Results 111 to 120 of about 22,755 (290)

Planarity and edge poset dimension [PDF]

, 1996
Different areas of discrete mathematics lead to intrinsically different characterizations of planar graphs. Planarity is expressed in terms of topology, combinatorics, algebra or search trees.
Ossona de Mendez, Patrice, De Fraysseix, Hubert, de Mendez, Patrice Ossona   +2 more
core   +1 more source

Column planarity and partially-simultaneous geometric embedding

Journal of Graph Algorithms and Applications, 2017
We introduce the notion of column planarity of a subset $R$ of the vertices of a graph $G$. Informally, we say that $R$ is column planar in $G$ if we can assign $x$-coordinates to the vertices in $R$ such that any assignment of $y$-coordinates to ...
Luis Barba, William Evans, Michael Hoffmann, Vincent Kusters, Maria Saumell, Bettina Speckmann   +5 more
doaj   +1 more source

Gradient‐Conductivity Architecture Enables Synchronous Enhancement of Sensitivity and Detection Range in Multifunctional All‐Paper Sensors

Advanced Functional Materials, EarlyView.
A gradient‐engineered all‐paper sensor is fabricated by integrating MXene and in situ grown AgNPs within hierarchical cellulose networks. The device breaks the sensitivity–detection range trade‐off through cascaded conductive pathways, enabling ultrahigh pressure sensitivity, humidity–pressure decoupled dual‐mode sensing, and outstanding EMI shielding,
Ao Li, Jun Xu, Dezhong Xu, Zhaohui Zhang, Jiyi Li, Daxian Cao, Kefu Chen, Mizi Fan   +7 more
wiley   +1 more source

OOPS: Optimized One-Planarity Solver via SAT

Journal of Graph Algorithms and Applications
We present OOPS (Optimized One-Planarity Solver), a practical heuristic for recognizing 1-planar graphs and several important subclasses. A graph is 1-planar if it can be drawn in the plane such that each edge is crossed at most once---a natural ...
Sergey Pupyrev
doaj   +1 more source

Bone‐Inspired Recyclable Composites for Damage‐Tolerant Circular Materials

Advanced Functional Materials, EarlyView.
Bone‐inspired architected composites are developed by combining osteon‐like reinforcements with a recyclable Elium thermoplastic matrix. The hierarchical architecture redirects cracks and promotes energy dissipation, while enabling recovery of intact, aligned, load‐bearing reinforcement units that retain their original stiffness, revealing a route ...
Alessandro Stagni, Nastaran Bahrami Novin, Luigi Benvenuto, Enrico Lertora, Flavia Libonati   +4 more
wiley   +1 more source

Beyond Outerplanarity

Computing in Geometry and Topology
We study straight-line drawings of graphs where the vertices are placed in convex position in the plane, i.e., convex drawings. We consider two families of graph classes with convex drawings: outer $k$-planar graphs, where each edge is crossed by at ...
Steven Chaplick, Myroslav Kryven, Giuseppe Liotta, Andre Löffler, Alexander Wolff   +4 more
doaj   +1 more source

Programmable Soft Actuator with Multi‐Responsiveness Based on Conductive MOF‐Liquid Crystal Polymer Composite

Advanced Functional Materials, EarlyView.
A sequential dual‐alignment strategy independently programs the orientation of conductive metal‐organic framework (c‐MOF) microrods and liquid crystals within a composite film. This approach creates an asymmetric bilayer structure that enables precise, multi‐responsive actuation.
Taegyun Hong, Geunho Kim, Changjae Lee, Sarang Lee, Jesse G. Park, Dong Ki Yoon   +5 more
wiley   +1 more source

A spherical fuzzy planar graph approach to optimize wire configuration in transformers

Frontiers in Physics
In this modern era, graph theory has become an integral part of science and technology. It has enormous applications in handling various design-based problems.
Hao Guan, Hao Guan, Saira Hameed, Sadaf, Aysha Khan, Jana Shafi   +5 more
doaj   +1 more source

Pressure‐Assisted Dimensional Transformation of 2D Hydrogenated Borophene into 0D Boron Quantum Dots

Advanced Functional Materials, EarlyView.
Hydrogenated borophene (HB) is transformed into distinct boron nanostructures through a solvent‐free thermal process. Under flowing nitrogen, hydrogen escape promotes reconstruction into B2O3 nanoplatelets, whereas hydrogen‐induced pressure under sealed conditions facilitates fragmentation into boron quantum dots.
Ozden Gunes Yildiz, Ramin Yazdaanpanah, Yongfeng Guo, Pouriya Naziri, Sachin Kulkarni, Martina Mercurio, Maria Cristina Larciprete, Ilaria Fratoddi, Paul Simon, Wan‐Lu Li, Koray Aydin, Umut Aydemir   +11 more
wiley   +1 more source

Preferential Interfacial Engineering of Hydrogels via Interdigitated Nanoparticle Assembly

Advanced Functional Materials, EarlyView.
Robust surface functionalization of hydrogel surfaces is performed via interdigitated metal nanoparticle assembly, inducing strong affinity with the hydrogel matrix. The partially exposed nanoparticle domains act as interfacial nanobridges that mediate both chemical and physical bonding with diverse materials, including small molecules, fluorous ...
Hyeonjin Kim, Hyeseoung Lim, Ji Min Lee, Heeyeon Kang, Yongkwon Song, Woojae Chang, So‐Jin Park, Jin Yoo, Atsushi Hozumi, Jinhan Cho, Jongkuk Ko, Sanghyuk Wooh   +11 more
wiley   +1 more source