Results 11 to 20 of about 345,858 (279)
On the k-partition dimension of graphs [PDF]
Theoretical Computer Science, 2020 19 pages, 3 ...
Alejandro Estrada-Moreno
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Bounds for partition dimension of M-wheels
Open Physics, 2019 Resolving partition and partition dimension have multipurpose applications in computer, networking, optimization, mastermind games and modelling of chemical substances.
Hussain Zafar +6 more
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Partition Dimension of Generalized Hexagonal Cellular Networks and Its Application
IEEE AccessThe notion of partition dimension was initially introduced in the field of graph theory, primarily to examine distances between vertices. The local partition dimension extends this idea by incorporating specific conditions into how vertices are ...
Rabnawaz Bhatti +3 more
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Brick partition problems in three dimensions [PDF]
Discrete Mathematics, 2021 A $d$-dimensional brick is a set $I_1\times \cdots \times I_d$ where each $I_i$ is an interval. Given a brick $B$, a brick partition of $B$ is a partition of $B$ into bricks. A brick partition $\mathcal{P}_d$ of a $d$-dimensional brick is $k$-piercing if every axis-parallel line intersects at least $k$ bricks in $\mathcal{P}_d$. Bucic et al. explicitly
Ilkyoo Choi, Minseong Kim, Kiwon Seo
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Fractal dimension computation from equal mass partitions [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2014 11 pages, 11 ...
Shiozawa, Yui +2 more
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Anomalous dimensions from thermal AdS partition functions [PDF]
Journal of High Energy Physics, 2020 Abstract We develop an efficient method for computing thermal partition functions of weakly coupled scalar fields in AdS. We consider quartic contact interactions and show how to evaluate the relevant two-loop vacuum diagrams without performing any explicit AdS integration, the key step being the use of Källén-Lehmann type ...
Kraus, Per +2 more
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Fault-Tolerant Partition Resolvability in Mesh Related Networks and Applications
IEEE Access, 2022 Fault-tolerance of a system measures its working capability in the presence of faulty components in the system. The fault-tolerant partition dimension of a network computes the least number of subcomponents of network required to distinctively identify ...
Kamran Azhar +4 more
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Partition dimension and strong metric dimension of chain cycle
Discrete Applied Mathematics, 2020 Let $G$ be a connected graph with vertex set $V(G)$ and edge set $E(G)$. For an ordered $k$-partition $ =\{Q_1,\ldots,Q_k\}$ of $V(G)$, the representation of a vertex $v \in V(G)$ with respect to $ $ is the $k$-vectors $r(v| )=(d(v,Q_1),\ldots,d(v,Q_k))$, where $d(v,Q_i)$ is the distance between $v$ and $Q_i$.
Rehman, Talmeez Ur, Mehreen, Naila
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On Partition Dimension of Generalized Convex Polytopes
Journal of Mathematics, 2023 Let G be a graph having no loop or multiple edges, k−order vertex partition for G is represented by γ=γ1,γ2,…,γk. The vector rϕγ=dϕ,γ1,dϕ,γ2,dϕ,γ3⋯,dϕ,γk is the representation of vertex ϕ with respect to γ.
Syed Waqas Shah +5 more
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The Application of Fault-Tolerant Partition Resolvability in Cycle-Related Graphs
Applied Sciences, 2022 The concept of metric-related parameters permeates all of graph theory and plays an important role in diverse networks, such as social networks, computer networks, biological networks and neural networks.
Kamran Azhar +4 more
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