the UK and Malta?

PLoS ONE, 2021
European Researchers' Night is an annual pan-European synchronized event devoted to public engagement with research. It was first held in 2005 and now occurs in over 400 cities across Europe, with the aim of bringing researchers closer to the general ...
Aaron Michael Jensen, Eric Allen Jensen, Edward Duca, Joseph Roche   +3 more
doaj   +1 more source

A Differential-Geometric Approach to Quantum Ignorance Consistent with Entropic Properties of Statistical Mechanics

Entropy, 2023
In this paper, we construct the metric tensor and volume for the manifold of purifications associated with an arbitrary reduced density operator ρS. We also define a quantum coarse-graining (CG) to study the volume where macrostates are the manifolds of ...
Shannon Ray, Paul M. Alsing, Carlo Cafaro, H S. Jacinto   +3 more
doaj   +1 more source

Double resolvability parameters of fosmidomycin anti-malaria drug and exchange property

Heliyon
The practical and theoretical significance of the resolvability parameter makes it an important factor, particularly in the context of network analysis.
Rashad Ismail, Sikander Ali, Muhammad Azeem, Manzoor Ahmad Zahid   +3 more
doaj   +1 more source

Honeycomb Rhombic Torus Vertex-Edge Based Resolvability Parameters and Its Application in Robot Navigation

IEEE Access
In the aircraft sector, honeycomb composite materials are frequently employed. Recent research has demonstrated the benefits of honeycomb structures in applications involving nanohole arrays in anodized alumina, micro-porous arrays in polymer thin films,
Sidra Bukhari, Muhammad Kamran Jamil, Muhammad Azeem, Senesie Swaray   +3 more
doaj   +1 more source

Skew semi-invariant submanifolds of generalized quasi-Sasakian manifolds

Karpatsʹkì Matematičnì Publìkacìï, 2018
In the present paper,  we study a new class of submanifolds of a generalized Quasi-Sasakian manifold, called skew semi-invariant submanifold. We obtain integrability conditions of the distributions on a skew semi-invariant submanifold and also find the ...
M.D. Siddiqi, A. Haseeb, M. Ahmad
doaj   +1 more source

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 vertex $v$ and the vertices in $W$ and $a=uv$ is edge so that $d(a,s_i)=min\{d(u,s_i),d(v,s_i ...
Ridho Alfarisi, Sharifah Kartini Said Husain, Liliek Susilowati, Arika Indah Kristiana   +3 more
openaire   +1 more source