Domination in Graphs: Core Concepts

This monograph provides an in-depth introduction to domination in graphs, focusing on three core concepts: domination, total domination, and independent domination. It contains major results on these foundational domination numbers and serves as a valuable reference resource for established researchers, researchers in graph theory, and graduate students with interests in graph theory.

Format: Hardback
Length: 644 pages
Publication date: 30 April 2023
Publisher: Springer International Publishing AG

This monograph is a comprehensive guide to domination in graphs, delving into three fundamental concepts: domination, total domination, and independent domination. It offers a wealth of significant results on these foundational domination numbers, accompanied by detailed proofs that serve as a valuable toolbox for proof techniques in domination theory. Designed as a valuable reference resource for a diverse readership, the book caters to established researchers in the field of domination seeking an up-to-date and comprehensive overview of the theory, as well as graph theory researchers interested in exploring newer topics in domination, along with significant advancements in the field and the proof methodologies employed. Additionally, it serves as a valuable resource for graduate students with an interest in graph theory, particularly those considering domination theory and its real-world applications for their master's and doctoral thesis topics.

The authors have meticulously crafted this monograph to provide a focused and in-depth exploration of domination in graphs. To achieve this, they have compiled and published two prior contributed volumes: Topics in Domination in Graphs,© 2020, and Structures of Domination in Graphs,© 2021. This book completes the coverage, ensuring a comprehensive and up-to-date understanding of the subject matter. It is assumed that the reader possesses a foundational understanding of graph theory and has encountered introductory-level graph theory concepts. To enhance clarity, a glossary of terms and notation is provided at the end of the book, aiding in the navigation of the complex terminology used throughout.

Weight: 1154g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031094958
Edition number: 1st ed. 2023