TY - BOOK ID - 4865527 TI - Color-induced graph colorings PY - 2015 SN - 9783319203942 3319203932 9783319203935 3319203940 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Mathematics. KW - Graph Theory. KW - Combinatorics. KW - Mathématiques KW - ;. KW - Algebra KW - Mathematics KW - Physical Sciences & Mathematics KW - Graph coloring. KW - Coloring of graphs KW - Graph theory. KW - Graph theory KW - Combinatorics KW - Mathematical analysis KW - Graphs, Theory of KW - Theory of graphs KW - Combinatorial analysis KW - Topology KW - Extremal problems KW - Combinatorial analysis. UR - https://www.unicat.be/uniCat?func=search&query=sysid:4865527 AB - 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. ER -