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coloring
Is there a normalPk coloring usingr colors for a given graph? This problem is called the (k, r) path chromatic number problem of graphs.
      
The choice number of a graph G, denoted by xl(G), is the minimum number k such that if a list of k colors is given to each vertex of G, there is a vertex coloring of G where each vertex receives a color from its own list no matter what the lists are.
      
The experiments were performed with the callus cultures of the cells of ginseng (Panax ginseng), red root puccoon (Lithospermum arythrorhizon), and macrotomia coloring (Macrotomia euchroma) onboard the orbital station Mirand American Space Shuttle.
      
Effect of coloring impurities on the absorption in neodymium phosphate laser glass at a lasing wavelength
      
Generalization of a theorem of Kotzig and a prescribed coloring of the edges of planar graphs
      
Structure of neighborhoods of edges in planar graphs and simultaneous coloring of vertices, edges and faces
      
A coloring of graph vertices is called acyclic if the ends of each edge are colored in distinct colors and there are no two-colored cycles.
      
Three-Dimensional Manifolds Defined by Coloring a Simple Polytope
      
These manifolds originate from three-dimensional polytopes whose faces allow a coloring into three colors with the help of the construction used for studying quasitoric manifolds.
      
A coloring of the vertices of a graph is called acyclic if the ends of each edge are colored in distinct colors, and there are no two-colored cycles.
      
It is proved in [1] that the resulting pseudograph admits an acyclic coloring with the number of colors depending linearly on N and .
      
Two classical problems of combinatorial geometry, the Borsuk problem about splitting sets into parts of smaller diameter and the Erd?s-Hadwiger problem about coloring Euclidean space, are studied.
      
Two classical problems of combinatorial geometry, the Borsuk problem about splitting sets into parts of smaller diameter and the Erd?s-Hadwiger problem about coloring Euclidean space, are studied.
      
We give sufficient conditions for a perfect coloring of the Johnson graph to be k-regular and present examples of perfect colorings.
      
The mechanism of coloring, which is determined by the dispersity of metal particles in the film, is generalized.
      
Potassium Iodide in Coloring of Polyvinyl Alcohol Film in Oxidizing Solution
      
Conversion of potassium iodide in polyvinyl alcohol film by its treatment in the (NH4)2S2O8- CuSO4-KI-KCl-H2SO4-H2O oxidizing solution, leading to coloring of the film with molecular iodine, was studied.
      
The effect of various factors (temperature of drying of the core substance, polymer concentration, concentration of coloring component, mechanical treatment procedures) on the preparation and properties of shell filler pigments was examined.
      
The anodic dissolution of color carrier of colored aluminum anodic oxide films (AOF) is studied before and after their coloring, using ac in various electrolytes containing Cu(II).
      
The model based on the presence of cluster defects in oxide crystals explains well the experimental data on the thermal and radiative coloring of these crystals.
      
 

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