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Search results for: SEMI-EQUITABLE COLORING
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Dataset of non-isomorphic graphs of the coloring types (K4,K4;n), 1<n<R(4,4)
Open Research DataFor K4 graph, a coloring type (K4,K4;n) is such an edge coloring of the full Kn graph, which does not have the K4 subgraph in the first color (representing by no edges in the graph) or the K4 subgraph in the second color (representing by edges in the graph).The Ramsey number R(4,4) is the smallest natural number n such that for any edge coloring of...
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The surface of a fragment of the structure of an integrated circuit in the semi-contact mode.
Open Research DataThe surface of a fragment of the structure of an integrated circuit. Topographic measurements in the semi-contact mode. NTEGRA Prima (NT-MDT) device. NSG 01 probe.
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Concrete temperature measurements of cubic specimens cured under isothermal and semi-adiabatic conditions
Open Research DataThe DataSet contains temperature measurements of concrete cubes (150 x 150 x 150 mm) cured under isothermal and semi-adiabatic conditions. The specimens were moulded from six types of concrete mixtures produced in the laboratory conditions. Mix #1: Portland cement CEM I 42.5R and gravel aggregate, mix #2: CEM I 42.5R and basalt aggregate, mix#3: Portland-composite...
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Dataset of non-isomorphic graphs of the coloring types (K3,Km;n), 2<m<7, 1<n<R(3,m)
Open Research DataFor K3 and Km graphs, a coloring type (K3,Km;n) is such an edge coloring of the full Kn graph, which does not have the K3 subgraph in the first color (representing by no edges in the graph) or the Km subgraph in the second color (representing by edges in the graph).The Ramsey number R(3,m) is the smallest natural number n such that for any edge coloring...
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Dataset of non-isomorphic graphs of the coloring types (K3,Km-e;n), 2<m<7, 1<n<R(K3,Km-e).
Open Research DataFor K3 and Km-e graphs, a coloring type (K3,Km-e;n) is such an edge coloring of the full Kn graph, which does not have the K3 subgraph in the first color (representing by no edges in the graph) or the Km-e subgraph in the second color (representing by edges in the graph). Km-e means the full Km graph with one edge removed.The Ramsey number R(K3,Km-e)...
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Dataset of non-isomorphic graphs of the coloring types (Km,K3-e;n), 4<m<8, 1<n<R(Km,K3-e)
Open Research DataFor Km and K3-e graphs, a coloring type (Km,K3-e;n) is such an edge coloring of the full Kn graph, which does not have the Km subgraph in the first color (representing by no edges in the graph) or the K3-e subgraph in the second color (representing by edges in the graph). K3-e means the full Km graph with one edge removed.The Ramsey number R(Km,K3-e)...
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Dataset of non-isomorphic graphs of the coloring types (K4,Km-e;n), 2<m<5, 1<n<R(K4,Km-e)
Open Research DataFor K4 and Km-e graphs, a coloring type (K4,Km-e;n) is such an edge coloring of the full Kn graph, which does not have the K4 subgraph in the first color (representing by no edges in the graph) or the Km-e subgraph in the second color (representing by edges in the graph). Km-e means the full Km graph with one edge removed.The Ramsey number R(K4,Km-e)...
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Dataset of non-isomorphic graphs being coloring types (K3-e,Km-e;n), 2<m<8, 1<n<R(K3-e,Km-e)
Open Research DataFor K3-e and Km-e graphs, the type coloring (K3-e,Km-e;n) is such an edge coloring of the full Kn graph, which does not have the K3-e subgraph in the first color (no edge in the graph) or the Km-e subgraph in the second color (exists edge in the graph). Km-e means the full Km graph with one edge removed.The Ramsey number R(K3-e,Km-e) is the smallest...
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Dataset of non-isomorphic graphs being coloring types (K4-e,Km-e;n), 2<m<7, 1<n<R(K4-e,Km-e)
Open Research DataFor K4-e and Km-e graphs, the type coloring (K4-e,Km-e;n) is such an edge coloring of the full Kn graph, which does not have the K4-e subgraph in the first color (no edge in the graph) or the Km-e subgraph in the second color (exists edge in the graph). Km-e means the full Km graph with one edge removed.The Ramsey number R(K4-e,Km-e) is the smallest...
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Dataset of non-isomorphic graphs being coloring types (K5-e,Km-e;n), 2<m<5, 1<n<R(K5-e,Km-e)
Open Research DataFor K5-e and Km-e graphs, the type coloring (K5-e,Km-e;n) is such an edge coloring of the full Kn graph, which does not have the K5-e subgraph in the first color (no edge in the graph) or the Km-e subgraph in the second color (exists edge in the graph). Km-e means the full Km graph with one edge removed.The Ramsey number R(K5-e,Km-e) is the smallest...
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Dataset of non-isomorphic graphs being coloring types (K6-e,Km-e;n), 2<m<5, 1<n<R(K6-e,Km-e)
Open Research DataFor K6-e and Km-e graphs, the type coloring (K6-e,Km-e;n) is such an edge coloring of the full Kn graph, which does not have the K6-e subgraph in the first color (no edge in the graph) or the Km-e subgraph in the second color (exists edge in the graph). Km-e means the full Km graph with one edge removed. The Ramsey number R(K6-e,Km-e) is the smallest...
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Amplitude-distance spectroscopy in semi-contact mode
Open Research DataSince it was invented by Binnig et al. in 1986, atomic force microscopy (AFM) plays a key role in science and technology at the nanoscale. AFM is a microscopic technique that visualizes the surface topography using the attractive and repulsive forces of interaction between several atoms (in theory) of a blade attached to the end of the probe lever and...
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Fingerprint structure studies with semi-contact AFM
Open Research DataThe work [1] presents many, sometimes even surprising examples of the use of atomic force microscopy in modern forensics. Some of them are projectile tests using the characteristic scratch patterns created by the firing pin on the primer. There are more and more suggestions in the literature for the use of atomic force microscopy in dactyloscopy [2]....
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Topographic AFM imaging of the leaf surface with magnification of details of its morphological structure
Open Research DataTopographic imaging of the leaf surface with magnification of details of its morphological structure. Measurements in semi-contact mode. NTEGRA Prima (NT-MDT) device. NSG 01 probe.
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The AFM micrographs of gold nanoparticles on silicon substrate
Open Research DataThe dataset contains the first approach towards AFM topographic imaging of gold nanoparticles synthesized and immobilized on the silicon surface. Measurements were made in the semi-contact mode on the NTEGRA Prima device, manufactured by NT-MDT. Scans were performed with amplitude detection at an operating value of 60% of the free oscillation amplitude....
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Microscopic examination of the texture of paper products
Open Research DataAtomic force microscopy (AFM) can be used to study the state of the paper fibers with the aim of providing qualitative and semi-quantitative information on degradation and aging. The work [1] reports the results of tests of various paper products subjected to deliberate aging processes under the influence of various factors. Chemical and biological...
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Identification of intermetallic phases in the structure of austenitic steel with use of Scanning Kelvin Probe Microscopy
Open Research DataDelta ferrite is formed in austenitic steels during the solidification of the alloy and its welds. It can also occur as a stable phase in any temperature range in high-alloy austenitic-ferritic steels. Depending on the amount, it can change into gamma and sigma phases and into ferrite with variable chromium content. The main role of delta ferrite in...
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The AFM topographic measurements of the surface heterogeneity of iron hexacyanoferrate on a steel surface
Open Research DataMeasurements in semi-contact mode. NTEGRA Prima (NT-MDT) device. NSG 01 probe.
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Micoroalgae bloom detected in Southern Baltic Sea on 25.07.2014
Open Research DataThe GeoTIFF image presents detected microalgae bloom observed in the Baltic Sea on 25.07.2014. The image has been obtained from the raw AVHRR sensor bands 1 (0.58-0.68 μm) and 2 (0.725-1.0 μm). The resulting single-band raster has been masked to remove all pixels outside of the Baltic Sea region. Pixel values between -0.2 and -0.23 depict progressively...
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Silicon microcantilever with impedance sensor
Open Research DataThe issue of microelectromechanical systems (MEMS) [1] has been enjoying popularity and interest since the 90s of the 20th century. Microcells are one of the simplest devices of this type, but they can be widely used in sensors. There are reports on the possibility of using this type of sensors in the context of such important issues as diagnostics...
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Images of topography and mechanical properties (phase imaging) of cast iron samples from water installations
Open Research DataMeasurements in contact and semi-contact mode. NTEGRA Prima (NT-MDT) device. CSG 10.
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Imaging of graphene surface by means of tapping mode AFM
Open Research DataGraphene [1] is a material consisting of carbon planes with a hexagonal structure. One of the facts of interest from a purely scientific point of view is the very high mobility of electrons in the described material, allowing the study of relativistic effects inside a solid sample. Other features, such as bactericidal activity, make graphene an interesting...
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Detection of the acoustic interferences during AFM operation
Open Research DataAtomic force microscopy is a particularly complicated surface imaging technique due to the large number of factors that affect the quality of the resulting images. They are obviously difficult and sometimes even impossible to control at the same time. One of such factors may even be the seismological location of the building or the influence of mechanical...
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Austenitic stainless steel sensitization
Open Research DataHigh-alloy steels, thanks to their composition and content of appropriate alloying additives, are characterized by increased resistance to many corrosive environments. However, this is due to the increased sensitivity of the described construction materials to specific environmental conditions during their use. An example may be the increased susceptibility...
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Imaging and chemical investigation of silver coating
Open Research DataThe recovery of silver from materials such as plates, still used in clinical radiography [1], or scrap jewelery is still very popular. The subject of the research, part of which was microscopic imaging, was to recreate the behavior of an electrochemically deposited silver coating. The copper electrodes were covered with a layer of silver obtained from...
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Imaging of the effects of pitting corrosion with the use of AFM
Open Research DataPitting corrosion is a local attack on a metal surface, limited to a point or small area, which appears as a hole. Pitting corrosion is one of the most harmful forms of corrosion due to the fact that it is associated with small, difficult to detect damage, that can even lead to perforation of the structure. A single pit may range in size from micrometers...
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Imaging of biological samples: the ant Lasius Niger
Open Research DataThe world of arthropods continues to amaze researchers today. An example may be a relatively new report by a group of scientists on structures found in ant shells [1] Although calcareous anatomical structures have evolved in various groups of animals, little has been known so far about the occurrence of this type of form in insects. The authors of the...
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The surface of the sensor used in the analysis of odorous substances
Open Research DataHuman industrial activity usually leads to smaller or larger interference with the ecosystem, contributing to changes affecting the quality of life. An example may be the emission of gaseous substances, not necessarily toxic, but due to their intense smell, they can cause discomfort to people exposed to their inhalation. The problem is so important...
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Exemplary AFM application in cosmetology
Open Research DataAtomic force microscopy can be used in the diagnosis of the condition of human tissues such as skin, nails and hair. This is obviously related to the use of a variety of cosmetic products and can be understood as an attempt to assess their long-term impact on human appearance and health. An example may be the studies presented in [1] indicating the...
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Colvolutional calibration of AFM probe
Open Research DataAtomic force microscopy is based on the interaction of the examined surface with a probe of a pyramidal shape, tipped with a sharp end with a radius of curvature ranging from single nanometers to hundreds of nanometers. The resolution of the obtained image is of course dependent on the above-mentioned geometric size, and the resulting image is a convolutional...
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Destruction of AFM probes during normal operation
Open Research DataThe quality of the images obtained with the use of an atomic force microscope is determined by the state of the blade interacting with the tested material. Image artifacts can be generated by various reasons, such as oxidation, contamination or an error in blade fabrication, but also appear as a result of the repeated scanning process and inevitable...
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Visualization of the surface of the Nafion membrane
Open Research DataFuel cells use the chemical energy of hydrogen or other fuels to produce electricity. If the fuel is hydrogen, the only products are electricity, water and heat. Fuel cells are unique in the variety of their potential applications, they can use a wide variety of fuels. They are also highly scalable devices that can power both cars and mobile phones....
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Continuum orbitals in low energy scattering of electrons from Ar, Kr, Xe, Rn and Og atoms
Open Research DataThe dataset includes relativistic continuum electron wave functions (continuum orbitals, continuum spinors) for elastic scattering of electrons from Argon (Ar), Krypton (Kr), Xenon (Xe), Radon (Rn) and Oganesson (Og) atoms, calculated using the Multiconfiguration Dirac-Hartree-Fock method (MCDHF), at very low electron energies (0.0001 - 0.001 eV). Only...