Results 41 to 50 of about 450,197 (278)

Wavelets and graph $C^*$-algebras

, 2016
Here we give an overview on the connection between wavelet theory and representation theory for graph $C^{\ast}$-algebras, including the higher-rank graph $C^*$-algebras of A. Kumjian and D. Pask.
A. Jonsson, A. Kumjian, A. Kumjian, A. Kumjian, A. Kumjian, A. Kumjian, A. Sims, A. Sims, A. Skalski, C. Farsi, C. Farthing, D. Dutkay, D. Hammond, D. Hammond, D. Pask, D. Pask, D. Pask, D. Pask, D. Pask, D.E. Dutkay, D.E. Dutkay, D.G. Evans, D.I. Robertson, D.I. Robertson, D.W. Kribs, F.K. Chung, G. Robertson, G. Robertson, I. Raeburn, J. Spielberg, J.E. Hutchinson, K.R. Davidson, K.R. Davidson, M. Marcolli, N. Brownlowe, O. Bratteli, R. Strichartz, S. Mallat, S. Power, T. Carlsen   +39 more
core   +1 more source

On the Geometric Interpretation of the Nonnegative Rank [PDF]

, 2010
The nonnegative rank of a nonnegative matrix is the minimum number of nonnegative rank-one factors needed to reconstruct it exactly. The problem of determining this rank and computing the corresponding nonnegative factors is difficult; however it has ...
Aggarwal, Beasley, Ben-Tal, Berman, Berman, Berry, Carlini, Chu, Cichocki, Cohen, Conforti, Craig, Das, Donoho, François Glineur, Gillis, Gillis, Ifarraguerri, Kaibel, Klingenberg, Lee, Lin, Mitchell, Nicolas Gillis, Orlin, Peeters, Thomas, Vavasis, Wang, Watts, Yannakakis, Ziegler   +31 more
core   +2 more sources

A Preliminary Report of Network Electroencephalographic Measures in Primary Progressive Apraxia of Speech and Aphasia

Brain Sciences, 2022
The objective of this study was to characterize network-level changes in nonfluent/agrammatic Primary Progressive Aphasia (agPPA) and Primary Progressive Apraxia of Speech (PPAOS) with graph theory (GT) measures derived from scalp electroencephalography (
Rene L. Utianski, Hugo Botha, John N. Caviness, Gregory A. Worrell, Joseph R. Duffy, Heather M. Clark, Jennifer L. Whitwell, Keith A. Josephs   +7 more
doaj   +1 more source

Application of graph theory to the morphological analysis of settlements

, 2017
In the following paper, the analyses of morphology of settlements were conducted using graph methods. The intention of the author was to create a quantifiable and simple measure, which, in a quantitative way, would express the degree of development of a ...
Szmytkie Robert
semanticscholar   +2 more sources

Who is the best player ever? A complex network analysis of the history of professional tennis. [PDF]

PLoS ONE, 2011
We considered all matches played by professional tennis players between 1968 and 2010, and, on the basis of this data set, constructed a directed and weighted network of contacts.
Filippo Radicchi
doaj   +1 more source

Graph Spectral Properties of Deterministic Finite Automata

, 2014
We prove that a minimal automaton has a minimal adjacency matrix rank and a minimal adjacency matrix nullity using equitable partition (from graph spectra theory) and Nerode partition (from automata theory). This result naturally introduces the notion of
A. Goldberg, A. Nerode, C. Choffrut, J. Sakarovitch, P.V. Mieghem, S.M. Osnaga   +5 more
core   +1 more source

On the local structure of doubly laced crystals [PDF]

, 2006
Let $\mathfrak{g}$ be a Lie algebra all of whose regular subalgebras of rank 2 are type $A_{1}\times A_{1}$, $A_{2}$, or $C_{2}$, and let $B$ be a crystal graph corresponding to a representation of $\mathfrak{g}$.
Sternberg, Philip
core   +2 more sources

q-Rung Orthopair Fuzzy Matroids with Application to Human Trafficking

Discrete Dynamics in Nature and Society, 2021
The theory of q-rung orthopair fuzzy sets (q-ROFSs) is emerging for the provision of more comprehensive and useful information in comparison to their counterparts like intuitionistic and Pythagorean fuzzy sets, especially when responding to the models of
Muhammad Asif, Doha A. Kattan, Dragan Pamučar, Ghous Ali   +3 more
doaj   +1 more source

Flip-Breakability: A Combinatorial Dichotomy for Monadically Dependent Graph Classes [PDF]

Symposium on the Theory of Computing
A conjecture in algorithmic model theory predicts that the model-checking problem for first-order logic is fixed-parameter tractable on a hereditary graph class if and only if the class is monadically dependent.
Jan Dreier, Nikolas Mählmann, Szymon Toruńczyk   +2 more
semanticscholar   +1 more source

Social context prevents heat hormetic effects against mutagens during fish development

FEBS Letters, EarlyView.
This study shows that sublethal heat stress protects fish embryos against ultraviolet radiation, a concept known as ‘hormesis’. However, chemical stress transmission between fish embryos negates this protective effect. By providing evidence for the mechanistic molecular basis of heat stress hormesis and interindividual stress communication, this study ...
Lauric Feugere, Claudio Silva De Freitas, Adam Bates, Kenneth B. Storey, Pedro Beltran‐Alvarez, Katharina C. Wollenberg Valero   +5 more
wiley   +1 more source