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Coloring letters a. A proper coloring of a graph g is the coloring of the. The prime labeling of sunflower graph is given in13. A flower is the graph obtained from a helm by joining each pendant vertex to the central vertex of the helm.
In the whole paper the term coloring will be used to define vertex coloring of graphs. The chromatic polynomial of the wheel graph w n is. Keywords n star coloring star chromatic number middle graph central graph and total graph.
For even n w n has chromatic number 4 and when n 6 is not perfect. It is an assignment of labels traditionally called colors to elements of a graph subject to certain constraints. Coloring of g where the vertex u is assigned the color wu.
This is called a vertex coloringsimilarly an edge coloring assigns a color to each. For odd values of n w n is a perfect graph with chromatic number 3. Central and total graph of wheel graph families w n.
In graph theory graph coloring is a special case of graph labeling. In complex analysis domain coloring or a color wheel graph is a technique for visualizing complex functions by assigning a color to each point of the complex planeby assigning points on the complex plane to different colors and brightness domain coloring allows for a four dimensional complex function to be easily represented and understood. In its simplest form it is a way of coloring the vertices of a graph such that no two adjacent vertices are of the same color.
The vertices of the cycle can be given two colors and the center vertex given a third color. Thelocal antimagic total chromatic number denoted by latg is the minimum number of colors taken over all colorings induced by local vertex antimagic total labelings of g. The rainbow coloring of corona of flower graph is proved to be 3.
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