Results 91 to 100 of about 445,337 (327)

Two Sufficient Conditions for Hamilton and Dominating Cycles

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2012
We prove that if is a 2-connect graph of size (the number of edges) and minimum degree with , where when and when , then each longest cycle in is a dominating cycle.
Zh. G. Nikoghosyan
doaj   +1 more source

Magnetic Field‐Driven Spin State Transformation in Promoting the Catalytic Activity of Doped Single‐Atom for Hydrogen Evolution Reaction

open access: yesAdvanced Materials, EarlyView.
A ferromagnetic RuSAs/Ni2P@Fe3O4 material is designed via a synergistic strategy of single‐atom doping and magnetic field‐driven spin‐state transformation. This strategy introduces new Ru single‐atom active sites for the hydrogen evolution reaction and facilitates the transition of Fe3+ (3d t2g) low‐spin electrons to a high‐spin state (3d eg ...
Chenjing Wang   +9 more
wiley   +1 more source

Control of Covalent Bond Enables Efficient Magnetic Cooling

open access: yesAdvanced Materials, EarlyView.
Giant and reversible magnetocaloric effect (MCE) is achieved by tuning covalency through sub‐unit‐cell chemical engineering, establishing a novel design principle for effective hysteresis control in magnetocaloric materials. Abstract Magnetic cooling, harnessing the temperature change in matter when exposed to a magnetic field, presents an energy ...
Xin Tang   +16 more
wiley   +1 more source

Azaporphyrinoid‐Based Photo‐ and Electroactive Architectures for Advanced Functional Materials

open access: yesAdvanced Materials, EarlyView.
A long‐standing collaboration between the Torres and Guldi groups has yielded diverse azaporphyrinoid‐based donor‐acceptor nanohybrids with promising applications in solar energy conversion. This conspectus highlights key molecular platforms and structure‐function relationships that govern light and charge management, supporting the rational design of ...
Jorge Labella   +3 more
wiley   +1 more source

An explicit universal cycle for the (n-1)-permutations of an n-set

open access: yes, 2007
We show how to construct an explicit Hamilton cycle in the directed Cayley graph Cay({\sigma_n, sigma_{n-1}} : \mathbb{S}_n), where \sigma_k = (1 2 >... k).
Ruskey, Frank, Williams, Aaron
core   +1 more source

High‐Performance Zero‐Gap Glycerol‐Fed Electrolyzer for C3 Chemicals and Hydrogen Production

open access: yesAdvanced Materials, EarlyView.
This work presents a dynamic, self‐regulating operation strategy that enables selective glycerol electrooxidation in the OER‐free regime, co‐producing C3 chemicals and hydrogen at cell voltages below 1.25 V. Voltage‐ and temperature‐resolved analyses define optimal operating conditions, achieving a sustained current density of 500 mA cm−2 at ∼1.21 V ...
Shayan Angizi   +11 more
wiley   +1 more source

Graph Invariants and Large Cycles: A Survey

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
Graph invariants provide a powerful analytical tool for investigation of abstract substructures of graphs. This paper is devoted to large cycle substructures, namely, Hamilton, longest and dominating cycles and some generalized cycles including Hamilton ...
Zh. G. Nikoghosyan
doaj   +1 more source

Correlated Dual‐Gradient Electrodes Enabling Spatially Synchronized Sulfur Redox in High‐Mass‐Loading Li–S Batteries Under High Current Densities

open access: yesAdvanced Materials, EarlyView.
Coupling a dual‐gradient carbonized framework with Fe2O3/Fe‐N‐C catalytic sites enables spatially synchronized sulfur redox across the entire electrode thickness in high‐mass‐loading Li–S batteries. This synergistic structural–catalytic design effectively mitigates concentration, ohmic, and electrochemical polarization, thereby achieving high‐capacity ...
Yuxuan Zhang   +6 more
wiley   +1 more source

An update on the middle levels problem

open access: yes, 2006
The middle levels problem is to find a Hamilton cycle in the middle levels, M_{2k+1}, of the Hasse diagram of B_{2k+1} (the partially ordered set of subsets of a 2k+1-element set ordered by inclusion).
Savage, Carla D.   +2 more
core   +1 more source

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