Titlebook: Color-Induced Graph Colorings; Ping Zhang Book 2015 Ping Zhang 2015 Graph colorings.Monochromatic Vertex Colorings.Proper Vertex Colorings

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Sum-Defined Chromatic Indices,stance, the edge colorings give rise to proper vertex colorings. In both instances, however, the color of a vertex is the sum of the colors of its incident edges. We begin with edge colorings in which the colors are positive integers.

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Book 2015oring concepts described in this book depend not only on the property required of the initial edge coloring and the kind of objects serving as colors, but also on the property demanded of the vertex coloring produced. For each edge coloring introduced, background for the concept is provided, followe

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2191-8198 g some new areas of graph colorings as well as researchers and graduate students in the mathematics community, especially the graph theory community..978-3-319-20393-5978-3-319-20394-2Series ISSN 2191-8198 Series E-ISSN 2191-8201

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Book 2015ively recent, the audience for this book is primarily mathematicians interested in learning some new areas of graph colorings as well as researchers and graduate students in the mathematics community, especially the graph theory community..

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Color-Induced Graph Colorings978-3-319-20394-2Series ISSN 2191-8198 Series E-ISSN 2191-8201

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Dietmar Dietrich,Volker Hartmann Cardelle We saw that this often requires a large number of colors in comparison with sum-defined vertex colorings described earlier. There is also a related irregular edge coloring for which the induced vertex colors are multisets rather than sets, which is necessarily more restrictive.

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Foundations for the Simulation of Ecosystemstinguishing or neighbor-distinguishing. In this chapter, we turn our attention from unrestricted edge colorings to proper edge colorings that induce set-defined vertex colorings which are either vertex-distinguishing or neighbor-distinguishing.