Results 101 to 110 of about 96,203 (274)
Hamiltonian cycles in 3-tough $2K_2$-free graphs [PDF]
arXiv, 2017 A graph is called $2K_2$-free if it does not contain two independent edges as an induced subgraph. Broersma, Patel, and Pyatkin showed that every 25-tough $2K_2$-free graph with at least three vertices is hamiltonian. In this paper, we improve the required toughness in this result from 25 to 3.
arxiv
Advanced Functional Materials, EarlyView.The electroplating of a CrCoNi medium‐entropy alloy is achieved using a mixture of an ionic liquid and an aqueous solution containing metal salts. The CrCoNi medium‐entropy alloy thin film exhibits high wear and corrosion resistance superior to conventional hard chromium coatings. Abstract High‐entropy alloys (HEAs) and medium‐entropy alloys (MEAs) are
Yuki Murakami +7 more
wiley +1 more source
Tight Toughness and Isolated Toughness for $\{K_2,C_n\}$-factor critical avoidable graph [PDF]
arXivA spannning subgraph $F$ of $G$ is a $\{K_2,C_n\}$-factor if each component of $F$ is either $K_{2}$ or $C_{n}$. A graph $G$ is called a $(\{K_2,C_n\},n)$-factor critical avoidable graph if $G-X-e$ has a $\{K_2,C_n\}$-factor for any $S\subseteq V(G)$ with $|X|=n$ and $e\in E(G-X)$.
arxiv
The spectrum and toughness of regular graphs [PDF]
arXiv, 2013 In 1995, Brouwer proved that the toughness of a connected $k$-regular graph $G$ is at least $k/\lambda-2$, where $\lambda$ is the maximum absolute value of the non-trivial eigenvalues of $G$. Brouwer conjectured that one can improve this lower bound to $k/\lambda-1$ and that many graphs (especially graphs attaining equality in the Hoffman ratio bound ...
arxiv
Advanced Functional Materials, EarlyView.A novel, high tensile modulus, fully aromatic thermotropic liquid crystalline polyimide (LCPI) with better solvent resistance and thermal stability is synthesized. Tensile specimens are fabricated using both injection molding and FFF processes, accomplished via lower viscosity enabled by the LC phase.
Zhenning Yu +6 more
wiley +1 more source
Predicting Fracture Energies and Crack-Tip Fields of Soft Tough Materials [PDF]
arXiv, 2015 Soft materials including elastomers and gels are pervasive in biological systems and technological applications. Whereas it is known that intrinsic fracture energies of soft materials are relatively low, how the intrinsic fracture energy cooperates with mechanical dissipation in process zone to give high fracture toughness of soft materials is not well
arxiv
Advanced Functional Materials, EarlyView.Emulating nature's unparalleled engineering, this work introduces butterfly‐inspired hybrid composites for high‐performance transportation and defense sectors. Leveraging biomimicry, these lightweight composites feature butterfly leg‐inspired hierarchical fibrous assemblies and butterfly wing‐inspired sandwich‐structured architecture, to achieve ...
Nello D. Sansone +7 more
wiley +1 more source
Multi‐Scaled Cellulosic Nanonetworks from Tunicates
Advanced Functional Materials, EarlyView.Microbial and plant nanonetworks of cellulose have enabled a wide range of high‐performance yet sustainable materials. Herein, a third class of cellulosic nanonetworks is showcased by exploiting the only animal tissue‐producing cellulose nanofibers, i.e., ascidians. An ultrastructure including spherical cells and a microvasculature with diameters of 50–
Mano Govindharaj +10 more
wiley +1 more source