Results 51 to 60 of about 491 (139)
Maximal hypercubes in Fibonacci and Lucas cubes
The Fibonacci cube $ _n$ is the subgraph of the hypercube induced by the binary strings that contain no two consecutive 1's. The Lucas cube $ _n$ is obtained from $ _n$ by removing vertices that start and end with 1. We characterize maximal induced hypercubes in $ _n$ and $ _n$ and deduce for any $p\leq n$ the number of maximal $p$-dimensional ...
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Counting the sum of cubes for Lucas and Gibonacci numbers
Lucas and Gibonacci numbers are two sequences of numbers derived from a welknown numbers, Fibonacci numbers. The difference between Lucas and Fibonacci numbers only lies on the first and second elements. The first element in Lucas numbers is 2 and the second is 1, and nth element, n ≥ 3 determined by similar pattern as in the Fibonacci numbers, i ...
Wamiliana Wamiliana +2 more
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The Financial Status and Local Credit Market Conditions of U.S. Farms Engaged in Multiple Borrowing
ABSTRACT Agricultural producers often borrow from multiple lenders, raising concerns about credit risk and monitoring. We construct detailed farm‐level measures of how debt is distributed across lenders and examine how farm financial status and the physical presence of local lenders are linked to this practice.
Sylvanus Gaku +3 more
wiley +1 more source
ABSTRACT Introduction The management of extremity soft tissue sarcomas (STS) involving major vessels presents unique challenges, historically leading to amputation. Advances in vascular reconstruction have enabled limb‐sparing surgery (LSS), but outcomes and perioperative risks remain uncertain.
Lucas Monteiro Delgado +9 more
wiley +1 more source
A low‐speed impact (around one meter per second) of a metallic tip on an explosive confined by a thin plate is simulated. The heat due to friction between the tip and the plate and the one due to the deformation of the plate are not transfered to the ignited zone.
Lucas Bonneau, Didier Picart
wiley +1 more source
JWST/NIRSpec Reveals the Atmospheric Driver of Saturn's Variable Magnetospheric Rotation Rate
Abstract Past measurements of Saturn's upper atmosphere have allowed only a broad scale view of the temperature and ion density structures within the auroral region. However, Saturn's auroral currents include a planetary period current component that is produced by neutral atmospheric flows.
Tom S. Stallard +15 more
wiley +1 more source
ABSTRACT Until now, the genetic identity of common grass snakes (Natrix natrix) in Poland remained poorly understood. This study presents the first comprehensive phylogeographic analysis for Poland using mitochondrial DNA sequences (cyt b and ND4 + tRNAs) and 13 nuclear microsatellite loci.
Andrea Criado‐Flórez +12 more
wiley +1 more source
Generalized Fibonacci and Lucas cubes arising from powers of paths and cycles
19 pages.
P. Codara, O.M. D’Antona
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Diophantine tuples and product sets in shifted powers
Abstract Let k⩾2$k\geqslant 2$ and n≠0$n\ne 0$. A Diophantine tuple with property Dk(n)$D_k(n)$ is a set of positive integers A$A$ such that ab+n$ab+n$ is a k$k$th power for all a,b∈A$a,b\in A$ with a≠b$a\ne b$. Such generalizations of classical Diophantine tuples have been studied extensively.
Ernie Croot, Chi Hoi Yip
wiley +1 more source
Results on the domination number and the total domination number of Lucas cubes
Summary: Lucas cubes are the special subgraphs of Fibonacci cubes. For small dimensions, their domination numbers are obtained by direct search or integer linear programming. For larger dimensions some bounds on these numbers are given. In this work, we present the exact values of total domination number of small dimensional Lucas cubes and present ...
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