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

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书目名称Color-Induced Graph Colorings
编辑Ping Zhang
视频video
概述Provides intriguing open problems and conjectures.Offers a comprehensive treatment of numerous color-induced graph colorings.Presents the background and motivation for the concept of color-induced col
丛书名称SpringerBriefs in Mathematics
图书封面Titlebook: Color-Induced Graph Colorings;  Ping Zhang Book 2015 Ping Zhang 2015 Graph colorings.Monochromatic Vertex Colorings.Proper Vertex Colorings
描述.A comprehensive treatment of color-induced graph colorings is presented in this book, emphasizing vertex colorings induced by edge colorings. The coloring 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, followed by a presentation of results and open questions dealing with this topic. While the edge colorings discussed can be either proper or unrestricted, the resulting vertex colorings are either proper colorings or rainbow colorings. This gives rise to a discussion of irregular colorings, strong colorings, modular colorings, edge-graceful colorings, twin edge colorings and binomial colorings. Since many of the concepts described in this book are relatively 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..
出版日期Book 2015
关键词Graph colorings; Monochromatic Vertex Colorings; Proper Vertex Colorings; Rainbow Vertex Colorings; colo
版次1
doihttps://doi.org/10.1007/978-3-319-20394-2
isbn_softcover978-3-319-20393-5
isbn_ebook978-3-319-20394-2Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightPing Zhang 2015
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Strong Edge Colorings of Graphs,tinguishing 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.
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2191-8198 ckground and motivation for the concept of color-induced col.A comprehensive treatment of color-induced graph colorings is presented in this book, emphasizing vertex colorings induced by edge colorings. The coloring concepts described in this book depend not only on the property required of the init
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Locating the Dry Lab on the Lab Mapstance, 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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Set-Defined Irregular Colorings,restricted edge colorings, where in that chapter the colors were members of some set . of integers modulo . and the induced color of a vertex was once again the sum (computed in .) of the colors of edges incident with the vertex.
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