Results 101 to 110 of about 626,146 (282)

The Fibonacci numbers of certain subgraphs of circulant graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2015
The Fibonacci number ℱ(G) of a graph G with vertex set V(G), is the total number of independent vertex sets S⊂V(G); recall that a set S⊂V(G) is said to be independent whenever for every two different vertices u,v∈S there is no edge between them.
Loiret Alejandría Dosal-Trujillo   +1 more
doaj   +1 more source

Practical numbers in Lucas sequences [PDF]

open access: yesQuaestiones Mathematicae, 2018
A practical number is a positive integer n such that all the positive integers m ≤ n can be written as a sum of distinct divisors of n. Let (un)n≥0 be the Lucas sequence satisfying u0 = 0, u1 = 1, and un+2 = aun+1 + bun for all integers n ≥ 0, where a and b are fixed nonzero integers. Assume a(b + 1) even and a 2 + 4b > 0.
openaire   +2 more sources

Discovery of an Adaptive Neuroimmune Response Driving Itch and Fast Tick Removal with Implications for Preventing Pathogen Transmission

open access: yesAdvanced Science, EarlyView.
Itch‐induced tick removal (IITR): An acquired neuroimmune mechanism, itch‐induced tick removal, develops after repeated tick exposure, mobilizing T cells and macrophages at the tick bite site to trigger a rapid scratching response that facilitates timely tick removal within a critical window that precedes the transmission of many tick‐borne pathogens ...
Johannes S. P. Doehl   +27 more
wiley   +1 more source

A note on Fibonacci and Lucas number of domination in path

open access: yesElectronic Journal of Graph Theory and Applications, 2018
Let G = (V(G), E(G)) be a path of order n ≥ 1. Let fm(G) be a path with m ≥ 0 independent dominating vertices which follows a Fibonacci string of binary numbers where 1 is the dominating vertex.
Leomarich F Casinillo
doaj   +1 more source

Inherently Disordered Auxetic Metamaterials

open access: yesAdvanced Science, EarlyView.
Inherently disordered auxetic metamaterials based on random chiral Delaunay triangulations are designed and investigated using numerical simulations and experimental tests. These disordered frameworks exhibit orthotropic behavior and a large negative Poisson's ratio (ca.
Matteo Montanari   +3 more
wiley   +1 more source

Leveraging Artificial Intelligence and Large Language Models for Cancer Immunotherapy

open access: yesAdvanced Science, EarlyView.
Cancer immunotherapy faces challenges in predicting treatment responses and understanding resistance mechanisms. Artificial intelligence (AI) and machine learning (ML) offer powerful solutions for cancer immunotherapy in patient stratification, biomarker discovery, treatment strategy optimization, and foundation model development.
Xinchao Wu   +4 more
wiley   +1 more source

Mass‐Produced and High‐Performance Nanowell Biosensor Fabricated via Semiconductor Manufacturing for Rapid and Accurate COVID‐19 Diagnosis in the Clinical Field

open access: yesAdvanced Science, EarlyView.
A semiconductor‐fabricated nanowell biosensor enables rapid, scalable, and highly reproducible detection of SARS‐CoV‐2 antigens from nasal swabs within ∼10 minutes. Clinical validation in 249 retrospective and 243 prospective patient samples demonstrates high sensitivity and specificity, minimal cross‐reactivity, and robust batch‐to‐batch ...
Yoo Min Park   +11 more
wiley   +1 more source

Early progress on the "problem of economic development" [PDF]

open access: yes
This study describes recent attempts to solve what Lucas has called the "problem of economic development"—the problem of accounting for the great disparity in per-capita output across countries.
James A. Schmitz, Jr.
core   +1 more source

Generalized Balancing and Balancing-Lucas numbers

open access: yesProyecciones (Antofagasta)
In this paper, we introduce a generalization of Balancing and Balancing-Lucas numbers. We describe some of their properties also we give the related matrix representation and divisibility properties.
Al-Zoubi, Hasan, Al-Kateeb, Ala'a
openaire   +3 more sources

Decoding the Mechanism of Action of a Parasite TGFβ Antagonist Inspires the Creation of Cell‐Type‐Specific TGFβ Modulators

open access: yesAdvanced Science, EarlyView.
The mammalian TGFβ interacts with ubiquitously expressed TGFBR1 and TGFBR2, and current TGFβ‐targeting agents are non‐cell‐selective. The cooperative interaction of the modular parasite TGFβ antagonist with multiple host (co‐)receptors empowers the design of TGM chimeras and bispecific antibodies that activate or inhibit TGFβ signaling in a cell ...
Maarten van Dinther   +13 more
wiley   +1 more source

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