Results 81 to 90 of about 219,967 (286)
Graceful and Cordial Labeling Of Subdivision Of Graphs
Electronic Notes in Discrete Mathematics, 2016 Abstract An edge uv is said to be subdivided if the edge uv is replaced by the path P : u w v , where w is the new vertex. A graph obtained by subdividing each edge of a graph G is called subdivision of the graph G, and is denoted by S ( G ) .
K. Sankar, G. Sethuraman 0001
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Advanced Science, EarlyView.A biomimetic doppelgänger nanosystem neutralizes extracellular inflammatory cytokines and silences intracellular pyroptosis, reprogramming pathogenic macrophages to attenuate both joint and spine degeneration. ABSTRACT Osteoarthritis (OA) and intervertebral disc degeneration (IVDD) are debilitating musculoskeletal disorders driven by shared ...
Fudong Li +9 more
wiley +1 more source
Ordered graceful labellings of the 2-star
Discrete Mathematics, 2001 The authors investigate ordered graceful labellings of 2-stars. They give a lower bound on the number of non-equivalent ordered graceful labellings by constructing an exponential number of such labellings. This shows that a conjecture of Cahit is false.
Richard J. Nowakowski +1 more
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A Thickness‐Invariant Origami Robot With Integrated Actuation and Multimodal Locomotion
Advanced Science, EarlyView.A thickness‐invariant variation on the Yoshimura origami pattern is used as the basis of a robot, allowing power, actuation, and control systems to be embedded within the thickened panels of the pattern. The robot uses multiple kinematic branches to achieve distinct modes of locomotion, such as walking, running, galloping, and turning. ABSTRACT Origami
Davis Wing +4 more
wiley +1 more source
Advanced Science, EarlyView.Combined structure‐function assessment in aortic rings from Marfan mice using MechaMorph Opto‐Biomechatronics technology relates increased elasticity (stiffness) and dynamic viscosity and less ordered extracellular matrix 3D‐structure (collagen) as potential causes for impaired Windkessel function and compromised haemodynamics in Marfan's syndrome ...
Dominik Schneidereit +10 more
wiley +1 more source
Alpha labelings of full hexagonal caterpillars
AKCE International Journal of Graphs and Combinatorics, 2016 Barrientos and Minion (2015) introduced the notion of generalized snake polyomino graphs and proved that when the cells are either squares or hexagons, then they admit an alpha labeling. Froncek et al.
Dalibor Froncek
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Alpha graphs with different pendent paths
Electronic Journal of Graph Theory and Applications, 2020 Graceful labelings are an effective tool to find cyclic decompositions of complete graphs and complete bipartite graphs. The strongest kind of graceful labeling, the α-labeling, is in the center of the research field of graph labelings, the existence of ...
Christian Barrientos
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Advanced Science, EarlyView.Sleep disturbance severity closely tracks hearing loss in a clinical cohort, yet the mechanistic link remains unclear. Acute sleep deprivation is shown to trigger transient cochlear oxidative stress that switches into a self‐sustaining neuroinflammatory state, suppressing BK channels and causing irreversible synaptopathy.
Dan Chen +11 more
wiley +1 more source
, 2016 [[abstract]]Let G be a undirected graph with a vertex set V and an edge set E. Given a nonnegative integer set D. A D-graceful labeling f of G is an injection f : V → D such that {|f(x) − f(y)| ¯¯ xy ∈ E} = {1, 2, 3, . . . , |E|}.
顏經和 +3 more
core
The Graceful Coalescence of Alpha Cycles
Communications in Advanced Mathematical Sciences, 2019 The standard coalescence of two graphs is extended, allowing to identify two isomorphic subgraphs instead of a single vertex. It is proven here that any succesive coalescence of cycles of size $n$, where $n$ is divisible by four, results in an $\alpha ...
Christian Barrientos, Sarah Minion
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