Computing Eccentricity Based Topological Indices of Octagonal Grid O n m
Graph theory is successfully applied in developing a relationship between chemical structure and biological activity. The relationship of two graph invariants, the eccentric connectivity index and the eccentric Zagreb index are investigated with regard ...
Xiujun Zhang +3 more
doaj +1 more source
New AI‐Assisted Approach for Expanding the Solution Space: Application to Lattice Structure Design
This work introduces an innovative framework for designing structured materials by ex panding the design space through reparameterization of qualitative variables into continuous structural descriptors. Combined with machine‐learning‐based prediction and multi‐objective optimization, the approach enables the discovery of novel lattice architectures ...
G. H. Gahimbare +5 more
wiley +1 more source
Finding minimal vertex extensions of a colored undirected graph
Background. The research considers the results of the finding minimal vertex extensions of the colored undirected graphs. This topic relates to the modelling of the completely fault tolerant technical systems with the different typed objects in the ...
M.B. Abrosimov, P.V. Razumovsky
doaj +1 more source
Study of eccentricity based topological indices for benzenoid structure
Topological indices play paramount role in defining chemical and structural properties of different compounds. Chemical graph theory is useful for predicting the bioactivity and physicochemical properties through numerical invariants.
Kamel Jebreen +5 more
doaj +1 more source
A Generalization of a Theorem of Diderrich in Additive Group Theory to Vertex-transitive Graphs
Consider a vertex-transitive (finite) directed graph \(X=(V,E)\). Let \(\kappa (X)\) be its connectivity number in directed sense. As known, each indegree and each outdegree in \(X\) equals \(|E|/ |X|\). Denote this number by \(d\). It is shown that \(d= \kappa (X)\) if there is no transitive triangle in \(X\).
openaire +2 more sources
This review examines how cellular behavior is regulated by mechanical cues transmitted through soft biomaterials, from single‐cell mechanosensing to tissue‐level adaptation. It highlights why physiological relevance, rather than model complexity alone, is critical for translational mechanobiology and introduces a scoring framework linking material ...
Mathias Polz +9 more
wiley +1 more source
Encoded Cell‐Material Interactions to Reroute Cytokine Signaling for Regenerative Medicine
We present native MATRIX (Material Activated To Regulate Inducible gene eXpression), a co‐engineered material‐cell platform. Surfaces functionalized with antibodies for endogenous soluble ligands (e.g., IL‐1β or IL‐6) capture and immobilize ligands for presentation to a cognate, engineered synthetic Notch receptor, releasing a transcription factor (TF)
Zachary M. Eidman +7 more
wiley +1 more source
THE LOCATING RAINBOW CONNECTION NUMBERS OF LOLLIPOP AND BARBELL GRAPHS
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 +4 more
doaj +1 more source
Online Graph Topology Learning via Time-Vertex Adaptive Filters: From Theory to Cardiac Fibrillation
Graph Signal Processing (GSP) provides a powerful framework for analysing complex, interconnected systems by modelling data as signals on graphs. While recent advances have enabled graph topology learning from observed signals, existing methods often struggle with time-varying systems and real-time applications. To address this gap, we introduce AdaCGP,
Alexander Jenkins +4 more
openaire +2 more sources
Spin‐Split Edge States in Metal‐Supported Graphene Nanoislands Obtained by CVD
Combining STM measurements and ab‐initio calculations, we show that zig‐zag edges in graphene nanoislands grown on Ni(111) by CVD retrieve their spin‐polarized edge states after intercalation of a few monolayers of Au. ABSTRACT Spin‐split states localized on zigzag edges have been predicted for different free‐standing graphene nanostructures.
Michele Gastaldo +6 more
wiley +1 more source

