Results 111 to 120 of about 2,028,246 (339)
A bound on the spectral radius of graphs
Linear Algebra and its Applications, 1988 AbstractLet G be a simple connected graph with n vertices and m edges. Let A be the adjacency matrix of G. The spectral radius ϱ(A) of A satisfies ϱ(A) ⩽ ;2m − n + 1 with equality if and only if G is isomorphic to one of the following two graphs: (a) the star K1,n−1; (b) the complete graph Kn.
Hong Yuan, Hong Yuan
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Bounds for the Spectral Radius of a Matrix [PDF]
Mathematics of Computation, 1965 obtain a sequence of bounds for p(A ) in terms of p(f A' I) (r = 1, 2, ) which are less than or equal to p( l A j) and converge to p(A ). In this manner we are partially accounting for the effect on p(A) of the phases of the ai,. In Section II we derive bounds for p(A) in terms of the Frobenius norm of A.
N. A. Derzko, A. M. Pfeffer
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Mechanical Properties of Different Austenitic High‐Nitrogen Steel Grades Produced by Powder Mixtures
Advanced Engineering Materials, EarlyView.The effect of nitrogen content on the mechanical properties of austenitic stainless steels is investigated using tailored powder metallurgical processing. Different PM routes, including additive manufacturing, enable controlled nitrogen uptake and complex geometries.
Felix Radtke +6 more
wiley +1 more source
The spectral radius of a planar graph
Linear Algebra and its Applications, 1993 AbstractA decomposition result for planar graphs is used to prove that the spectral radius of a planar graph on n vertices is less than 4 + √ 3 (n − 3). Moreover, the spectral radius of an outerplanar graph on n vertices is less than 1 + √2 + √2 + √n − 5.
Department of Mathematics University of Florida Gainesville, Florida 32611 USA ( host institution ) +2 more
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Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.A high‐performance n‐type element for quasi‐solid‐state thermocells has been introduced, outperforming conventional p‐type elements and showcasing the potential to harness body heat as an energy source or power embedded sensors. This advance significantly contributes to waste thermal energy harvesting and wearable technology, paving the way for self ...
Gilyong Shin +10 more
wiley +1 more source
On the maximum spectral radius of multipartite graphs
AKCE International Journal of Graphs and Combinatorics, 2020 Let be an integer. A graph is called r – partite if V admits a partition into r parts such that every edge has its ends in different parts. All of the r – partite graphs with given integer r consist of the class of multipartite graphs.
Jian Wu, Haixia Zhao
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Nano‐Patterned CuO Nanowire Nanogap Hydrogen Gas Sensor with Voids
Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.Sub‐5‐ppb hydrogen (H2) detection and sub‐10‐s response and recovery times are achieved based on nano‐patterned polycrystalline CuO nanowires nanogap gas sensors with voids using electron‐beam lithography and unique annealing processes. Pre‐H2 annealing, void‐generating oxidation, and downscaled nanogap electrodes are key to improving the sensing ...
Muqing Zhao +4 more
wiley +1 more source
Advanced Functional Materials, EarlyView.This study introduces a conductive nerve guidance conduit integrated with wireless electrical stimulation through alternating magnetic fields, which induces currents and creates a supportive microenvironment for nerve regeneration. In vivo studies show that this approach significantly enhanced myelin restoration, gastrocnemius muscle regeneration ...
Shiheng Liu +7 more
wiley +1 more source
The spectral radius of graphs with no intersecting odd cycles [PDF]
Discrete Mathematics, 2021 Yongtao Li, Yuejian Peng
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Advanced Functional Materials, EarlyView.Joule‐assisted nanotherapeutic urethral stent harnesses a smart, biodegradable magnesium stent to orchestrate spatiotemporal theragenerative therapy for urethral strictures. Magnetically induced Joule heating enables on‐demand drug release and bacterial ablation, while simultaneously guiding urothelial regeneration.
Yuhyun Na +15 more
wiley +1 more source