Results 41 to 50 of about 34,637 (273)

On bounds for topological descriptors of φ-sum graphs

Journal of Taibah University for Science, 2020
The properties of chemical compounds are very important for the studies of the non-isomorphism phenomenon's related to the molecular graphs. Topological indices (TIs) are one of the mathematical tools which are used to study these properties.
Yu-Ming Chu, Saira Javed, Muhammad Javaid, Muhammad Kamran Siddiqui   +3 more
doaj   +1 more source

Finitely forcible graph limits are universal [PDF]

, 2018
The theory of graph limits represents large graphs by analytic objects called graphons. Graph limits determined by finitely many graph densities, which are represented by finitely forcible graphons, arise in various scenarios, particularly within ...
Cooper, Jacob W., Králʼ, Daniel, Martins, Taísa L.   +2 more
core   +1 more source

EXTREMAL THEORY OF ORDERED GRAPHS [PDF]

Proceedings of the International Congress of Mathematicians (ICM 2018), 2019
We call simple graphs with a linear order on the vertices ordered graphs. Turán-type extremal graph theory naturally extends to ordered graphs. This is a survey on the ongoing research in the extremal theory of ordered graphs with an emphasis on open problems.
openaire   +1 more source

Problems in extremal graph theory [PDF]

, 2010
We consider a variety of problems in extremal graph and set theory. The {\em chromatic number} of $G$, $\chi(G)$, is the smallest integer $k$ such that $G$ is $k$-colorable.
Ozkahya, Lale
core  

LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro

Molecular Oncology, EarlyView.
Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix, Daniel Samaga, Katharina Gehr, Benedek Dankó, Mohamed Schumann, Guido Drexler, Ahmed Alnatsha, Georg Beyer, Ujjwal Mahajan, Martin Selmansberger, Julia Mayerle, Claus Belka, Horst Zitzelsberger, Kirsten Lauber   +13 more
wiley   +1 more source

Maximal tree and unicylic graph for Euler Sombor index with given diameter

AKCE International Journal of Graphs and Combinatorics
The study of topological descriptors is essential for understanding the underlying structures of graphs and networks. Numerous numerical descriptors associated with graphs have been used to analyze their overall structure.
Zahid Raza, Shehnaz Akhter, Sourav Mondal, Modjtaba Ghorbani   +3 more
doaj   +1 more source

Genetic attenuation of ALDH1A1 increases metastatic potential and aggressiveness in colorectal cancer

Molecular Oncology, EarlyView.
Aldehyde dehydrogenase 1A1 (ALDH1A1) is a cancer stem cell marker in several malignancies. We established a novel epithelial cell line from rectal adenocarcinoma with unique overexpression of this enzyme. Genetic attenuation of ALDH1A1 led to increased invasive capacity and metastatic potential, the inhibition of proliferation activity, and ultimately ...
Martina Poturnajova, Zuzana Kozovska, Ondrej Pos, Kristina Pavlov, Sachin Gulati, Peter Makovicky, Kristina Jakic, Monika Burikova, Eva Sedlackova, Barbora Svitkova, Silvia Tyciakova, Vojtech Bystry, Nicolas Blavet, Boris Tichy, Matej Hrnciar, Jaroslav Budis, Miroslav Tomas, Peter Dubovan, Georgina Kolnikova, Veronika Repaska, Nikoleta Mojzesova, Eva Zomborska, Daniel Pindak, Michal Mego, Tomas Szemes, Miroslava Matuskova   +25 more
wiley   +1 more source

Extremal Topological Indices with Prescribed Degree Sequences

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
This paper explores the extremal properties and bounds of two significant topological indices in graph theory: the Albertson and Sigma indices, with an emphasis on trees and bipartite graphs.
Hamoud, J., Belov, A.Ya.
doaj   +1 more source

Choosing Wavelet Methods, Filters, and Lengths for Functional Brain Network Construction. [PDF]

PLoS ONE, 2016
Wavelet methods are widely used to decompose fMRI, EEG, or MEG signals into time series representing neurophysiological activity in fixed frequency bands.
Zitong Zhang, Qawi K Telesford, Chad Giusti, Kelvin O Lim, Danielle S Bassett   +4 more
doaj   +1 more source

On singular probability densities generated by extremal dynamics

, 2004
Extremal dynamics is the mechanism that drives the Bak-Sneppen model into a (self-organized) critical state, marked by a singular stationary probability density $p(x)$.
Bak, Boettcher, Bose, Caldarelli, Dickman, Dickman, Donangelo, Dorogovtsev, Drossel, Felici, Grassberger, Guilherme J.M. Garcia, Head, Head, Li, Marsili, Maslov, Meester, Mikeska, Paczuski, Paczuski, Pismak, Rios, Ronald Dickman   +23 more
core   +1 more source