Color-Induced Graph Colorings

• Main Author: Zhang, Ping (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Combinatorics.; Graph theory.; Graph Theory.

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,...

Table of Contents:

• 1. Introduction
• 2. The Irregularity Strength of a Graph
• 3. Modular Sum-Defined Irregular Colorings
• 4. Set-Defined Irregular Colorings
• 5. Multiset-Defined Irregular Colorings
• 6. Sum-Defined Neighbor-Distinguishing Colorings
• 7. Modular Sum-Defined Neighbor-Distinguishing Colorings
• 8. Strong Edge Colorings of Graphs
• 9. Sum-Defined Chromatic Indices
• References
• Index.