Results 121 to 130 of about 605,731 (305)
, 2013 A graph G is singular if the zero-one adjacency matrix has the eigenvalue zero. The multiplicity of the eigenvalue zero is called the nullity of G. For two vertices y and z of G, we call (G, y, z) a device with respect to y and z. The nullities of G, G − y, G − z and G − y − z classify devices into different kinds.
Borg, Martha +4 more
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Biodegradable and Biocompatible Functional Polymers for Biomedical Applications
Advanced Functional Materials, EarlyView.Biodegradable and biocompatible functional polymers integrate electrical, mechanical, and stimuli‐responsive functionalities while enabling programmed degradation under physiological conditions. This review introduces recent advances in conductive, shape‐memory, self‐healing, photocurable, and adhesive polymer systems, emphasizing material design ...
Won Bae Han +5 more
wiley +1 more source
Thickness and antithickness of graphs
Journal of Computational Geometry, 2018 This paper studies questions about duality between crossings and non-crossings in graph drawings via the notions of thickness and antithickness. The thickness of a graph $G$ is the minimum integer $k$ such that in some drawing of $G$, the edges can be ...
Vida Dujmović, David R. Wood
doaj +1 more source
Extremal subgraphs for two graphs
Journal of Combinatorial Theory, Series B, 1985 In this paper we study several interrelated extremal graph problems: (i) Given integers \(n,e,m\), what is the largest integer f(n,e,m) such that every graph with \(n\) vertices and \(e\) edges must have an induced m-vertex subgraph with at least \(f(n,e,m)\) edges? (ii) Given integers \(n,e,e'\), what is the largest integer \(g(n,e,e')\) such that any
Fan R. K. Chung +2 more
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Mono‐Material Polydisulfides for Pressure Sensitive Adhesive Tapes With Closed‐Loop Recyclability
Advanced Functional Materials, EarlyView.A high‐performance pressure‐sensitive adhesive (PSA) tape is developed where both the adhesive layer and plastic backing layer can be recycled back to monomer in a closed‐loop cycle. Both layers of the tape are composed of analogous polydisulfide copolymers using only two unique monomers, thus giving it a mono‐material design and enabling recycling of ...
Woojung Ham +3 more
wiley +1 more source
On the nontrivial extremal eigenvalues of graphs
Discrete MathematicsWe present a finer quantitative version of an observation due to Breuillard, Green, Guralnick and Tao which tells that for finite non-bipartite Cayley graphs, once the nontrivial eigenvalues of their normalized adjacency matrices are uniformly bounded away from $1$, then they are also uniformly bounded away from $-1$. Unlike previous works which depend
Wenbo Li, Shiping Liu
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The extreme set condition of a graph
Discrete Mathematics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shiying Wang, Jianxiu Hao
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Advanced Functional Materials, EarlyView.This study advances SafeWax, a bio‐inspired, fatty‐acids‐based superhydrophobic coating, by identifying an agriculturally compliant solvent and revealing how solvent‐controlled Fatty acid crystallization governs the coating's microscopic structure and performance.
Niv Ben‐Arie +13 more
wiley +1 more source
Extremal graphs for the odd prism
Discrete MathematicsThe Turán number $\mathrm{ex}(n,H)$ of a graph $H$ is the maximum number of edges in an $n$-vertex graph which does not contain $H$ as a subgraph. The Turán number of regular polyhedrons was widely studied in a series of works due to Simonovits. In this paper, we shall present the exact Turán number of the prism $C_{2k+1}^{\square} $, which is defined ...
Xiaocong He, Yongtao Li, Lihua Feng
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EXTREMAL DEPENDENCE IN EXCHANGE RATE MARKETS [PDF]
Exchange rate markets exhibit correlation in the short run, but the issue is whether such correlation lingers over long periods of time, and under extreme events (i.e., either large appreciations or depreciations).
Viviana Fernandez
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