Results 51 to 60 of about 828 (253)
A fundamental area of graph theory, graph labeling concerns the assignment of integers to the vertices, edges, or both of a graph under specified constraints. One of the many types of graph labeling is edge-graceful labeling.
John Rafael M. Antalan +3 more
doaj +1 more source
Edge even graceful labelling of new families of graphs
Elsonbaty and Daoud introduced a new type of labelling of a graph G with p vertices and q edges called an edge even graceful labelling. A graph G is called edge even graceful if there is a bijection $f: E(G) \rightarrow \{2, 4,\ldots , 2q\} $ such that ...
S. N. Daoud, Ahmed N. Elsawy
doaj +1 more source
In this article, we adapt the edge-graceful graph labeling definition into block designs and define a block design V,B with V=v and B=b as block-graceful if there exists a bijection f:B⟶1,2,…,b such that the induced mapping f+:V⟶Zv given by f+x=∑x∈AA ...
Dilara Erdemir, Emre Kolotoğlu
doaj +1 more source
The gracefulness of the join of graphs (II)
AbstractIn this paper, we present some new families of graceful join of graphs and propose a few unsolved problems in this area.
Khee Meng Koh, L. Y. Phoon, Kian Wee Soh
openaire +3 more sources
Intelligent Sky Guardians (InSkyGuard) is introduced as a four‐drone swarm that autonomously detects, tracks, and safely captures rogue drones using a coordinated net system. Computer vision and leader–follower control architecture enable synchronized enclosure, while integrated failsafes enhance system reliability. Validated through closed‐environment
Joshua Hastings +6 more
wiley +1 more source
Learning‐Based Soft Robotic Grasping: Recent Progress and Remaining Challenges
This review analyzes learning‐based soft robotic grasping from a pipeline‐oriented perspective, encompassing soft gripper design, multimodal sensing, and learning‐based planning and control. It surveys key neural network architectures and benchmark datasets and identifies critical challenges such as sim‐to‐real transfer, generalization, and continual ...
Arnab Majumder +3 more
wiley +1 more source
A multimodal intravital imaging platform enables longitudinal tracking of human cortical organoids transplanted into chronic stroke lesions. By combining surgical microscopy, MRI, bioluminescence imaging, and two‐photon fluorescence microscopy, the platform captures graft placement, viability dynamics, and cellular‐scale morphology in vivo, offering a ...
Jinghui Wang +12 more
wiley +1 more source
CLRe: A Synergistic Dual‐Engine Framework for One‐Step Retrosynthesis Prediction
CLRe uses a contrastive difficulty score to order pretrained seq2seq fine‐tuning for retrosynthesis. Reaction embeddings define the ranking score, and a cumulative easy‐to‐hard schedule expands from the easiest subset to the full training set while earlier examples remain active.
Tianhao Su +5 more
wiley +1 more source
A multifunctional EV‐based nanoplatform (Ang‐TEVs@Gel) was engineered via preconditioning, surface targeting, and ROS‐responsive hydrogel encapsulation to reprogram microglia. This system restored autophagy via miR‐664a‐3p/PIK3CA axis, cleared myelin debris, resolved neuroinflammation, and promoted axon remyelination, ultimately achieving robust motor ...
Wu Xiong +17 more
wiley +1 more source
An ultrafast (2‐minute), gas‐free chemical pre‐sodiation strategy using Na‐benzophenone is developed to compensate for initial sodium loss in calcium vanadate (CaV8O20). Driven by the Ca2+ ‘spectator effect’, the framework enables highly reversible, quasi‐zero‐strain solid‐solution sodium storage, explicitly bypassing destructive conversion reactions ...
Neetu Bansal +7 more
wiley +1 more source

