Results 71 to 80 of about 219,967 (286)
Cubic Root Mean Difference Labeling Of Graphs
, 2023 Graceful and Harmonious Labeling, variation of graceful labeling are studied by Gallian [1]. The concepts of labeling by Somasundaram and ponraj[5]. Root square mean labeling of graphs has been introduced by sandhya , somosundaram and Anusa[8].
Tanveera Sultana. H.M, V.J.Sudhakar
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Advanced Science, EarlyView.A pneumatically actuated multi‐tissue microphysiological system is integrated with AI‐based machine vision and automatic sampling and replenishment systems. The platform allows for the emulation of translationally relevant long‐term pharmacokinetic exposure scenarios for multiple weeks while enabling longitudinal monitoring of response biomarkers ...
Jibbe Keulen +15 more
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Symmetric cryptography approach based on odd graceful labeling
Scientific AfricanIn 1967, Rosa proposed the concept of graph labeling of a graph and the concept of the odd graceful labeling was introduced by Gnanajothi in 1991 as follows: Consider a graph G with q edges to be odd-graceful if there is an injection f from V ( G ) t o {
M.E. Abdel-Aal +3 more
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Edge δ− Graceful Labeling for Some Cyclic-Related Graphs
Advances in Mathematical Physics, 2020 In this paper, we introduce a new type of labeling of a graph G with p vertices and q edges called edge δ− graceful labeling, for any positive integer δ, as a bijective mapping f of the edge set EG into the set δ,2δ,3δ,⋯,qδ such that the induced mapping ...
Mohamed R. Zeen El Deen
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Edge-Graceful Labelings of Connected Graphs
Electronic Notes in Discrete Mathematics, 2016 Abstract Let G be a connected edge-graceful ( p , q ) -graph with q = k p + r , where k is an integer and 0 ≤ r p . In this paper, we prove that every edge-graceful labeling f of G induces [ ( k + 1 ) ! ] r [ k ! ] p − r number of edge-graceful labelings of G.
K. Kayathri, R. Amutha
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Halide Perovskite: A Rich Source of Thermal Insulator
Advanced Science, EarlyView.Halide perovskites exhibit ultralow thermal conductivity driven by intrinsic lattice softness and strong anharmonicity, falling below conventional defect‐engineering limits. Weak metavalent bonding, A‐site rattling, and dynamic octahedral tilting drive phonon scattering to the Ioffe–Regel limit, where wave‐like tunneling replaces particle‐like ...
Haolin Ye +3 more
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On the Graceful Cartesian Product of Alpha-Trees
Theory and Applications of Graphs, 2017 A \emph{graceful labeling} of a graph $G$ of size $n$ is an injective assignment of integers from the set $\{0,1,\dots,n\}$ to the vertices of $G$ such that when each edge has assigned a \emph{weight}, given by the absolute value of the difference of the
Christian Barrientos, Sarah Minion
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Advanced Science, EarlyView.Whole‐blood biomimetic engineering transforms liquid metal nanoparticles into a tripartite immunotherapeutic platform that orchestrates regulatory T‐cell depletion, photothermal‐induced immunogenic cell death, and activation of the stimulator of interferon genes pathway.
Nina Sang, Eijiro Miyako
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Graceful labelling of the union of paths and cycles
Discrete Mathematics, 1999 The authors show that \(C_5\cup P_n\) is graceful and \(C_s\cup P_n\) is graceful for every \(s\geq 5\) when \(n\geq (s+ 5)/2\). This result is another step towards settling the conjecture that \(C_s\cup P_n\) is graceful whenever \(n+ s\geq 7\).
Sheshayya A. Choudum +1 more
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Advanced Science, EarlyView.A multifunctional EV‐based nanoplatform (Ang‐TEVs@Gel) was engineered via preconditioning, surface targeting, and ROS‐responsive hydrogel encapsulation to reprogram microglia. This system restored autophagy via miR‐664a‐3p/PIK3CA axis, cleared myelin debris, resolved neuroinflammation, and promoted axon remyelination, ultimately achieving robust motor ...
Wu Xiong +17 more
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