Results 101 to 110 of about 1,379,637 (289)
Planar Lombardi Drawings for Subcubic Graphs [PDF]
arXiv, 2012 We prove that every planar graph with maximum degree three has a planar drawing in which the edges are drawn as circular arcs that meet at equal angles around every vertex. Our construction is based on the Koebe-Thurston-Andreev circle packing theorem, and uses a novel type of Voronoi diagram for circle packings that is invariant under Moebius ...
arxiv
Advanced Engineering Materials, EarlyView.A simulative evaluation of triply periodic minimal surface (TPMS) structures for an elastocaloric application under compressive load is performed. For the evaluation of the structure's performance, surface/volume ratio, generated heat and invested mechanical work are taken into account and are compared to a tube as a reference specimen.
Michael Fries +3 more
wiley +1 more source
Tropically planar graphs [PDF]
arXiv, 2019 We study tropically planar graphs, which are the graphs that appear in smooth tropical plane curves. We develop necessary conditions for graphs to be tropically planar, and compute the number of tropically planar graphs up to genus $7$. We provide non-trivial upper and lower bounds on the number of tropically planar graphs, and prove that ...
arxiv
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
arXiv, 2017 A graph is NIC-planar if it admits a drawing in the plane with at most one crossing per edge and such that two pairs of crossing edges share at most one common end vertex. NIC-planarity generalizes IC-planarity, which allows a vertex to be incident to at most one crossing edge, and specializes 1-planarity, which only requires at most one crossing per ...
arxiv
Advanced Functional Materials, EarlyView.PBTTT‐OR‐R, a C14‐alkoxy/alkyl‐PBTTT polymer derivative, is of substantial interest for optoelectronics due to its specific fullerene intercalation behavior and enhanced charge‐transfer absorption. Comparing this polymer with (S) and without (O) homocoupling defects reveals that PBTTT‐OR‐R(O) forms stable co‐crystals with PC61BM, while PBTTT‐OR‐R(S ...
Zhen Liu +14 more
wiley +1 more source
An Efficient Polynomial Time Approximation Scheme for the Vertex Cover P3 Problem on Planar Graphs
Discussiones Mathematicae Graph Theory, 2019 Given a graph G = (V,E), the task in the vertex cover P3(V C P3) problem is to find a minimum subset of vertices F ⊆ V such that every path of order 3 in G contains at least one vertex from F.
Tu Jianhua, Shi Yongtang
doaj +1 more source
From Tutte to Floater and Gotsman: On the Resolution of Planar Straight-line Drawings and Morphs [PDF]
Discrete Mathematics & Theoretical Computer ScienceThe algorithm of Tutte for constructing convex planar straight-line drawings and the algorithm of Floater and Gotsman for constructing planar straight-line morphs are among the most popular graph drawing algorithms.
Giuseppe Di Battista, Fabrizio Frati
doaj +1 more source
Chemically Processed Porous V2O5 Thin‐Film Cathodes for High‐Performance Thin‐film Zn‐Ion Batteries
Advanced Functional Materials, Volume 35, Issue 12, March 18, 2025.This study presents a rapid, cost‐effective chemical method for fabricating porous vanadium oxide thin‐film cathodes, aimed at enhancing charge storage in Zinc‐ion thin‐film batteries. The approach promises high‐performance, safe, and affordable thin‐film batteries, with industrial viability through efficient processing of highly porous cathodes ...
Jingli Luo +9 more
wiley +1 more source