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THE PARTITION DIMENSION AND $k$-DOMINATION NUMBER OF TWO SPECIFIC GRAPHS [PDF]
Journal of Algebraic SystemsFor an ordered $k$-partition $\Omega = \{S_1, S_2, ..., S_k\}$ of vertex set of a connected graph $G$ and a vertex $v$ of $G$, the representation of $v$ with respect to $\Omega$ is defined as the $k$-tuple $r(v |\Omega) = (d(v, S_1), d(v, S_2), ..., d(v,
Ali Zafari, Saeid Alikhani
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The Partition Dimension of a Path Graph
, 2021 Resolving partition is part of graph theory. This article, explains about resolving partition of the path graph, with. Given a connected graph  and  is a subset of  writen .
Rahmi, Fathur, Ramdhani, Vivi
core
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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FEBS Letters, EarlyView.We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
wiley +1 more source
FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley +1 more source
The Mixed Partition Dimension: A New Resolvability Parameter in Graph Theory
IEEE AccessIn 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 +4 more
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DIMENSI PARTISI PADA GRAF GRID
, 2023 Graph G is a discrete set pair with the notation V(G) with its element called a vertex and the set of different and unordered pairs with the notation E(G) where the element is called edge.
Aris, Naimah +2 more
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The ubiquitin‐proteasome system and autophagy as guardians of the cellular proteome
FEBS Letters, EarlyView.This Perspective covers the three principles governing the crosstalk between the ubiquitin‐proteasome system and autophagy in cellular proteostasis: (1) a shared ubiquitin code routing substrates via shuttle factors or autophagy receptors; (2) spatial compartmentalization into phase‐separated degradation hubs and organelle‐specific modules (exemplified
Ivan Dikic
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Exchange Property in Double Edge Resolving Partition Sets and Its Use in City Development
Spectrum of Decision Making and ApplicationsThe exchange property in double-edge resolving partition sets is examined in this article, along with some real-world applications to city buildings. In graph theory, double-edge resolving sets are essential because they provide information on optimizing transportation and urban infrastructure. When utility units are switched out, the exchange property
Sikander Ali, Muhammad Kamran Jamil
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The Knowlton–Graham Partition Problem
, 1996 A set partition technique that is useful for identifying wires in cables can be recast in the language of 0–1 matrices, thereby resolving an open problem stated by R. L. Graham in Volume 1 of this journal.
Knuth, Donald E.
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