Results 51 to 60 of about 17,820 (243)
To Prove Four Color Theorem [PDF]
, 2016 In this paper, we give a proof for four color theorem(four color conjecture). Our proof does not involve computer assistance and the most important is that it can be generalized to prove Hadwiger Conjecture. Moreover, we give algorithms to color and test
Cao, Weiwei, Yue, Weiya
core
Mixed Linear Layouts of Planar Graphs
, 2017 A $k$-stack (respectively, $k$-queue) layout of a graph consists of a total order of the vertices, and a partition of the edges into $k$ sets of non-crossing (non-nested) edges with respect to the vertex ordering. In 1992, Heath and Rosenberg conjectured
C Bachmaier +12 more
core +1 more source
Book embeddings of graphs [PDF]
, 2003 We use a structural theorem of Robertson and Seymour to show that for every minor-closed class of graphs, other than the class of all graphs, there is a number k such that every member of the class can be embedded in a book with k pages.
Blankenship, Robin Leigh
core +2 more sources
Advanced Materials, EarlyView.Glass, historically valued for its purity and durability, has long inspired artists and societies. This article introduces the concept of “Archeo‐Inspiration”, drawing on cultural and historical contexts of glass to guide future material innovations.
Eva von Contzen +3 more
wiley +1 more source
Geometric biplane graphs I: maximal graphs [PDF]
, 2015 We study biplane graphs drawn on a finite planar point set in general position. This is the family of geometric graphs whose vertex set is and can be decomposed into two plane graphs.
Garcia Olaverri, Alfredo Martin +7 more
core +2 more sources
Fold Walker: An Origami‐Inspired Quadruped Robot for Multipattern Locomotion and Object Grasping
Advanced Robotics Research, EarlyView.This article presents Fold Walker, an origami‐inspired quadruped robot capable of multipattern locomotion and object grasping. With each leg featuring two rotational folds, the robot can transform from a flat 2D configuration into complex 3D poses. Furthermore, its trunk and legs can be one‐shot 3D printed as a unified structure, greatly simplifying ...
Yilun Sun
wiley +1 more source
AASLD practice guidance on drug, herbal, and dietary supplement–induced liver injury
, 2022 Hepatology, EarlyView.
Robert J. Fontana +6 more
wiley +1 more source
A Canine Musculoskeletal Robot for Investigating Biomechanical Functions During Locomotion
Advanced Robotics Research, EarlyView.In this study, a dog limb musculoskeletal robot was developed using thin McKibben artificial muscles to investigate the effects of the dog's musculoskeletal structure on walking. Walking experiments were conducted in both indoor and outdoor environments, suggesting that the flexible structure of the dog's shoulders contributes to an increase in stroke ...
Hana Ito +6 more
wiley +1 more source
Visibility Representations of Boxes in 2.5 Dimensions
, 2016 We initiate the study of 2.5D box visibility representations (2.5D-BR) where vertices are mapped to 3D boxes having the bottom face in the plane $z=0$ and edges are unobstructed lines of sight parallel to the $x$- or $y$-axis.
A Gupta +29 more
core +1 more source
Advanced Science, EarlyView.By engaging in different active exploration behaviors, the tactile perception system can generate distinct signal modes, enabling the application of targeted decoding strategies for efficient and accurate perception of both external and internal object features.
Yuanzhi Zhou +8 more
wiley +1 more source