Results 31 to 40 of about 4,778,088 (249)
On the Non-(p−1)-Partite Kp-Free Graphs
Discussiones Mathematicae Graph Theory, 2013 We say that a graph G is maximal Kp-free if G does not contain Kp but if we add any new edge e ∈ E(G) to G, then the graph G + e contains Kp. We study the minimum and maximum size of non-(p − 1)-partite maximal Kp-free graphs with n vertices.
Amin Kinnari +3 more
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Diameter problems for univalent functions with quasiconformal extension
International Journal of Mathematics and Mathematical Sciences, 1993 This paper utilizes the method of extremal length to study several diameter problems for functions conformal outside of a disc centered at the origin, with a standard normalization, which possess a quasiconformal extension to a ring subdomain of this ...
Paul Deiermann
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ON AN EXTREMAL PROBLEM FOR NONOVERLAPPING DOMAINS [PDF]
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2018 The paper considers the problem of finding the range of functional I = J f (z 0), f (z 0), F ($ζ$ 0), F ($ζ$ 0) , defined on the class M of pairs functions (f (z), F ($ζ$)) that are univalent in the system of the disk and the interior of the disk, using the method of internal variations.
Pchelintsev, Evgeny A. +1 more
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The extremal algebra on two hermitians with square 1 [PDF]
, 2002 Let Ea(u,v) be the extremal algebra determined by two hermitians u and v with u2 = v2 = 1. We show that: Ea(u,v) = {f=gu:f,g ε C(T)}, where T is the unit circle; Ea(u,v) is C*-equivelant to C*(G), where G is the infinite dihedral group; most of the
Duncan, J., Crabb, M.J., McGregor, C.M.
core +1 more source
Extremal Problems for Geometric Hypergraphs [PDF]
Discrete & Computational Geometry, 1996 Bounds for the largest number of edges (\(i\)-simplices) in a geometric hypergraph with forbidden configurations such as intersecting edges, crossing edges, pairwise crossing edges, etc., are derived. Some of the bounds are tight.
Dey, T. K., Pach, János
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Constrained extremal solutions of multi-valued linear inclusions in Banach spaces
Journal of Inequalities and Applications, 2016 Let X and Y be Banach spaces, L be a linear manifold in X × Y $X\times Y$ , or, equivalently, the graph of a multi-valued linear operator from X to Y, and let S be a prescribed hyperplane in X, i.e. S = g + N $S=g+N$ .
Zi Wang, Boying Wu, Yuwen Wang
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Extra Edge Connectivity and Extremal Problems in Education Networks
Mathematics, 2022 Extra edge connectivity and diagnosability have been employed to investigate the fault tolerance properties of network structures. The p-extra edge connectivity λp(Γ) of a graph Γ was introduced by Fàbrega and Fiol in 1996.
Hongfang Liu +2 more
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Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation
FEBS Letters, EarlyView.Peptides and antibodies occupy complementary therapeutic niches. Peptides recognize difficult targets in a compact format, while antibodies add specificity, long half‐life, and effector functions. This review examines strategies that merge both modalities—peptide grafting into loops, terminal and Fc fusions, and bioconjugation—highlighting how ...
Jinling Wang +2 more
wiley +1 more source
FEBS Letters, EarlyView.How do genomes gain new functional parts? In eukaryotes, which tend to evolve under weak selection, much of the genome is junk. Palazzo and Qiu borrow the logic of Markov chains to show how non‐functional DNA becomes functional through the appearance of intermediate states, which arise due to epistasis, buffering, and biochemical messiness, allowing ...
Alexander F. Palazzo, Yi Qiu
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A functional integral inclusion involving Carathéodories
Electronic Journal of Qualitative Theory of Differential Equations, 2003 In this paper the existence of extremal solutions of a functional integral inclusion involving Carathéodory is proved under certain monotonicity conditions.
Bapurao Dhage
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