Results 61 to 70 of about 110,665 (282)
Chromatic Polynomials of Oriented Graphs
The Electronic Journal of Combinatorics, 2019 The oriented chromatic polynomial of a oriented graph outputs the number of oriented $k$-colourings for any input $k$. We fully classify those oriented graphs for which the oriented graph has the same chromatic polynomial as the underlying simple graph, closing an open problem posed by Sopena.
Cox, Danielle, Duffy, Christopher
openaire +4 more sources
Advanced Functional Materials, EarlyView.MagPiezo enables wireless activation of endogenous Piezo1 channels without genetic modification using 19 nm magnetic nanoparticles and low‐intensity magnetic fields. It generates torque forces at the piconewton scale to trigger mechanotransduction in endothelial cells, standing as a novel platform to interrogate and manipulate Piezo1 activity in vitro.
Susel Del Sol‐Fernández +7 more
wiley +1 more source
Explicit formulas for chromatic polynomials of some series-parallel graphs
Учёные записки Казанского университета: Серия Физико-математические науки, 2018 The main goal of our paper is to present explicit formulas for chromatic polynomials of some planar series-parallel graphs (sp-graphs). The necklace-graph considered in this paper is the simplest non-trivial sp-graph.
E.Yu. Lerner, S.A. Mukhamedjanova
doaj
Zagreb Polynomials of Certain Families of Dendrimer Nanostars
Tikrit Journal of Pure Science, 2023 Let G be a simple connected graph with vertex set V(G) and edge set E(G). The first, second and third Zagreb polynomials of G are defined as , and A dendrimer is an artificially manufactured or synthesized molecule built up from branched units ...
Nabeel E. Arif
doaj +1 more source
, 2018 We study the time complexity of induced subgraph isomorphism problems where the pattern graph is fixed. The earliest known example of an improvement over trivial algorithms is by Itai and Rodeh (1978) who sped up triangle detection in graphs using fast matrix multiplication.
Bläser, Markus +2 more
openaire +4 more sources
Advanced Healthcare Materials, EarlyView.This study introduces an innovative approach to treating intervertebral disc degeneration using ultrasound‐triggered in situ hydrogel formation. Proof‐of‐concept experiments using optimized biomaterial and ultrasound parameters demonstrate partial restoration of biomechanical function and successful integration into degenerated disc tissue, offering a ...
Veerle A. Brans +11 more
wiley +1 more source
Extremal Bicyclic Graphs with Respect to Permanental Sums and Hosoya Indices
AxiomsGraph polynomials is one of the important research directions in mathematical chemistry. The coefficients of some graph polynomials, such as matching polynomial and permanental polynomial, are related to structural properties of graphs.
Tingzeng Wu, Yinggang Bai, Shoujun Xu
doaj +1 more source
On Motives Associated to Graph Polynomials
, 2005 The appearance of multiple zeta values in anomalous dimensions and $\beta$-functions of renormalizable quantum field theories has given evidence towards a motivic interpretation of these renormalization group functions. In this paper we start to hunt the
A. Borel +12 more
core +1 more source
Graph polynomials derived from Tutte–Martin polynomials
Discrete Mathematics, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Advanced Materials, EarlyView.AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
wiley +1 more source