Results 41 to 50 of about 2,463 (224)

Isoperimetric Inequalities for Cartesian Products of Graphs [PDF]

Combinatorics, Probability and Computing, 1998
The authors define another number (isoperimetric invariant) describing the bisection behavior of graphs with weights on vertices and edges, which specializes to Mohar's isoperimetric number and to the Cheeger constant for some choices of weights. They prove an alternative characterization of this number which replaces the minimum over the bisections of
Fan R. K. Chung, Prasad Tetali
openaire   +2 more sources

An Innervated Human Skin Equivalent that Electrically Encodes Mechanical and Thermal Stimuli

Advanced Science, EarlyView.
An innervated human skin equivalent is integrated with high‐density microelectrode arrays to reveal how engineered free nerve ending–like structures translate touch and temperature into electrical codes. Mechanical indentation and thermal stimulation engage the engineered somatosensory circuitry and evoke distinct firing and waveform signatures ...
Daniele Bellantoni, Costantino Casale, Marika Sperduti, Nevio L. Tagliamonte, Giorgia Imparato, Loredana Zollo, Paolo A. Netti   +6 more
wiley   +1 more source

Strong incidence domination in some operations of fuzzy incidence graphs and application in security allocation

International Journal of Mathematics for Industry
This paper explores operations on fuzzy incidence graphs (FIGs), focusing on join, Cartesian product, tensor product, and composition. Emphasizing strong fuzzy incidence graphs (SFIGs), the study examines strong incidence domination (SID) and the strong ...
Kavya R. Nair, M. S. Sunitha
doaj   +1 more source

Switching Spike Plasticity Shapes ACE2 Engagement Across SARS‐CoV‐2 Variants

Advanced Science, EarlyView.
Conformational plasticity governs SARS‐CoV‐2 spike function and ACE2 recognition. Using high‐speed AFM and single‐molecule force spectroscopy, we analyzed the ancestral spike and nine variants, revealing progressive rigidification from Delta, variable plasticity in Omicron sublineages, and JN.1 compaction.
Sarah Stainer, Rong Zhu, Manuel Reithofer, Gerhard Stadlmayr, Katharina Stadlbauer, Panchika Prangkio, Christoph Rippel, Markus Hahn, Aniko Eva Kasztner, Stefanie Stohl, Petr Bednar, Daniel Ruzek, David Glück, Robert Tampé, Gordana Wozniak‐Knopp, Yoo Jin Oh, Miriam Klausberger, Peter Hinterdorfer   +17 more
wiley   +1 more source

Aggregating distributed energy resources for grid flexibility services: A distributed game theoretic approach

International Journal of Robust and Nonlinear Control, EarlyView., 2023
Abstract We propose a hierarchical energy management scheme for aggregating Distributed Energy Resources (DERs) for grid flexibility services. To prevent a direct participation of numerous prosumers in the wholesale electricity market, aggregators, as self‐interest agents in our scheme, incentivize prosumers to provide flexibility. We firstly model the
Xiupeng Chen, Mehran Shakarami, Jacquelien M. A. Scherpen, Nima Monshizadeh   +3 more
wiley   +1 more source

The damage number of the Cartesian product of graphs

CoRR, 2023
We consider a variation of Cops and Robber, introduced in [D. Cox and A. Sanaei, The damage number of a graph, [Aust. J. of Comb. 75(1) (2019) 1-16] where vertices visited by a robber are considered damaged and a single cop aims to minimize the number of distinct vertices damaged by a robber. Motivated by the interesting relationships that often emerge
Melissa A. Huggan, Margaret-Ellen Messinger, Amanda Porter 0001   +2 more
openaire   +3 more sources

Eccentric Harmonic Index for the Cartesian Product of Graphs

Journal of Mathematics, 2022
Suppose ρ is a simple graph, then its eccentric harmonic index is defined as the sum of the terms 2/ea+eb for the edges vavb, where ea is the eccentricity of the ath vertex of the graph ρ. We symbolize the eccentric harmonic index (EHI) as He=Heρ.
Kamel Jebreen, Muhammad Haroon Aftab, M. I. Sowaity, B. Sharada, A. M. Naji, M. Pavithra   +5 more
doaj   +1 more source

DyProL: Dynamic Ensemble Representation Learning for Protein–Nucleic Acid Binding Site Prediction

Advanced Science, EarlyView.
Protein function is represented as a dynamic conformational ensemble rather than a single static structure. A multi‐conformation geometric attention framework aligns, clusters, and learns representative states to capture residue‐ and ensemble‐level signals. Integrating structural dynamics improves interpretable protein‐NA binding prediction and reveals
Pengpai Li, Yiman Liu, Liya Liang, Rongming Liu   +3 more
wiley   +1 more source

Connection Number- Based Topological Indices of Cartesian Product of Graphs

Journal of Mathematics, 2023
The area of graph theory (GT) is rapidly expanding and playing a significant role in cheminformatics, mostly in mathematics and chemistry to develop different physicochemical, chemical structure, and their properties.
Aiman Arshad, Aqsa Sattar, Muhammad Javaid, Mamo Abebe Ashebo   +3 more
doaj   +1 more source

Some Results on Palette Index of Cartesian Product Graphs

Mathematical Problems of Computer Science, 2021
Given a proper edge coloring α of a graph G, we define the palette SG(ν, α) of a vertex ν ∈ V (G) as the set of all colors appearing on edges incident to ν. The palette index š(G) of G is the minimum number of distinct palettes occurring in a proper edge
Khachik S. Smbatyan
doaj   +1 more source