- Advanced Graph Theory Research
- Graph Labeling and Dimension Problems
- Limits and Structures in Graph Theory
- graph theory and CDMA systems
- Complexity and Algorithms in Graphs
- Graph theory and applications
- Artificial Intelligence in Games
- Molecular Junctions and Nanostructures
- Carbon Nanotubes in Composites
- Algorithms and Data Compression
- Computational Geometry and Mesh Generation
- Genome Rearrangement Algorithms
- Graphene research and applications
- Computability, Logic, AI Algorithms
- Optimization and Search Problems
- Genomics and Phylogenetic Studies
- Chromosomal and Genetic Variations
- Surface and Thin Film Phenomena
- Cancer therapeutics and mechanisms
- Network Packet Processing and Optimization
- Game Theory and Applications
- Interconnection Networks and Systems
- Data Management and Algorithms
- Fullerene Chemistry and Applications
- Boron and Carbon Nanomaterials Research
Universidade Federal Fluminense
2015-2024
Fundação de Apoio à Escola Técnica
2023
Universidade Federal de Juiz de Fora
2005-2022
Université Grenoble Alpes
2022
SurgiMedia (France)
2022
Centre National de la Recherche Scientifique
2015-2022
Sociedade Brasileira de Educação Matemática
2015-2022
Universidade do Estado do Rio de Janeiro
2017
National Council for Scientific and Technological Development
2015
Universidade Federal do Rio de Janeiro
2000-2015
Recently, Zheng and Jiang [Phys. Rev. Lett. 88, 045503 (2002)]] have proposed that multiwalled carbon nanotubes could be the basis for a new generation of nano-oscillators in several gigahertz range. In this Letter, we present first molecular dynamics simulation these systems. Different nanotube types were considered order to verify reliability such devices as oscillators. Our results show are dynamically stable when radii difference values between inner outer tubes approximately 3.4 A....
We report molecular dynamics studies of carbon nanotubes as mechanical gigahertz oscillators. Our results show that different oscillatory regimes exist but sustained oscillations are possible only when the radii difference values inner and outer tubes . Frequencies large 87 GHz were obtained. Calculated force frequency in good agreement with estimated data from recent experimental investigations.
We present a study of the structural and quantum conductance properties atomic-size copper nanowires generated by mechanical stretching. The atomistic evolution was derived from time-resolved electron microscopy observations molecular dynamics simulations. have analyzed transport behavior means measurements theoretical calculations. results suggest formation an unusual highly stable pentagonal Cu nanowire with diameter approximately 0.45 nm 4.5 quanta.
In 2003, the frequency assignment problem in a cellular network motivated Even et al. to introduce new coloring problem: Conflict-Free coloring. Inspired by this and Gardner-Bodlaender's game, 2020, Chimelli Dantas introduced Closed Neighborhood \(k\)-coloring game (CFCN game). The starts with an uncolored graph \(G\), \(k\geq 2\) different colors, two players, Alice Bob, who alternately color vertices of \(G\). Both players can start respect following legal rule: for every vertex \(v\), if...
The mechanical properties of the so-called 'super' carbon nanotubes (STs) are investigated using classical molecular dynamics simulations.The STs built from single walled (SWCNTs) connected by Y-like junctions forming an ordered nanotube network that is then rolled into a seamless cylinder.We observed ST behavior under tensile tests similar to one presented fishing nets.This interesting provides way vary accessible channels inner parts applying external load.The Young's modulus dependent on...
We report a theoretical investigation of the mechanical properties idealized networks formed by single-walled carbon nanotubes showing crossbar and hexagonal architectures. The study was performed using molecular mechanics calculations impact dynamics simulations based on bond-order empirical potential. studied were predicted to have elasticity modulus $\ensuremath{\sim}10--100\phantom{\rule{0.3em}{0ex}}\mathrm{GPa}$ bulk $\ensuremath{\sim}10\phantom{\rule{0.3em}{0ex}}\mathrm{GPa}$. results...
We study the ( a, b )-monochromatic transversal game that is a combinatorial Maker–Breaker where Alice and Bob alternately colour vertices in red blue of hypergraph, respectively. Either player enabled to start game. tries construct hyperedge transversal, prevent this. The winner if she obtains transversal; otherwise, wins he monochromatic hyperedge. games were determined be PSPACE-complete. In this work, we analyze played on clique-hypergraphs powers cycles, show strategies that, depending...
A simple model is developed to predict the complex mechanical properties of carbon nanotube sheets (buckypaper) [L. J. Hall et al., Science 320, 504 (2008)]. Fabricated using a similar method that deployed for making writing paper, these buckypapers can have in-plane Poisson's ratios changed from positive negative, becoming auxetic, as multiwalled nanotubes are increasingly mixed with single-walled nanotubes. Essential structural features incorporated into model: isotropic properties,...
Graphs and Algorithms A set C of vertices a graph G is P(3)-convex if v an element for every path uvw in with u, w C. We prove that it NP-complete to decide given integer p whether the vertex can be partitioned into non-empty disjoint sets. Furthermore, we study such partitions variety classes.
A snark is a cyclically-4-edge-connected cubic graph with chromatic index 4. In 1880, Tait proved that the Four-Color Conjecture equivalent to statement every planar bridgeless has 3. The search for counter-examples motivated definition of snarks. k-total-coloring G an assignment k colors edges and vertices G, so adjacent or incident elements have different colors. total number denoted by χT(G), least which k-total-coloring. Rosenfeld shown either 4 5. However, problem determining NP-hard...
We study the concept of an H-partition vertex set a graph G, which includes all partitioning problems into four parts we require to be nonempty with only external constraints according structure model H, exception two cases, one that has already been classified as polynomial, and other remains unclassified. In context more general vertex-partition problems, addressed in this paper have these properties: non-list, 4-part, (no internal constraints), each part non-empty. describe tools yield...
We report high-resolution transmission electron microscopy and molecular dynamics simulation results of mechanically stretching nanowires leading to linear atomic suspended chain (LAC) formation. In contrast with some previous experimental theoretical works in the literature that stated formation LAC's for copper should be unlikely our showed existence [111], [110], [100] crystallographic directions, being thus sequence most probable occurrence. Our clearly indicate temperture pulling...