Results 91 to 100 of about 605,731 (305)
Hypergraphs with infinitely many extremal constructions
Discrete Analysis, 2023 Hypergraphs with infinitely many extremal constructions, Discrete Analysis 2023:18, 34 pp. A fundamental result in extremal graph theory, Turán's theorem, states that the maximal number of edges of a graph with $n$ vertices that does not contain a ...
Jianfeng Hou +4 more
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On extremal k-outconnected graphs
Discrete Mathematics, 2008 The author cites two results of \textit{W. Mader} [Arch. Math. 23, 553--560 (1972; Zbl 0228.05119), Math. Nachr. 53, 145--150 (1972; Zbl 0217.02504), and Abh. Math. Semin. Univ. Hamb. 37, 86--97 (1972; Zbl 0215.33803)] and one of \textit{M. Cai} [Discrete Math. 41, 229--234 (1982; Zbl 0522.05040)] for minimally \(k\)-connected graphs.
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Digraph extremal problems, hypergraph extremal problems, and the densities of graph structures [PDF]
, 1984 We consider extremal problems ‘of Turán type’ for r-uniform ordered hypergraphs, where multiple oriented edges are permitted up to multiplicity q. With any such ‘(r, q)-graph’ Gn we associate an r-linear form whose maximum over the standard (n − 1 ...
Simonovits, M, Brown, W.G
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Arthritis Care &Research, EarlyView.Objective Youth who experience a sport‐related knee injury have elevated odds of becoming overweight or developing obesity in 3 to 10 years, compounding their risk for posttraumatic osteoarthritis (PTOA). To inform prevention strategies, this study compared patterns of adiposity change between youth with a sport‐related knee injury and uninjured youth ...
Justin M. Losciale +6 more
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Extremal Unicyclic Graphs With Minimal Distance Spectral Radius
Discussiones Mathematicae Graph Theory, 2014 The distance spectral radius ρ(G) of a graph G is the largest eigenvalue of the distance matrix D(G). Let U (n,m) be the class of unicyclic graphs of order n with given matching number m (m ≠ 3).
Lu Hongyan, Luo Jing, Zhu Zhongxun
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Advanced Engineering Materials, Volume 27, Issue 6, March 2025.ErB4 and NdB4 nanostructured powders are produced by mechanochemical synthesis. 5 h mechanical alloying and 4 M HCl acid leaching are used in the production. ErB4 and NdB4 powders exhibit maximum magnetization of 0.4726 emu g−1 accompanied with an antiferromagnetic‐to‐paramagnetic phase transition at about TN = 18 K and 0.132 emu g−1 with a maximum at ...
Burçak Boztemur +5 more
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On Extremal Graphs with Bounded Girth
Electronic Notes in Discrete Mathematics, 2009 Abstract By the extremal number ex ( n ; t ) = ex ( n ; { C 3 , C 4 , … , C t } ) we denote the maximum size (number of edges) in a graph of n vertices, n > t , and girth (length of shortest cycle) at least g ⩾ t + 1 .
Charles Delorme +4 more
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A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
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Advanced Engineering Materials, EarlyView.A numerical–experimental framework is developed for characterizing multi‐matrix fiber‐reinforced polymers (MM‐FRPs) combining epoxy and polyurethane matrices. Harmonic bending tests are integrated with finite element model updating (FEMU) to simultaneously identify elastic and viscoelastic material parameters.
Rodrigo M. Dartora +4 more
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Advanced Engineering Materials, EarlyView.Geometry‐driven thermal behavior in wire‐arc additive manufacturing (WAAM) influences microstructural evolution during nonequilibrium solidification of a chemically complex Fe–Cr–Nb–W–Mo–C nanocomposite system. By comparing different deposits configurations, distinct entropy–cooling rate correlations, segregation, and carbide evolution are revealed ...
Blanca Palacios +5 more
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