Results 131 to 140 of about 213,457 (302)

Total dominator chromatic number of some operations on a graph

Bulletin of Computational Applied Mathematics, 2018
Let G be a simple graph. A total dominator coloring of G is a proper coloring of the vertices of G in which each vertex of the graph is adjacent to every vertex of some color class.
Nima Ghanbari, Saeid Alikhani
doaj  

Asymmetry in Skipping Enhances Viability Against Control Input Noise

Advanced Robotics Research, EarlyView.
Quadruped animals use asymmetric galloping gaits at high speeds, yet the functional role of this asymmetry remains unclear. This study shows that left–right asymmetry in touchdown angles enhances robustness to control noise. Using a simple two‐legged locomotion model and viability theory, it demonstrates that asymmetric skipping substantially enlarges ...
Yuichi Ambe, Alvin So, Shinya Aoi
wiley   +1 more source

On a theorem about vertex colorings of graphs

Discrete Mathematics, 1987
A nice and short proof is given of the following Theorem: ``Let G be a finite graph. Let \(f_ 0,f_ 1,...,f_ n\) be real-valued functions on V(G) such that for every vertex v, \(\sum_{i}f_ i(v)>d(v)\) (the degree of v). Then there exists a colouring c: V(G)\(\to \{0,1,...,n\}\) such that every vertex v is adjacent to fewer than \(f_{c(v)}(v)\) vertices ...
openaire   +3 more sources

THE LOCATING RAINBOW CONNECTION NUMBERS OF LOLLIPOP AND BARBELL GRAPHS

Barekeng
The concept of the locating rainbow connection number of a graph is an innovation in graph coloring theory that combines the concepts of rainbow vertex coloring and partition dimension on graphs.
Ariestha Widyastuty Bustan, Taufan Talib, Novita Serly Laamena, Lamanisa Rasid Saputra, Nurhayati Nurhayati   +4 more
doaj   +1 more source

Author Correction: Vertex coloring of graphs via phase dynamics of coupled oscillatory networks. [PDF]

Sci Rep, 2018
Parihar A, Shukla N, Jerry M, Datta S, Raychowdhury A.   +4 more
europepmc   +1 more source

3D‐Printing Aided Rapid Prototyping of Pretensioned Tensegrity Structures for Robotic Applications

Advanced Robotics Research, EarlyView.
Printing, injection molding, and assembly (PMA) is a method for rapid prototyping mesoscale, topologically complex, and tensioned tensegrity structures. In combination with PMA method, two mold design strategies: modular mold and compact channel layout, enable efficiency and scalability for tensegrity fabrication.
Yi Sun, Jan Petrš, Omar Aloui, Dario Floreano   +3 more
wiley   +1 more source

A Pentaradial and Bilateral Combined Photoreception System in the Sea Cucumber is Mediated by a Blue Light‐Sensitive R‐Opsin

Advanced Science, EarlyView.
The sea cucumber Holothuria leucospilota detects blue and adjacent wavelengths of light via an r‐opsin with a maximum absorption at 459 nm. In the oral tentacles, papillae, and tube feet, distinct light‐sensing structures with specialized morphologies are formed, constituting a unique pentaradial and bilateral combined photoreception system.
Jiasheng Huang, Chunhua Ren, Zhou Qin, Yimeng Cui, Bingbing Zhang, Peng Luo, Xuan Wang, Yaoqi Xie, Xin Zhang, Aifen Yan, Yang Zhang, Dingding Fan, Yang Liu, Wenjie Pan, Xiao Jiang, Lihong Yuan, Haipeng Qin, David M. Irwin, Chaoqun Hu, Yang Liu, Ting Chen   +20 more
wiley   +1 more source

A Toolkit for Targeted Neuromodulation of Striatal Direct Pathway Neurons Rescues Parkinsonian Motor Deficits in Mice

Advanced Science, EarlyView.
An adeno‐associated virus (AAV) toolkit enables selective anatomical and functional targeting of striatal D1‐MSNs through retrograde transduction. Enhanced capsids and engineered enhancers drive robust transgene expression across murine and primate models.
Zexuan Hong, Yujing Zhang, Junjiao Zhang, Hanhe Liu, Qiwei Liu, Yanglei Li, Lixin Yang, Lixia Li, Zhongjie Liu, Zhen Yuan, Zhonghua Lu, Yefei Chen, Yuantao Li, Yuwu Jiang, Taian Liu   +14 more
wiley   +1 more source

The b$_q$-coloring of graphs [PDF]

Discrete Mathematics Letters, 2023
Brice Effantin
doaj   +1 more source

Automatically generated algorithms for the vertex coloring problem. [PDF]

PLoS One, 2013
Contreras Bolton C, Gatica G, Parada V.
europepmc   +1 more source