Results 21 to 30 of about 491 (139)
$q$-counting hypercubes in Lucas cubes
TURKISH JOURNAL OF MATHEMATICS, 2018 Summary: Lucas and Fibonacci cubes are special subgraphs of the binary hypercubes that have been proposed as models of interconnection networks. Since these families are closely related to hypercubes, it is natural to consider the nature of the hypercubes they contain.
Saygi, Elif, Eğecioğlu, Ömer
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Edge General Position Sets in Fibonacci and Lucas Cubes
Bulletin of the Malaysian Mathematical Sciences Society, 2023 AbstractA set of edges$$X\subseteq E(G)$$X⊆E(G)of a graphGis an edge general position set if no three edges fromXlie on a common shortest path inG. The cardinality of a largest edge general position set ofGis the edge general position number ofG. In this paper, edge general position sets are investigated in partial cubes.
Sandi Klavžar, Elif Tan
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Applicable Analysis and Discrete Mathematics, 2012 Let f be is a binary string and d?1. Then the generalized Lucas cube Qd(f?)is introduced as the graph obtained from the Qd by removing all vertices that have a circulation containing f as a substring. The question for which f and d, the generalized Lucas cube Qd(f?) is an isometric subgraph of the d-cube Qd is solved for all binary strings ...
Aleksandar Ilic +2 more
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Vertex and Edge Orbits of Fibonacci and Lucas Cubes [PDF]
Annals of Combinatorics, 2016 The Fibonacci cube $Γ_n$ is obtained from the $n$-cube $Q_n$ by removing all the vertices that contain two consecutive 1s. If, in addition, the vertices that start and end with 1 are removed, the Lucas cube $Λ_n$ is obtained. The number of vertex and edge orbits, the sets of the sizes of the orbits, and the number of orbits of each size, are determined
Ashrafi, Ali Reza +4 more
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The parameters of Fibonacci and Lucas cubes
Ars Mathematica Contemporanea, 2016 Motivated by the conjectures from Castro, et al. in 2011, in this paper we use integer programming formulations for computing the domination number, the 2-packing number and the independent domination number of Fibonacci cubes and Lucas cubes for n ≤ 13 .
Ilić, Aleksandar, Milošević, Marko
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Assembling a True “Olympic Gel” From over 16 000 Combinatorial DNA Rings
Advanced Materials, EarlyView.Olympic gels are an elusive class of soft matter, consisting of molecular networks held together purely by mechanically interlocked rings. Their topological structure promises unique properties and functions, but their synthesis has proven notoriously difficult.
Sarah K. Speed +9 more
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The Anatomical Record, EarlyView.Abstract The complex evolutionary history behind modern mammalian chewing performance and hearing function is a result of several changes in the entire skeletomuscular system of the skull and lower jaw. Lately, exciting multifunctional 3D analytical methods and kinematic simulations of feeding functions in both modern and fossil mammals and their ...
Julia A. Schultz
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The Anatomical Record, EarlyView.We describe the functional anatomy of masticatory muscles in nine opossums, finding a generalized anatomical pattern with differences related to skull morphology. Variation in quantitative myological data and estimated bite force was mostly related to size, and the increase in bite force supports dietary diversification associated with size increase ...
Juann A. F. H. Abreu, Diego Astúa
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Land Degradation &Development, EarlyView.ABSTRACT Land use change (LUC) from paddy rice to sugarcane cultivation strongly influences soil organic carbon (SOC) stocks, with the extent and direction of change depending on residue management and time since conversion. This study aimed to (i) evaluate SOC stock changes under different residue management practices and conversion periods following ...
Nipon Mawan +3 more
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On the Wiener index of generalized Fibonacci cubes and Lucas cubes
Discrete Applied Mathematics, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Klavžar, Sandi, Rho, Yoomi
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