Results 91 to 100 of about 395,936 (323)

Characterization of Fractional Mixed Domination Number of Paths and Cycles

Journal of Mathematics
Let G′ be a simple, connected, and undirected (UD) graph with the vertex set M(G′) and an edge set N(G′). In this article, we define a function f:M∪N⟶0,1 as a fractional mixed dominating function (FMXDF) if it satisfies fRmx=∑yϵRmxfy≥1 for all x∈MG′∪NG′,
P. Shanthi, S. Amutha, N. Anbazhagan, G. Uma, Gyanendra Prasad Joshi, Woong Cho   +5 more
doaj   +1 more source

Decomposition of Complete Bipartite Multigraphs Into Paths and Cycles Having k Edges

Discussiones Mathematicae Graph Theory, 2015
We give necessary and sufficient conditions for the decomposition of complete bipartite multigraph Km,n(λ) into paths and cycles having k edges. In particular, we show that such decomposition exists in Km,n(λ), when λ ≡ 0 (mod 2), and k(p + q) = 2mn for
Jeevadoss Shanmugasundaram, Muthusamy Appu   +1 more
doaj   +1 more source

The Structural Refinement of Commercial‐Purity Copper Processed by Equal Channel Angular Pressing with Low Strain Amplitude

Advanced Engineering Materials, EarlyView.
Equal channel angular pressing of commercial pure copper under low strain amplitude (≈0.48) induces concurrent continuous and localized discontinuous dynamic recrystallization, forming a duplex structure influenced by strain heterogeneity and recovery. Moderate hardening after 4–12 passes results from progressive high‐angle grain boundary formation via
Paula Cibely Alves Flausino, Nayara A. N. da Silva, Bárbara C. de Almeida, Taise M. Manhabosco, Elaine C. S. Corrêa, Maria T. P. Aguilar, Paulo R. Cetlin   +6 more
wiley   +1 more source

On the spectra of cycles and paths

, 2019
Energy of a graph was defined by E. Hückel as the sum of absolute values of the eigenvalues of the adjacency matrix during the search for a method to obtain approximate solutions of Schr¨odinger equation which include the energy of the corresponding system for a class of molecules.
ÇELİK, F., CANGÜL, I. N.
openaire   +3 more sources

On path-sequential labellings of cycles

Discrete Mathematics, 2000
Consider a labelling of the vertices of the cycle \(C_n\) by the integers \(0, 1, \ldots, n-1\), each vertex obtaining a distinct label. Such a labelling is called \(k\)-sequential, when the \(n\) sums of \(k\) adjacent labels form a set of consecutive integers.
openaire   +2 more sources

A Comprehensive Review of Additive Manufacturing for Space Applications: Materials, Advances, Challenges, and Future Directions

Advanced Engineering Materials, EarlyView.
Additive manufacturing (AM) transforms space hardware by enabling lightweight, high‐performance, and on‐demand production. This review outlines AM processes—powder bed fusion (PBF), directed energy deposition (DED), binder jetting (BJ), sheet lamination (SL), and material extrusion (ME)—applied to propulsion, satellite structures, and thermal devices ...
Stelios K. Georgantzinos, Eleni Papadopoulou, Grigorios Kostopoulos, Stefanos Voulgaris, Alexandra Tseni, Panteleimon Bakalis, Maria Gkara, Chara C. Mitropoulou, Nikos D. Lagaros   +8 more
wiley   +1 more source

Approximating the double-cut-and-join distance between unsigned genomes

BMC Bioinformatics, 2011
In this paper we study the problem of sorting unsigned genomes by double-cut-and-join operations, where genomes allow a mix of linear and circular chromosomes to be present.
Yu Jiadong, Sun Ruimin, Chen Xin
doaj   +1 more source

The congruence classes of paths and cycles

Discrete Mathematics, 2009
AbstractBy traversing square lattices, the cardinality of the set of congruence classes induced by the graph endomorphisms of undirected paths is determined. Enhancing this idea, formulas for the cardinality of the set of endomorphisms and the set of congruence classes of undirected cycles are developed.
Martin A. Michels, Ulrich Knauer
openaire   +2 more sources

Deformation Behavior of Optical Ceramic Nanomultilayers: The Role of Aperiodicity

Advanced Engineering Materials, EarlyView.
Ceramic nanomultilayers demonstrate optical and mechanical behavior tunability through aperiodicity. Within the studied systems, optically optimized coatings exhibit an average ultraviolet, visible, and near‐infrared spectral transmittance above 90%.
Danielle E. White, Wenjuan Cheng, Koushik Jagadish, Edoardo Rossi, Yu‐Tsun Shao, Andrea M. Hodge   +5 more
wiley   +1 more source

Adjustment of Coatings Morphology and Particle Distribution of Layered Silicates by Freeze‐Drying for Improved Gas Barriers

Advanced Engineering Materials, EarlyView.
Freeze‐drying of layered silicate is the key to get coatings with superior gas barrier. Freeze‐drying of layered silicates modified with dodecylamine (DDA) is a highly effective technique for the preparation of barrier pigments that significantly mitigate the permeation of oxygen, water vapor, and hydrogen through polymer films containing these ...
Joshua Lommes, Moritz Bätcher, Andrea Deißenberger, Volkmar Stenzel, Andreas Hartwig   +4 more
wiley   +1 more source