Results 81 to 90 of about 757,662 (296)
Cycle spectra of contraction-critically 4-connected planar graphs
, 2021 Motivated by the long-standing and wide open pancyclicity conjectures of Bondy and Malkevitch, we study the cycle spectra of contraction-critically 4-connected planar graphs.
Lo, On-Hei Solomon, Schmidt, Jens M.
core +1 more source
Intersection Graphs in Simultaneous Embedding with Fixed Edges
Journal of Graph Algorithms and Applications, 2009 We examine the problem for two planar graphs G1 and G2 with the focus on their intersection S = G1∩G2. In particular, we will present the complete set of intersection graphs S that guarantee a for (G1,G2).
Michael Jünger, Michael Schulz
doaj +1 more source
Journal of Combinatorial Theory, Series B, 1998 Given four distinct vertices in a 4-connected planar graph \(G\), we characterize when the graph \(G\) contains a \(K_4\)-subdivision with the given vertices as its degree three vertices. This result implies the following conjecture of Robertson and Thomas: a 5-connected planar graph has no \(K_4\)-subdivision with specified degree three vertices, if ...
openaire +2 more sources
CoRR, 2018 We show that for any $k \geq 0$, there exists a planar graph which is $B_{k+1}$-CPG but not $B_k$-CPG. As a consequence, we obtain that $B_k$-CPG is a strict subclass of $B_{k+1}$-CPG.
Nicolas Champseix +2 more
openaire +3 more sources
Laser‐Induced Graphene from Waste Almond Shells
Advanced Functional Materials, EarlyView.Almond shells, an abundant agricultural by‐product, are repurposed to create a fully bioderived almond shell/chitosan composite (ASC) degradable in soil. ASC is converted into laser‐induced graphene (LIG) by laser scribing and proposed as a substrate for transient electronics.
Yulia Steksova +9 more
wiley +1 more source
Advanced Functional Materials, EarlyView.ABSTRACT Chitosan, a polysaccharide upcycled from biowaste, has long promised sustainable, biocompatible, and antimicrobial films and devices, an appeal reinforced by its recent regulatory recognition, with several chitosan‐based antibacterial dressings gaining clearance through the Food and Drug Administration's 510(k) pathway.
Jacopo Nicoletti +16 more
wiley +1 more source
Structure‐Guided Dynamical Mechanics in Bioinspired Double Twisted Laminated Thin Films
Advanced Functional Materials, EarlyView.This work explores a dynamic mechanistic study of crack propagation and puncture testing via real‐time monitoring of crack initiation, propagation, and termination through nature‐inspired single and double twisted architectures fabricated from cellulose nanocrystals.
Justin Brackenridge +4 more
wiley +1 more source
On a Class of Planar Graphs with Straight-Line Grid Drawings on Linear Area
Journal of Graph Algorithms and Applications, 2009 A straight-line grid drawing of a planar graph G is a drawing of G on an integer grid such that each vertex is drawn as a grid point and each edge is drawn as a straight-line segment without edge crossings.
Md. Rezaul Karim, Md. Saidur Rahman
doaj +1 more source
Biodegradable and Biocompatible Functional Polymers for Biomedical Applications
Advanced Functional Materials, EarlyView.Biodegradable and biocompatible functional polymers integrate electrical, mechanical, and stimuli‐responsive functionalities while enabling programmed degradation under physiological conditions. This review introduces recent advances in conductive, shape‐memory, self‐healing, photocurable, and adhesive polymer systems, emphasizing material design ...
Won Bae Han +5 more
wiley +1 more source
Conformational Switching of Proteins on Material Surfaces Enabled by Peptide‐Oriented Adsorption
Advanced Functional Materials, EarlyView.Responsive biointerfaces could be achieved using conformationally responsive proteins; however, their interconversion can be lost upon surface adsorption. Herein, we demonstrate that the incorporation a Au binding peptide into calmodulin allows for binding control on Au wherein the protein retains conformational switching. This capability was confirmed
Sakthirupini Ramamurthy +7 more
wiley +1 more source