Results 21 to 30 of about 25,129 (234)
Edge and mixed metric dimension of Johnson graphs [PDF]
In this paper, both edge and mixed metric dimensions of Johnson graphs $J_{n,k}$ are considered. A new tight lower bound for $β_E(J_{n,k})$ based on hitting sets has been obtained. Using this bound, exact values for $β_E(J_{n,2})$ and $β_M(J_{n,2})$ have been derived, and it is proved that $β_E(J_{n,2}) = β_M(J_{n,2})$.
Kratica, Jozef +3 more
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Extremal mixed metric dimension with respect to the cyclomatic number [PDF]
Applied Mathematics and Computation, 2021 14 pages, 3 ...
Jelena Sedlar, Riste Skrekovski
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Conformally covariant operators of mixed-symmetry tensors and MAGs [PDF]
, 2023 We compute conformally covariant actions and operators for tensors with mixed symmetries in arbitrary dimension $d$. Our results complete the classification of conformal actions that are quadratic on arbitrary tensors with three indices, which allows to ...
Omar Zanusso +5 more
core +4 more sources
Multiset and Mixed Metric Dimension for Starphene and Zigzag-Edge Coronoid [PDF]
Polycyclic Aromatic Compounds, 2021 Let $Γ=(V,E)$ be a simple connected graph. A vertex $a$ is said to recognize (resolve) two different elements $b_{1}$ and $b_{2}$ from $V(Γ)\cup E(Γ)$ if $d(a, b_{1})\neq d(a, b_{2}\}$. A subset of distinct ordered vertices $U_{M}\subseteq V(Γ)$ is said to be a mixed metric generator for $Γ$ if each pair of distinct elements from $V\cup E$ are ...
Jia-Bao Liu +3 more
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The mixed metric dimension of wheel-like graphs
Journal of Physics: Conference Series, 2022 Abstract Consider the graph G = (V, E). It is a connected graph. It is a simple graph too. A node w ∈ V, then we call vertex, determined two elements of graph. There are vertices and edges of graphs. Any two vertices x, y ∈ E ∪ V if d(w, x) ≠ d(w, y), which d(w, x) and d(w, y) is the mixed distance of the element w (vertices or edges) in
null Darmaji, N Azahra
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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 +4 more
doaj +1 more source
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 +5 more
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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 +3 more
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Metamodel assisted mixed-integer evolution strategies based on Kendall rank correlation coefficient [PDF]
, 2017 Although mixed-integer evolution strategies (MIES) have been successfully applied to optimization of mixed-integer problems, they may encounter challenges when fitness evaluations are time consuming.
Zhuang, L, Jin, Y, Tang, K
core +6 more sources
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 +3 more
doaj +1 more source