Results 111 to 120 of about 3,567,425 (361)
Finding tight Hamilton cycles in random hypergraphs faster
, 2017 In an $r$-uniform hypergraph on $n$ vertices a tight Hamilton cycle consists of $n$ edges such that there exists a cyclic ordering of the vertices where the edges correspond to consecutive segments of $r$ vertices.
Allen, Peter +3 more
core +1 more source
Azaporphyrinoid‐Based Photo‐ and Electroactive Architectures for Advanced Functional Materials
Advanced Materials, EarlyView.A long‐standing collaboration between the Torres and Guldi groups has yielded diverse azaporphyrinoid‐based donor‐acceptor nanohybrids with promising applications in solar energy conversion. This conspectus highlights key molecular platforms and structure‐function relationships that govern light and charge management, supporting the rational design of ...
Jorge Labella +3 more
wiley +1 more source
On covering expander graphs by hamilton cycles [PDF]
Random Structures & Algorithms, 2012 AbstractThe problem of packing Hamilton cycles in random and pseudorandom graphs has been studied extensively. In this paper, we look at the dual question of covering all edges of a graph by Hamilton cycles and prove that if a graph with maximum degree Δ satisfies some basic expansion properties and contains a family of edge disjoint Hamilton cycles ...
Michael Krivelevich +2 more
openaire +2 more sources
Hamilton cycles in graphs and hypergraphs: an extremal perspective [PDF]
, 2014 As one of the most fundamental and well-known NP-complete problems, the Hamilton cycle problem has been the subject of intensive research. Recent developments in the area have highlighted the crucial role played by the notions of expansion and quasi ...
Kühn, Daniela, Osthus, Deryk
core +1 more source
Resilient degree sequences with respect to Hamilton cycles and matchings in random graphs
, 2019 P\'osa's theorem states that any graph $G$ whose degree sequence $d_1 \le \ldots \le d_n$ satisfies $d_i \ge i+1$ for all $i < n/2$ has a Hamilton cycle. This degree condition is best possible.
Condon, Padraig +4 more
core +1 more source
Advanced Materials Interfaces, EarlyView.This study demonstrates polydimethylsiloxane (PDMS) nanocomposite thin films incorporating ZnO and TiO2 nanoparticles, optimized using response surface methodology. The films exhibit tunable refractive index, high transparency, low optical loss, and sub‐MPa mechanical compliance.
Moqaddaseh Afzali Naniz +4 more
wiley +1 more source
Two Sufficient Conditions for Hamilton and Dominating Cycles
International Journal of Mathematics and Mathematical Sciences, 2012 We prove that if is a 2-connect graph of size (the number of edges) and minimum degree with , where when and when , then each longest cycle in is a dominating cycle.
Zh. G. Nikoghosyan
doaj +1 more source
Spectral radius and the 2-power of Hamilton cycle
Discrete Mathematics, 2023 Xinru Yan +3 more
semanticscholar +1 more source
A Microfluidic Multiplex Sorter for Strain Development
Advanced Materials Technologies, Volume 10, Issue 6, March 18, 2025.A new multiplex method for high‐throughput screening of yeast strains based on glucoamylase production is presented. Droplets containing single mutant yeast cells are incubated for enzyme production. A sorting platform divides mutants by their high‐ and mid‐activity levels.
Chiara Leal‐Alves +6 more
wiley +1 more source
Advanced Materials Technologies, EarlyView.A flexible NiO/graphene/polystyrene sensor is developed for real‐time temperature monitoring in food safety applications. It combines mechanical and humidity stability with fast response and low manufacturing complexity. Operating below 60 °C, this printable sensor offers a promising alternative to conventional thermistors, enabling seamless ...
Mahtab Taheri +4 more
wiley +1 more source